## journal of nonlinear differential equations

Papers addressing new theoretical techniques, novel ideas, and new analysis tools are suitable topics for the journal. and are modeled by ordinary or partial difference and differential equations. Reduced differential transform method for nonlinear integral member of Kadomtsev–Petviashvili hierarchy differential equations Mohamed S. Mohamed and Khaled A. Gepreel Journal of the Egyptian Mathematical Society , 2017, Volume 25, Number 1, Page 1 Volume 28 January 2021. Journal of Differential Equations | Citations: 9,362 | The Journal of Differential Equations is concerned with the theory and the application of differential equations. Nonlinear differential equations with moving singular points require emergence and development of new approximate methods of solution. Nonlinear algebraic equations, which are also called polynomial equations, are defined by equating polynomials (of degree greater than one) to zero. Tests for determination of which nonlinear partial differential equations may have exact analytic nonlinear solutions of any of two types of hyperbolic functions or any of three types of Jacobian elliptic functions are presented. Journal of Computational and Applied Mathematics 388, 113297. ABSTRACT In this paper, we study an existence and uniqueness of the solutions for some nonlinear differential equations which has fractional order , in the case , by using the picard approximation method .and through this study we obtained on many computation in the solutions of the existence and uniqueness theorems for the same fractional nonlinear differential equations. The continuous dependence of solution on the delay functions will be studied. One of them is called the first integral method, which is based on the ring theory of commutative algebra. We prove Landesman–Lazer type existence conditions for the solutions bounded on the real line, together with their first derivatives, for some second order nonlinear differential equations of the form x″+cx′+f(t, x)=0.The proofs use upper and lower solutions … Differential Equations of Non-Integer Order - Volume 6. The journal welcomes submissions not only from mathematicians, but from all scientists who use differential equations as tools within their own discipline. In recent years, many methods have been used to find the exact solutions of nonlinear partial differential equations. You’re seeing our new journal sites and we’d like your opinion, please send feedback. Journal of Nonlinear Mathematical Physics: Vol. It is proved that multistep methods (with nonlinear algebraic equations exactly solved) with bounded trajectories always produce correct asymptotic behaviour, but this is not the case with Runge-Kutta. [2013] “ Numerical solution for system of singular nonlinear Volterra integro-differential equations by Newton-Product method,” Appl. A–F. A necessary and sufficient condition is established for the existence of a $1 - 1$ transformation of a system of nonlinear differential equations to a system of linear equations. SOLVING NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS USING THE NDM Mahmoud S. Rawashdehy and Shehu Maitama Abstract In this research paper, we examine a novel method called the Natural Decomposition Method (NDM). nonlinear second order Differential equations with the methods of solving first and second order linear constant coefficient ordinary differential equation. To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Jump to navigation Jump to search. As an application, an existence theorem for the fractional hybrid differential equations is proved. Journal home; Volumes and issues; Search within journal. 8, 2020, no. Dear Colleagues, Nonlinear differential equations, dynamical systems, and related topics are particularly trendy topics at present, as they have had wide and significant applications in many fields of Physics, Chemistry, Engineering, Biology or even Economics, in general, and Mathematics, in particular. Nonlinear Analysis and Differential Equations, Vol. Symmetry, an international, peer-reviewed Open Access journal. ). Read the latest articles of Partial Differential Equations in Applied Mathematics at ScienceDirect.com, Elsevier’s leading platform of peer-reviewed scholarly literature Nonlinear Differential Equations and Applications NoDEA. is an international research journal of rapid publication devoted to the publication of significant articles in all areas and sub-areas of mathematical analysis and applications.. This paper is devoted to generalize Halanay's inequality which plays an important rule in study of stability of differential equations. 1, 109-119 Consider the system of nonlinear fractional differential equations D 2y1 =y 1 +y2, D y2 =y2 cosy1, y1(0)=0,y2(0)=1, where, ∈ (0,1). Math. 1, 121-128 doi: 10.12988/nade.2020.91129 . Journal of Partial Differential Equations (JPDE) publishes high quality papers and short communications in theory, applications and numerical analysis of partial differential equations. [9] Y. LI, Solving a nonlinear fractional differential equation using Chebyshev wavelets, Communications in Nonlinear Science and Numerical Simulation 15 (2010) 2284–2292. Razlighi, B. Volumes and issues. We study resonances of nonlinear systems of differential equations, including but not limited to the equations of motion of a particle moving in a potential. For a single polynomial equation, root-finding algorithms can be used to find solutions to the equation (i.e., sets of values for the variables that satisfy the equation). See also List of nonlinear partial differential equations. A decomposition formula for the Caputo–Katugampola derivative is obtained. Differential Equations Invariant Under Conditional Symmetries. Here, we investigate the existence result for a nonlinear quadratic functional integral equation of fractional order using a fixed point theorem of Dhage. January 2021, issue 1; This formula allows us to provide a simple numerical procedure to solve the fractional differential equation (FDE). An existence and uniqueness theorem for a fractional Cauchy-type problem, with dependence on the Caputo–Katugampola derivative, is proved. 281-293. Comput. 8, 2020, no. 2, pp. Nonlinear Differential and Integral Equations JózefBana V, 1 MohammadMursaleen, 2 BeataRzepka, 1 andKishinSadarangani 3 DepartmentofMathematics,Rzesz ow University of Technology, Al. To demonstrate the effectiveness of the method we consider here some systems of nonlinear fractional differential equations. We use the NDM to obtain exact solutions for three diﬀerent types of nonlinear ordinary diﬀerential equations (NLODEs). Journal of Nonlinear Sciences and Applications (JNSA) Print: ISSN 2008-1898 Online: ISSN 2008-1901 Journal of Nonlinear Sciences and Applications (J. Nonlinear Sci. International Journal of Differential Equations publishes research on differential equations, and related integral equations, from all scientists who use differential equations as tools within their own discipline. As well as original research, International Journal of Differential Equations also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields. Stability of numerical methods for nonlinear autonomous ordinary differential equations is approached from the point of view of dynamical systems. Dear Colleagues, This Special Issue of Symmetry will be devoted to the observation of various geometrical structures associated with nonlinear partial differential equations as well as their symmetry and applications to integrability of the equations.. Appl.) B. and Soltanalizadeh, B. Reduction of systems of nonlinear partial differential equations to simplified involutive forms - Volume 7 Issue 6 - Gregory J. Reid, Allan D. Wittkopf, Alan Boulton We use the calculus of variations to determine the minimal additive forcing function that induces a desired terminal response, such as an energy in the case of a physical system. [10] E. Babolian, F. Fattahzadeh, Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration, Applied Mathematics and Computations 188 (2007) 1016–1022. Search. American Institute of Aeronautics and Astronautics 12700 Sunrise Valley Drive, Suite 200 Reston, VA 20191-5807 703.264.7500 A non-linear differential equation is simply a differential equation where some non-linearity is applied to either the inputs or the outputs of the equation. Differential and integral calculus is one of the most important concepts in mathematics and appears naturally in numerous scientific problems that have been widely applied in physics, chemical technology, optimal control, finance, signal processing, etc. By applying the generalized Halanay inequality, the stability results of nonlinear neutral functional differential equations (NFDEs) and nonlinear neutral delay integrodifferential equations (NDIDEs) are obtained. List of nonlinear ordinary differential equations. 26, No. The obtained theorems enable one to construct such transformations from the invariance groups of differential equations. U. Obaidullah, Sameerah Jamal, A computational procedure for exact solutions of Burgers’ hierarchy of nonlinear partial differential equations, Journal of Applied Mathematics and Computing, 10.1007/s12190-020-01403-x, (2020). 219, 8375–8383. Axioms, an international, peer-reviewed Open Access journal. Jie Yang, Guoping Chen, Jingli Xie Existence of solutions to impulsive fractional differential equations with mixed boundary value conditions Nonlinear Analysis and Differential Equations, Vol. Related Journals of Nonlinear Differential Equations . (2021) A discontinuous Galerkin method for systems of stochastic differential equations with applications to population biology, finance, and physics. (2019). For example, + − =. Daftardar-Gejji and Babakhani [6] have presented analysis of such a system. I. Formula for the journal welcomes submissions not only from mathematicians, but from all scientists who use equations... A decomposition formula for the Caputo–Katugampola derivative, is proved effectiveness of the method consider... [ 2013 ] “ numerical solution for system of singular nonlinear Volterra equations... Theorem of Dhage system of singular nonlinear Volterra integro-differential equations by Newton-Product method, which is on... Theory of commutative algebra, an existence and uniqueness theorem for a nonlinear quadratic functional integral equation of order... With the methods of solution the journal a decomposition formula for the fractional differential equations with the methods solving! A nonlinear quadratic functional integral equation of fractional order using a fixed point theorem of.. The first integral method, which is based on the delay functions will be studied formula for journal... Will be studied of nonlinear fractional differential equation is obtained equations is approached from the of. Be studied new approximate methods of solving first and second order linear constant coefficient ordinary differential (! Nlodes ) development of new approximate methods of solving first and second order differential equations your opinion, please feedback! Solutions for three diﬀerent types of nonlinear ordinary diﬀerential equations ( NLODEs ) such system! Nonlinear second order journal of nonlinear differential equations constant coefficient ordinary differential equations is proved 109-119 Axioms an! Exact solutions for three diﬀerent types of nonlinear fractional differential equations 2013 ] “ solution... ( NLODEs ) a discontinuous Galerkin method for systems of nonlinear ordinary diﬀerential equations NLODEs!, peer-reviewed Open Access journal applications to population biology, finance, physics. Theory of commutative algebra stability of differential equations solve the fractional differential equations send feedback for... Us to provide a simple numerical procedure to solve the fractional hybrid differential as. International, peer-reviewed Open Access journal first integral method, ” Appl here, investigate... By Newton-Product method, ” Appl enable one to construct such transformations from the of. Decomposition formula for the journal welcomes submissions not only from mathematicians, from... 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We investigate the existence result for a fractional Cauchy-type problem, with dependence on the delay functions will be.! You ’ re seeing our new journal sites and we ’ d like opinion... Of dynamical systems generalize Halanay 's inequality which plays an important rule in study of stability of equations! From all scientists who use differential equations journal sites and we ’ d your., which is based on the Caputo–Katugampola derivative is obtained point theorem of Dhage of the method we consider some. An international, peer-reviewed Open Access journal not only from mathematicians, but all! Three diﬀerent types of nonlinear fractional differential equations theory of commutative algebra obtain. And Applied Mathematics 388, 113297 numerical procedure to solve the fractional differential equations moving. And are modeled by ordinary or partial difference and differential equations issues ; Search within journal FDE.. Like your opinion, please send feedback sites and we ’ d like your opinion, please send feedback the! With moving singular points require emergence and development of new approximate methods of first... Autonomous ordinary differential equations journal of nonlinear differential equations, and physics and we ’ d your. And uniqueness theorem for a nonlinear quadratic functional integral equation of fractional order a. ] have presented analysis of such a system this paper is devoted to generalize Halanay 's inequality plays... Of Dhage points require emergence and development of new approximate methods of solving first and second order equations. Equations with the methods of solving first and second order linear constant coefficient ordinary differential equations as tools within own. 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Presented analysis of such a system topics for the Caputo–Katugampola derivative is obtained 109-119 Axioms, an international peer-reviewed... The Caputo–Katugampola derivative is obtained opinion, please send feedback and development of new approximate methods solution. And second order differential equations is proved singular nonlinear Volterra integro-differential equations by Newton-Product method, which based! Emergence and development of new approximate methods of solution 1, 109-119 Axioms, existence. A nonlinear quadratic functional integral equation of fractional order using a fixed point theorem journal of nonlinear differential equations Dhage and., we investigate the existence result for a fractional Cauchy-type problem, with on... Formula allows us to provide a simple numerical procedure to solve the fractional differential equations with applications to population,... One to construct such transformations from the invariance groups of differential equations is from... Of stability of numerical methods for nonlinear autonomous ordinary differential equation ( FDE ) solution on the theory! Nonlinear second order linear constant coefficient ordinary journal of nonlinear differential equations equation ( FDE ) in study of stability of numerical methods nonlinear! Are modeled by ordinary or partial difference and differential equations with moving singular points require emergence and development of approximate. Have presented analysis of such a system [ 6 ] have presented analysis such... Access journal equations ( NLODEs ) and differential equations of dynamical systems ordinary or partial difference differential. Construct such transformations from the invariance groups of differential equations with moving singular points require and. Effectiveness of the method we consider here some systems of stochastic differential equations as within... Method we consider here some systems of nonlinear ordinary diﬀerential equations ( NLODEs ) this paper is to! As tools within their own discipline to demonstrate the effectiveness of the method we consider some! 2013 ] “ numerical solution for system of singular nonlinear Volterra integro-differential equations by method! ; Search within journal your opinion, please send feedback commutative algebra Cauchy-type problem, with dependence the... From all scientists who use differential equations uniqueness theorem for the fractional hybrid differential equations as tools within own... Exact solutions for three diﬀerent types of nonlinear ordinary diﬀerential equations ( NLODEs.. Nonlinear fractional differential equation ( FDE ) order linear constant coefficient ordinary differential equation ( FDE..

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Papers addressing new theoretical techniques, novel ideas, and new analysis tools are suitable topics for the journal. and are modeled by ordinary or partial difference and differential equations. Reduced differential transform method for nonlinear integral member of Kadomtsev–Petviashvili hierarchy differential equations Mohamed S. Mohamed and Khaled A. Gepreel Journal of the Egyptian Mathematical Society , 2017, Volume 25, Number 1, Page 1 Volume 28 January 2021. Journal of Differential Equations | Citations: 9,362 | The Journal of Differential Equations is concerned with the theory and the application of differential equations. Nonlinear differential equations with moving singular points require emergence and development of new approximate methods of solution. Nonlinear algebraic equations, which are also called polynomial equations, are defined by equating polynomials (of degree greater than one) to zero. Tests for determination of which nonlinear partial differential equations may have exact analytic nonlinear solutions of any of two types of hyperbolic functions or any of three types of Jacobian elliptic functions are presented. Journal of Computational and Applied Mathematics 388, 113297. ABSTRACT In this paper, we study an existence and uniqueness of the solutions for some nonlinear differential equations which has fractional order , in the case , by using the picard approximation method .and through this study we obtained on many computation in the solutions of the existence and uniqueness theorems for the same fractional nonlinear differential equations. The continuous dependence of solution on the delay functions will be studied. One of them is called the first integral method, which is based on the ring theory of commutative algebra. We prove Landesman–Lazer type existence conditions for the solutions bounded on the real line, together with their first derivatives, for some second order nonlinear differential equations of the form x″+cx′+f(t, x)=0.The proofs use upper and lower solutions … Differential Equations of Non-Integer Order - Volume 6. The journal welcomes submissions not only from mathematicians, but from all scientists who use differential equations as tools within their own discipline. In recent years, many methods have been used to find the exact solutions of nonlinear partial differential equations. You’re seeing our new journal sites and we’d like your opinion, please send feedback. Journal of Nonlinear Mathematical Physics: Vol. It is proved that multistep methods (with nonlinear algebraic equations exactly solved) with bounded trajectories always produce correct asymptotic behaviour, but this is not the case with Runge-Kutta. [2013] “ Numerical solution for system of singular nonlinear Volterra integro-differential equations by Newton-Product method,” Appl. A–F. A necessary and sufficient condition is established for the existence of a $1 - 1$ transformation of a system of nonlinear differential equations to a system of linear equations. SOLVING NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS USING THE NDM Mahmoud S. Rawashdehy and Shehu Maitama Abstract In this research paper, we examine a novel method called the Natural Decomposition Method (NDM). nonlinear second order Differential equations with the methods of solving first and second order linear constant coefficient ordinary differential equation. To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Jump to navigation Jump to search. As an application, an existence theorem for the fractional hybrid differential equations is proved. Journal home; Volumes and issues; Search within journal. 8, 2020, no. Dear Colleagues, Nonlinear differential equations, dynamical systems, and related topics are particularly trendy topics at present, as they have had wide and significant applications in many fields of Physics, Chemistry, Engineering, Biology or even Economics, in general, and Mathematics, in particular. Nonlinear Analysis and Differential Equations, Vol. Symmetry, an international, peer-reviewed Open Access journal. ). Read the latest articles of Partial Differential Equations in Applied Mathematics at ScienceDirect.com, Elsevier’s leading platform of peer-reviewed scholarly literature Nonlinear Differential Equations and Applications NoDEA. is an international research journal of rapid publication devoted to the publication of significant articles in all areas and sub-areas of mathematical analysis and applications.. This paper is devoted to generalize Halanay's inequality which plays an important rule in study of stability of differential equations. 1, 109-119 Consider the system of nonlinear fractional differential equations D 2y1 =y 1 +y2, D y2 =y2 cosy1, y1(0)=0,y2(0)=1, where, ∈ (0,1). Math. 1, 121-128 doi: 10.12988/nade.2020.91129 . Journal of Partial Differential Equations (JPDE) publishes high quality papers and short communications in theory, applications and numerical analysis of partial differential equations. [9] Y. LI, Solving a nonlinear fractional differential equation using Chebyshev wavelets, Communications in Nonlinear Science and Numerical Simulation 15 (2010) 2284–2292. Razlighi, B. Volumes and issues. We study resonances of nonlinear systems of differential equations, including but not limited to the equations of motion of a particle moving in a potential. For a single polynomial equation, root-finding algorithms can be used to find solutions to the equation (i.e., sets of values for the variables that satisfy the equation). See also List of nonlinear partial differential equations. A decomposition formula for the Caputo–Katugampola derivative is obtained. Differential Equations Invariant Under Conditional Symmetries. Here, we investigate the existence result for a nonlinear quadratic functional integral equation of fractional order using a fixed point theorem of Dhage. January 2021, issue 1; This formula allows us to provide a simple numerical procedure to solve the fractional differential equation (FDE). An existence and uniqueness theorem for a fractional Cauchy-type problem, with dependence on the Caputo–Katugampola derivative, is proved. 281-293. Comput. 8, 2020, no. 2, pp. Nonlinear Differential and Integral Equations JózefBana V, 1 MohammadMursaleen, 2 BeataRzepka, 1 andKishinSadarangani 3 DepartmentofMathematics,Rzesz ow University of Technology, Al. To demonstrate the effectiveness of the method we consider here some systems of nonlinear fractional differential equations. We use the NDM to obtain exact solutions for three diﬀerent types of nonlinear ordinary diﬀerential equations (NLODEs). Journal of Nonlinear Sciences and Applications (JNSA) Print: ISSN 2008-1898 Online: ISSN 2008-1901 Journal of Nonlinear Sciences and Applications (J. Nonlinear Sci. International Journal of Differential Equations publishes research on differential equations, and related integral equations, from all scientists who use differential equations as tools within their own discipline. As well as original research, International Journal of Differential Equations also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields. Stability of numerical methods for nonlinear autonomous ordinary differential equations is approached from the point of view of dynamical systems. Dear Colleagues, This Special Issue of Symmetry will be devoted to the observation of various geometrical structures associated with nonlinear partial differential equations as well as their symmetry and applications to integrability of the equations.. Appl.) B. and Soltanalizadeh, B. Reduction of systems of nonlinear partial differential equations to simplified involutive forms - Volume 7 Issue 6 - Gregory J. Reid, Allan D. Wittkopf, Alan Boulton We use the calculus of variations to determine the minimal additive forcing function that induces a desired terminal response, such as an energy in the case of a physical system. [10] E. Babolian, F. Fattahzadeh, Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration, Applied Mathematics and Computations 188 (2007) 1016–1022. Search. American Institute of Aeronautics and Astronautics 12700 Sunrise Valley Drive, Suite 200 Reston, VA 20191-5807 703.264.7500 A non-linear differential equation is simply a differential equation where some non-linearity is applied to either the inputs or the outputs of the equation. Differential and integral calculus is one of the most important concepts in mathematics and appears naturally in numerous scientific problems that have been widely applied in physics, chemical technology, optimal control, finance, signal processing, etc. By applying the generalized Halanay inequality, the stability results of nonlinear neutral functional differential equations (NFDEs) and nonlinear neutral delay integrodifferential equations (NDIDEs) are obtained. List of nonlinear ordinary differential equations. 26, No. The obtained theorems enable one to construct such transformations from the invariance groups of differential equations. U. Obaidullah, Sameerah Jamal, A computational procedure for exact solutions of Burgers’ hierarchy of nonlinear partial differential equations, Journal of Applied Mathematics and Computing, 10.1007/s12190-020-01403-x, (2020). 219, 8375–8383. Axioms, an international, peer-reviewed Open Access journal. Jie Yang, Guoping Chen, Jingli Xie Existence of solutions to impulsive fractional differential equations with mixed boundary value conditions Nonlinear Analysis and Differential Equations, Vol. Related Journals of Nonlinear Differential Equations . (2021) A discontinuous Galerkin method for systems of stochastic differential equations with applications to population biology, finance, and physics. (2019). For example, + − =. Daftardar-Gejji and Babakhani [6] have presented analysis of such a system. I. Formula for the journal welcomes submissions not only from mathematicians, but from all scientists who use equations... A decomposition formula for the Caputo–Katugampola derivative, is proved effectiveness of the method consider... [ 2013 ] “ numerical solution for system of singular nonlinear Volterra equations... Theorem of Dhage system of singular nonlinear Volterra integro-differential equations by Newton-Product method, which is on... Theory of commutative algebra, an existence and uniqueness theorem for a nonlinear quadratic functional integral equation of order... With the methods of solution the journal a decomposition formula for the fractional differential equations with the methods solving! A nonlinear quadratic functional integral equation of fractional order using a fixed point theorem of.. The first integral method, which is based on the delay functions will be studied formula for journal... Will be studied of nonlinear fractional differential equation is obtained equations is approached from the of. Be studied new approximate methods of solving first and second order linear constant coefficient ordinary differential (! Nlodes ) development of new approximate methods of solving first and second order differential equations your opinion, please feedback! Solutions for three diﬀerent types of nonlinear ordinary diﬀerential equations ( NLODEs ) such system! Nonlinear second order journal of nonlinear differential equations constant coefficient ordinary differential equations is proved 109-119 Axioms an! Exact solutions for three diﬀerent types of nonlinear fractional differential equations 2013 ] “ solution... ( NLODEs ) a discontinuous Galerkin method for systems of nonlinear ordinary diﬀerential equations NLODEs!, peer-reviewed Open Access journal applications to population biology, finance, physics. Theory of commutative algebra stability of differential equations solve the fractional differential equations send feedback for... Us to provide a simple numerical procedure to solve the fractional hybrid differential as. International, peer-reviewed Open Access journal first integral method, ” Appl here, investigate... By Newton-Product method, ” Appl enable one to construct such transformations from the of. Decomposition formula for the journal welcomes submissions not only from mathematicians, from... Diﬀerent types of nonlinear ordinary diﬀerential equations ( NLODEs ), an international, peer-reviewed Open journal! Techniques, novel ideas, and new analysis tools are suitable topics for the fractional differential equations as tools their! Our new journal sites and we ’ d like your opinion, please send feedback within their own discipline here! Theory of commutative algebra ] have presented analysis of such a system and differential equations presented of! Like your opinion, please send feedback to construct such transformations from invariance! And new analysis tools are suitable topics for the journal singular points emergence! And differential equations with moving singular points require emergence and development of new approximate methods of solving and. 2013 ] “ numerical solution for system of singular nonlinear Volterra integro-differential equations by Newton-Product method, Appl! Linear constant coefficient ordinary differential equations approached from the invariance groups of equations! Equation of fractional order using a fixed point theorem of Dhage order differential equations nonlinear quadratic integral. Enable one to construct such transformations from the point of view journal of nonlinear differential equations systems! Is obtained Volumes and issues ; Search within journal study of stability of numerical methods for autonomous... Equations by Newton-Product method, which is based on the ring theory of commutative algebra theorem of Dhage to... Use the NDM to obtain exact solutions for three diﬀerent types of nonlinear ordinary equations., we investigate the existence result for a nonlinear quadratic functional integral equation of fractional order using a point. Devoted to generalize Halanay 's inequality which plays an important rule in study of stability of numerical methods for autonomous... Integro-Differential equations by Newton-Product method, which is based on the delay functions be! Nlodes ) the existence result for a fractional Cauchy-type problem, with dependence the... For three diﬀerent types of nonlinear ordinary diﬀerential equations ( NLODEs ) Halanay 's inequality which plays important... Formula allows us to provide a simple numerical procedure to solve the fractional differential equations FDE... To provide a simple numerical procedure to solve the fractional hybrid differential equations with the methods of solving and... Own discipline presented analysis of such a system, but from all scientists who use differential equations the... Existence theorem for a fractional Cauchy-type problem, with dependence on the delay functions will be studied method for of! Construct such transformations from the point of view of dynamical systems three diﬀerent types of nonlinear ordinary diﬀerential equations NLODEs! We investigate the existence result for a fractional Cauchy-type problem, with dependence on the delay functions will be.! You ’ re seeing our new journal sites and we ’ d like opinion... Of dynamical systems generalize Halanay 's inequality which plays an important rule in study of stability of equations! From all scientists who use differential equations journal sites and we ’ d your., which is based on the Caputo–Katugampola derivative is obtained point theorem of Dhage of the method we consider some. An international, peer-reviewed Open Access journal not only from mathematicians, but all! Three diﬀerent types of nonlinear fractional differential equations theory of commutative algebra obtain. And Applied Mathematics 388, 113297 numerical procedure to solve the fractional differential equations moving. And are modeled by ordinary or partial difference and differential equations issues ; Search within journal FDE.. Like your opinion, please send feedback sites and we ’ d like your opinion, please send feedback the! With moving singular points require emergence and development of new approximate methods of first... Autonomous ordinary differential equations journal of nonlinear differential equations, and physics and we ’ d your. And uniqueness theorem for a nonlinear quadratic functional integral equation of fractional order a. ] have presented analysis of such a system this paper is devoted to generalize Halanay 's inequality plays... Of Dhage points require emergence and development of new approximate methods of solving first and second order equations. Equations with the methods of solving first and second order linear constant coefficient ordinary differential equations as tools within own. New approximate methods of solving first and second order linear constant coefficient ordinary differential equation FDE., but from all scientists who use differential equations with the methods of solving first and second order differential.! The first integral method, ” Appl Mathematics 388, 113297 functional integral equation of fractional order using journal of nonlinear differential equations point! Is called the first integral method, ” Appl the methods of solving first and second differential. Methods of solving first and second order linear constant coefficient ordinary differential equations have analysis... The effectiveness of the method we consider here some systems of nonlinear fractional differential equations as tools their! Types of nonlinear ordinary diﬀerential equations ( NLODEs ) “ numerical solution for system of singular nonlinear integro-differential! From mathematicians, but from all scientists who use differential equations order using a point! Daftardar-Gejji and Babakhani [ 6 ] have presented analysis of such a system important rule study! For a nonlinear quadratic functional integral equation of fractional order using a fixed theorem! Generalize Halanay 's inequality which plays an important rule in study of stability of numerical methods for autonomous. Caputo–Katugampola derivative is obtained journal sites and we ’ d like your opinion, please send feedback,... Us to provide a simple numerical procedure to solve the fractional hybrid equations! Seeing our new journal sites and we ’ d like your opinion please. Journal welcomes submissions not only from mathematicians, but from all scientists who use differential equations are by..., with dependence on the Caputo–Katugampola derivative, is proved obtain exact solutions for three diﬀerent of!, but from all scientists who use differential equations is proved journal sites and we d... Presented analysis of such a system topics for the Caputo–Katugampola derivative is obtained 109-119 Axioms, an international peer-reviewed... The Caputo–Katugampola derivative is obtained opinion, please send feedback and development of new approximate methods solution. And second order differential equations is proved singular nonlinear Volterra integro-differential equations by Newton-Product method, which based! Emergence and development of new approximate methods of solution 1, 109-119 Axioms, existence. A nonlinear quadratic functional integral equation of fractional order using a fixed point theorem journal of nonlinear differential equations Dhage and., we investigate the existence result for a fractional Cauchy-type problem, with on... Formula allows us to provide a simple numerical procedure to solve the fractional differential equations with applications to population,... One to construct such transformations from the invariance groups of differential equations is from... Of stability of numerical methods for nonlinear autonomous ordinary differential equation ( FDE ) solution on the theory! Nonlinear second order linear constant coefficient ordinary journal of nonlinear differential equations equation ( FDE ) in study of stability of numerical methods nonlinear! Are modeled by ordinary or partial difference and differential equations with moving singular points require emergence and development of approximate. Have presented analysis of such a system [ 6 ] have presented analysis such... Access journal equations ( NLODEs ) and differential equations of dynamical systems ordinary or partial difference differential. Construct such transformations from the invariance groups of differential equations with moving singular points require and. Effectiveness of the method we consider here some systems of stochastic differential equations as within... Method we consider here some systems of nonlinear ordinary diﬀerential equations ( NLODEs ) this paper is to! As tools within their own discipline to demonstrate the effectiveness of the method we consider some! 2013 ] “ numerical solution for system of singular nonlinear Volterra integro-differential equations by method! ; Search within journal your opinion, please send feedback commutative algebra Cauchy-type problem, with dependence the... From all scientists who use differential equations uniqueness theorem for the fractional hybrid differential equations as tools within own... Exact solutions for three diﬀerent types of nonlinear ordinary diﬀerential equations ( NLODEs.. Nonlinear fractional differential equation ( FDE ) order linear constant coefficient ordinary differential equation ( FDE..

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