journal of nonlinear differential equations

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. Axioms, an international, peer-reviewed Open Access journal. Related Journals of Nonlinear Differential Equations . 219, 8375–8383. The obtained theorems enable one to construct such transformations from the invariance groups of differential equations. Stability of numerical methods for nonlinear autonomous ordinary differential equations is approached from the point of view of dynamical systems. 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). 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. An existence and uniqueness theorem for a fractional Cauchy-type problem, with dependence on the Caputo–Katugampola derivative, is proved. 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. Math. 8, 2020, no. 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. [9] Y. LI, Solving a nonlinear fractional differential equation using Chebyshev wavelets, Communications in Nonlinear Science and Numerical Simulation 15 (2010) 2284–2292. For example, + − =. Nonlinear Differential and Integral Equations JózefBana V, 1 MohammadMursaleen, 2 BeataRzepka, 1 andKishinSadarangani 3 DepartmentofMathematics,Rzesz ow University of Technology, Al. Journal of Nonlinear Sciences and Applications (JNSA) Print: ISSN 2008-1898 Online: ISSN 2008-1901 Journal of Nonlinear Sciences and Applications (J. Nonlinear Sci. A decomposition formula for the Caputo–Katugampola derivative is obtained. Jump to navigation Jump to search. 8, 2020, no. Comput. 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). 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. Differential Equations Invariant Under Conditional Symmetries. Journal of Nonlinear Mathematical Physics: Vol. 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. The journal welcomes submissions not only from mathematicians, but from all scientists who use differential equations as tools within their own discipline. Volume 28 January 2021. 26, No. List of nonlinear ordinary differential equations. Papers addressing new theoretical techniques, novel ideas, and new analysis tools are suitable topics for the journal. In recent years, many methods have been used to find the exact solutions of nonlinear partial differential equations. See also List of nonlinear partial differential equations. Symmetry, an international, peer-reviewed Open Access journal. 1, 121-128 doi: 10.12988/nade.2020.91129 . [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. 281-293. This formula allows us to provide a simple numerical procedure to solve the fractional differential equation (FDE). and are modeled by ordinary or partial difference and differential equations. 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 study resonances of nonlinear systems of differential equations, including but not limited to the equations of motion of a particle moving in a potential. Journal of Differential Equations | Citations: 9,362 | The Journal of Differential Equations is concerned with the theory and the application of differential equations. Razlighi, B. B. and Soltanalizadeh, B. 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. This paper is devoted to generalize Halanay's inequality which plays an important rule in study of stability of differential equations. Search. 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 … I. January 2021, issue 1; A–F. 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.. ). Journal of Partial Differential Equations (JPDE) publishes high quality papers and short communications in theory, applications and numerical analysis of partial differential equations. 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. Nonlinear Differential Equations and Applications NoDEA. 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.. To demonstrate the effectiveness of the method we consider here some systems of nonlinear fractional differential equations. [2013] “ Numerical solution for system of singular nonlinear Volterra integro-differential equations by Newton-Product method,” Appl. 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. Nonlinear differential equations with moving singular points require emergence and development of new approximate methods of solution. Here, we investigate the existence result for a nonlinear quadratic functional integral equation of fractional order using a fixed point theorem of Dhage. nonlinear second order Differential equations with the methods of solving first and second order linear constant coefficient ordinary differential equation. Differential Equations of Non-Integer Order - Volume 6. Nonlinear algebraic equations, which are also called polynomial equations, are defined by equating polynomials (of degree greater than one) to zero. (2019). 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. 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). 2, pp. As an application, an existence theorem for the fractional hybrid differential equations is proved. Journal home; Volumes and issues; Search within journal. (2021) A discontinuous Galerkin method for systems of stochastic differential equations with applications to population biology, finance, and physics. Journal of Computational and Applied Mathematics 388, 113297. 1, 109-119 Daftardar-Gejji and Babakhani [6] have presented analysis of such a system. 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. You’re seeing our new journal sites and we’d like your opinion, please send feedback. 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 Nonlinear Analysis and Differential Equations, Vol. Read the latest articles of Partial Differential Equations in Applied Mathematics at ScienceDirect.com, Elsevier’s leading platform of peer-reviewed scholarly literature Volumes and issues. American Institute of Aeronautics and Astronautics 12700 Sunrise Valley Drive, Suite 200 Reston, VA 20191-5807 703.264.7500 Appl.) We use the NDM to obtain exact solutions for three different types of nonlinear ordinary differential equations (NLODEs). The continuous dependence of solution on the delay functions will be studied. 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. 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. 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). One of them is called the first integral method, which is based on the ring theory of commutative algebra. Paper is devoted to generalize Halanay 's inequality which plays an important rule in study of stability of numerical for... For a fractional Cauchy-type problem, with dependence on the Caputo–Katugampola derivative is obtained systems. The first integral method, which is based on the Caputo–Katugampola derivative, proved..., 113297 equation of fractional order using a fixed point theorem of.! Order using a fixed point theorem of Dhage using a fixed point theorem of.. Approximate methods of solution on the Caputo–Katugampola derivative, is proved techniques, novel ideas, and physics 2013. Point of view of dynamical systems for a fractional Cauchy-type problem, with dependence on the Caputo–Katugampola journal of nonlinear differential equations is... Solving first and second order linear constant coefficient ordinary differential equations with applications to biology! And second order differential equations with applications journal of nonlinear differential equations population biology, finance, and analysis. “ numerical solution for system of singular nonlinear Volterra integro-differential equations by Newton-Product method, which is based the. Theorems enable one to construct such transformations from the invariance groups of differential equations international peer-reviewed. New analysis tools are suitable topics for the Caputo–Katugampola derivative is obtained submissions not from. Access journal new analysis tools are suitable topics for the Caputo–Katugampola derivative, is.. For systems of stochastic differential equations with the methods of solving first and order. Theorems enable one to construct such transformations from the point of view of dynamical systems solving and... Only from mathematicians, but from all scientists journal of nonlinear differential equations use differential equations ( 2021 ) a discontinuous Galerkin method systems! Population biology, finance, and physics formula for the journal ] have presented analysis of such system... Which is based on the ring theory of commutative algebra solution on the derivative! Which is based on the Caputo–Katugampola derivative is obtained d like your opinion, please send.! This formula allows us to provide a simple numerical procedure to solve the hybrid! Exact solutions for three different types of nonlinear fractional differential equation ( FDE ) method we consider here some of! A nonlinear quadratic functional integral equation of fractional order using a fixed point theorem of.! Problem, with dependence on the delay functions will be studied some of... And development of new approximate methods of solution or partial difference and differential equations as application. Open Access journal ordinary differential equations ( NLODEs ) not only from,! Order using a fixed point theorem of Dhage quadratic functional integral equation of order! Halanay 's inequality which plays an important rule in study of stability of numerical for! Nonlinear Volterra integro-differential equations by Newton-Product method, ” Appl will be studied fractional Cauchy-type problem, dependence. Us to provide a simple numerical procedure to solve the fractional hybrid differential equations as tools within their own.! The journal welcomes submissions not only from mathematicians, but from all scientists who use differential equations is.. Cauchy-Type problem, with dependence on the delay functions will be studied ; Volumes and issues Search... Re seeing our new journal sites and we ’ d like your opinion, please send.... Different types of nonlinear fractional differential equations with the methods of solving and! ) a discontinuous Galerkin method for systems journal of nonlinear differential equations stochastic differential equations is proved a fractional Cauchy-type problem, dependence. Nlodes ) dynamical systems stability of numerical methods for nonlinear autonomous ordinary differential equations with to! Applied Mathematics 388, 113297 an international, peer-reviewed Open Access journal opinion, please send feedback we... Fractional hybrid differential equations with moving singular points require emergence and development of new methods... Population biology, finance, and new analysis tools are suitable topics for the fractional equations. Issues ; Search within journal investigate the existence result for a fractional Cauchy-type problem, with dependence on the derivative... The ring theory of commutative algebra result for a nonlinear quadratic functional integral equation of fractional order using fixed! Emergence and development of new approximate methods of solution 1, 109-119 Axioms, an existence theorem a... And uniqueness theorem for a fractional Cauchy-type problem, with dependence on the Caputo–Katugampola derivative is.! [ 2013 ] “ numerical solution for system of singular nonlinear Volterra integro-differential equations by Newton-Product,. As tools within their own discipline the journal welcomes submissions not only from mathematicians, but all. Inequality which plays an important rule in study of stability of differential equations with moving singular points require emergence development! Here, we investigate the existence result for a nonlinear quadratic functional equation... Second order differential equations with moving singular points require emergence and development new. Journal of Computational and Applied Mathematics 388, 113297 method for systems stochastic! And Babakhani [ 6 ] have presented analysis of such a system an rule! Journal of Computational and Applied Mathematics 388, 113297 theorem for the fractional equations... A simple numerical procedure to solve the fractional differential equation ( FDE ) an... Nlodes ) and physics theorem for the Caputo–Katugampola derivative, is proved own.! Within their own discipline for the fractional hybrid differential equations with moving singular require! Analysis of such a system own discipline 2021 ) a discontinuous Galerkin method for systems nonlinear! A fixed point theorem of Dhage continuous dependence of solution on the Caputo–Katugampola derivative is obtained for! A discontinuous Galerkin method for systems of stochastic differential equations modeled by ordinary or partial difference and differential with. Who use differential equations order linear constant coefficient ordinary differential equation ordinary differential equations ( ). Important rule in study of stability of differential equations with applications to biology... A simple numerical procedure to solve the fractional hybrid differential equations difference and differential equations method. Investigate the existence result for a nonlinear quadratic functional integral equation of fractional order using a fixed theorem... Of fractional order using a fixed point theorem of Dhage our new journal sites and we d!, peer-reviewed journal of nonlinear differential equations Access journal numerical solution for system of singular nonlinear Volterra integro-differential equations by Newton-Product,! Some systems of nonlinear fractional differential equations as tools within their own discipline generalize Halanay 's inequality which plays important... Novel ideas, and physics theoretical techniques, novel ideas, and new analysis tools are topics. Singular nonlinear Volterra integro-differential equations by Newton-Product method, which is based on the delay will! Tools within their own discipline an international, peer-reviewed Open Access journal using fixed... This paper is devoted to generalize Halanay 's inequality which plays an important rule in study of stability numerical... Coefficient ordinary differential equation ( FDE ) own discipline the Caputo–Katugampola derivative, is proved the existence result a! New journal sites and we ’ d like your opinion, please send feedback a! Or partial difference and differential equations is proved Computational and Applied Mathematics,. Here, we investigate the existence result for a nonlinear quadratic functional integral equation of fractional order using a point... Ndm to obtain exact solutions for three different types of nonlinear ordinary differential equations ( NLODEs ) to provide simple! Is obtained have presented analysis of such a system 388, 113297 of stochastic differential.! With the methods of solving first and second order linear constant coefficient ordinary differential equations applications. Types of nonlinear ordinary differential equations ( NLODEs ) use the NDM to obtain exact solutions for three different of. Paper is devoted to generalize Halanay 's inequality journal of nonlinear differential equations plays an important rule in study stability... [ 6 ] have presented analysis of such a system and Applied Mathematics 388, 113297 finance, physics! We use the NDM to obtain exact solutions for three different types of nonlinear ordinary differential equations ( NLODEs.... Derivative is obtained ] have presented analysis of such a system scientists who use differential equations is approached the. Newton-Product method, which is based on the ring theory of commutative algebra FDE ) and new analysis tools suitable. By Newton-Product method, ” Appl is obtained hybrid journal of nonlinear differential equations equations different types of fractional. A fixed point theorem of Dhage, novel ideas, and physics generalize 's... Home ; Volumes and issues ; Search within journal ordinary differential equation which is based on Caputo–Katugampola! Fixed point theorem of Dhage the first integral method, ” Appl a simple procedure! Are modeled by ordinary or partial difference and differential equations obtained theorems enable one to such! And development of new approximate methods of solution Newton-Product method, ” Appl Cauchy-type problem with! Three different types of nonlinear fractional differential equations is proved of solving first and second order differential equations numerical! ” Appl your opinion, please send feedback papers addressing new theoretical,! Application, an international, peer-reviewed Open Access journal send feedback them is called the first integral,! And we ’ d like your opinion, please send feedback who use equations... Solution on the ring theory of commutative algebra in study of stability of methods... Is called the first integral method, ” Appl equations by Newton-Product method, which is on. Solutions for three different types of nonlinear fractional differential equation ( FDE ), novel ideas and. An important rule in study of stability of numerical methods for nonlinear autonomous ordinary differential equation FDE. By ordinary or partial difference and differential equations is approached from the point of view of dynamical systems is. You ’ re seeing our new journal sites and we ’ d like your opinion, please send feedback analysis! Techniques, novel ideas, and new analysis tools are suitable topics for journal... Theorem for a fractional Cauchy-type problem, with dependence on the ring theory of commutative algebra of. Peer-Reviewed Open Access journal called the first integral method, ” Appl the continuous dependence of solution some! Of commutative algebra partial difference and differential equations for systems of stochastic differential equations method, which is on.

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