Volumes and issues. 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). I. The journal welcomes submissions not only from mathematicians, but from all scientists who use differential equations as tools within their own discipline. We use the NDM to obtain exact solutions for three diﬀerent types of nonlinear ordinary diﬀerential equations (NLODEs). Read the latest articles of Partial Differential Equations in Applied Mathematics at ScienceDirect.com, Elsevier’s leading platform of peer-reviewed scholarly literature January 2021, issue 1; 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.. 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. Journal of Nonlinear Mathematical Physics: Vol. An existence and uniqueness theorem for a fractional Cauchy-type problem, with dependence on the Caputo–Katugampola derivative, is proved. 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. You’re seeing our new journal sites and we’d like your opinion, please send feedback. Volume 28 January 2021. Journal of Computational and Applied Mathematics 388, 113297. The obtained theorems enable one to construct such transformations from the invariance groups of differential equations. 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. American Institute of Aeronautics and Astronautics 12700 Sunrise Valley Drive, Suite 200 Reston, VA 20191-5807 703.264.7500 281-293. Nonlinear Analysis and Differential Equations, Vol. Related Journals of Nonlinear Differential Equations . A–F. [2013] “ Numerical solution for system of singular nonlinear Volterra integro-differential equations by Newton-Product method,” Appl. 219, 8375–8383. See also List of nonlinear partial differential equations. (2021) A discontinuous Galerkin method for systems of stochastic differential equations with applications to population biology, finance, and physics. Math. 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. 2, pp. 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. This paper is devoted to generalize Halanay's inequality which plays an important rule in study of stability of differential equations. A decomposition formula for the Caputo–Katugampola derivative is obtained. Reduction of systems of nonlinear partial differential equations to simplified involutive forms - Volume 7 Issue 6 - Gregory J. Reid, Allan D. Wittkopf, Alan Boulton As an application, an existence theorem for the fractional hybrid differential equations is proved. and are modeled by ordinary or partial difference and differential equations. Journal of Partial Differential Equations (JPDE) publishes high quality papers and short communications in theory, applications and numerical analysis of partial differential equations. Axioms, an international, peer-reviewed Open Access journal. For example, + − =. Daftardar-Gejji and Babakhani [6] have presented analysis of such a system. In recent years, many methods have been used to find the exact solutions of nonlinear partial differential equations. Differential Equations of Non-Integer Order - Volume 6. And are modeled by ordinary or partial difference and differential equations quadratic functional integral equation of order. Or partial difference and differential equations as tools within their own discipline novel ideas, new! 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