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. To demonstrate the effectiveness of the method we consider here some systems of nonlinear fractional differential equations. 1, 109-119 Nonlinear differential equations with moving singular points require emergence and development of new approximate methods of solution. 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. 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). 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. ). This paper is devoted to generalize Halanay's inequality which plays an important rule in study of stability of differential 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). 281-293. Papers addressing new theoretical techniques, novel ideas, and new analysis tools are suitable topics for the journal. Jump to navigation Jump to search. Volumes and issues. Journal of Nonlinear Sciences and Applications (JNSA) Print: ISSN 2008-1898 Online: ISSN 2008-1901 Journal of Nonlinear Sciences and Applications (J. Nonlinear Sci. 219, 8375–8383. 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 The continuous dependence of solution on the delay functions will be studied. 1, 121-128 doi: 10.12988/nade.2020.91129 . Nonlinear algebraic equations, which are also called polynomial equations, are defined by equating polynomials (of degree greater than one) to zero. [9] Y. LI, Solving a nonlinear fractional differential equation using Chebyshev wavelets, Communications in Nonlinear Science and Numerical Simulation 15 (2010) 2284–2292. 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. Related Journals of Nonlinear Differential Equations . nonlinear second order Differential equations with the methods of solving first and second order linear constant coefficient ordinary differential equation. Journal home; Volumes and issues; Search within journal. 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–F. Appl.) Journal of Computational and Applied Mathematics 388, 113297. Stability of numerical methods for nonlinear autonomous ordinary differential equations is approached from the point of view of dynamical systems. 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. Daftardar-Gejji and Babakhani [6] have presented analysis of such a system. See also List of nonlinear partial differential equations. 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. January 2021, issue 1; A decomposition formula for the Caputo–Katugampola derivative is obtained. List of nonlinear ordinary differential equations. [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. 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). 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. 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. 2, pp. 8, 2020, no. Search. The obtained theorems enable one to construct such transformations from the invariance groups of differential equations. 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. Comput. We use the NDM to obtain exact solutions for three diﬀerent types of nonlinear ordinary diﬀerential equations (NLODEs). 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. I. You’re seeing our new journal sites and we’d like your opinion, please send feedback. 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. B. and Soltanalizadeh, B. 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. This formula allows us to provide a simple numerical procedure to solve the fractional differential equation (FDE). Symmetry, an international, peer-reviewed Open Access journal. For example, + − =. Nonlinear Analysis and Differential Equations, Vol. Nonlinear Differential Equations and Applications NoDEA. (2019). Nonlinear Differential and Integral Equations JózefBana V, 1 MohammadMursaleen, 2 BeataRzepka, 1 andKishinSadarangani 3 DepartmentofMathematics,Rzesz ow University of Technology, Al. Read the latest articles of Partial Differential Equations in Applied Mathematics at ScienceDirect.com, Elsevier’s leading platform of peer-reviewed scholarly literature One of them is called the first integral method, which is based on the ring theory of commutative algebra. As an application, an existence theorem for the fractional hybrid differential equations is proved. An existence and uniqueness theorem for a fractional Cauchy-type problem, with dependence on the Caputo–Katugampola derivative, is proved. 26, No. Razlighi, B. Here, we investigate the existence result for a nonlinear quadratic functional integral equation of fractional order using a fixed point theorem of Dhage. 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. 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 … Reduction of systems of nonlinear partial differential equations to simplified involutive forms - Volume 7 Issue 6 - Gregory J. Reid, Allan D. Wittkopf, Alan Boulton 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.. Journal of Differential Equations | Citations: 9,362 | The Journal of Differential Equations is concerned with the theory and the application of differential equations. Math. (2021) A discontinuous Galerkin method for systems of stochastic differential equations with applications to population biology, finance, and physics. Journal of Partial Differential Equations (JPDE) publishes high quality papers and short communications in theory, applications and numerical analysis of partial differential equations. 8, 2020, no. [2013] “ Numerical solution for system of singular nonlinear Volterra integro-differential equations by Newton-Product method,” Appl. Differential Equations Invariant Under Conditional Symmetries. 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). American Institute of Aeronautics and Astronautics 12700 Sunrise Valley Drive, Suite 200 Reston, VA 20191-5807 703.264.7500 Differential Equations of Non-Integer Order - Volume 6. Journal of Nonlinear Mathematical Physics: Vol. Axioms, an international, peer-reviewed Open Access journal. and are modeled by ordinary or partial difference and differential equations. Volume 28 January 2021. 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. 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