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