On a coupled system of fractional sum-difference equations with p-Laplacian operator

Advances in Difference Equations

Saowaluck Chasreechai¹  Pimchana Siricharuanun²  Thanin Sitthiwirattham³ 

[1] Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok;Department of Mathematics, Faculty of Science, Kasetsart University;Mathematics Department, Faculty of Science and Technology, Suan Dusit University;

关键词: p-Laplacian operator;    Existence and uniqueness;    Coupled system of fractional difference equations;    Boundary value problem;   

DOI  :  10.1186/s13662-020-02826-3

来源: DOAJ

【 摘 要 】

Abstract In this paper, we propose a nonlocal fractional sum-difference boundary value problem for a coupled system of fractional sum-difference equations with p-Laplacian operator. The problem contains both Riemann–Liouville and Caputo fractional difference with five fractional differences and four fractional sums. The existence and uniqueness result of the problem is studied by using the Banach fixed point theorem.

【 授权许可】

Unknown