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

Advances in Difference Equations

article

Siricharuanun, Pimchana¹  Chasreechai, Saowaluck²  Sitthiwirattham, Thanin³ 

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

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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】

CC BY