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

Abstract

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.

Keywords

• p-Laplacian operator
• Existence and uniqueness
• Coupled system of fractional difference equations
• Boundary value problem