An existence study for a multiple system with p−Laplacian involving φ−Caputo derivatives

Abstract

In this paper, we study the existence and uniqueness of solutions for a multiple system of fractional differential equations with nonlocal integro multi point boundary conditions by using the p-Laplacian operator and the ?-Caputo derivatives. The presented results are obtained by the two fixed point theorems of Banach and Krasnoselskii. An illustrative example is presented at the end to show the applicability of the obtained results. To the best of our knowledge, this is the first time where such problem is considered.