An Existence Study for a Multiplied System with <i>p</i>-Laplacian Involving <i>φ</i>-Hilfer Derivatives

Abstract

In this paper, we study the existence of solutions for a multiplied system of fractional differential equations with nonlocal integro multi-point boundary conditions by using the p-Laplacian operator and the φ-Hilfer derivatives. The presented results are obtained by the fixed point theorems of 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 a problem is considered.

Keywords

• existence of solutions
• multiplied system of fractional differential equations
• <i>p</i>-Laplacian operator
• <i>φ</i>-Hilfer derivatives
• Krasnoselskii’s fixed-point theorem