A Study of Coupled Systems of <i>ψ</i>-Hilfer Type Sequential Fractional Differential Equations with Integro-Multipoint Boundary Conditions

Abstract

In this paper, the existence and uniqueness of solutions for a coupled system of ψ-Hilfer type sequential fractional differential equations supplemented with nonlocal integro-multi-point boundary conditions is investigated. The presented results are obtained via the classical Banach and Krasnosel’skiĭ’s fixed point theorems and the Leray–Schauder alternative. Examples are included to illustrate the effectiveness of the obtained results.

Keywords

• <i>ψ</i>-Hilfer fractional derivative
• Riemann–Liouville fractional derivative
• Caputo fractional derivative
• system of fractional differential equations