A Coupled System of Nonlocal Fractional Differential Equations with Coupled and Uncoupled Slit-Strips-Type Integral Boundary Conditions

Abstract

The paper deals with with the existence and uniqueness of solutions for a coupled system of fractional differential equations with coupled and uncoupled slit-strips-type integral boundary conditions. The existence and uniqueness of solutions is established by using the Banach contraction principle, while the existence of solutions is obtained by using the Leray–Schauder alternative. The results are explained with the help of examples.