On a fully coupled system of nonlinear multi-term fractional differential equations with integral-multipoint boundary conditions

Abstract

We introduce and study a new class of fully coupled integral-multipoint boundary value problems for a system of nonlinear multi-term fractional differential equations. The existence criterion for solutions to the given problem is obtained via Leray-Schauder’s alternative, while the uniqueness of its solutions is accomplished by utilizing Banach’s fixed point theorem. We
also discuss the Ulam–Hyers stability for the problem at hand. Examples are included to illustrate the main results. Some new results appearing as special cases of the present results are also indicated.