Existence of solutions for multi-point nonlinear differential system equations of fractional orders with integral boundary conditions

Abstract

In this work, we study existence and uniqueness of solutions for multi-point boundary value problemS of nonlinear fractional differential equations with two fractional derivatives. By using a variety of fixed point theorems, such as Banach's fixed point theorem, Leray-Schauder's nonlinear alternative and Leray-Schauder's degree theory, the existence of solutions is obtained. At the end, some illustrative examples are discussed.

Keywords

• riemann-liouville integral
• existence of solutions
• fixed point theorem