Existence of Solutions for Fractional Differential Equations Involving Two Riemann-Liouville Fractional Orders

Abstract

In this work, we study existence and uniqueness of solutions for multi-point boundary value problem of nonlinear fractional differential equations with two fractional derivatives. By using the variety of fixed point theorems, such as Banach\u2019s fixed point theorem, Leray-Schauder\u2019s nonlinear alternative and Leray-Schauder\u2019s degree theory, the existence of solutions is obtained. At the end, some illustrative examples are discussed.