On a Coupled System of Fractional Differential Equations with Four Point Integral Boundary Conditions

Abstract

The study is on the existence of the solution for a coupled system of fractional differential equations with integral boundary conditions. The first result will address the existence and uniqueness of solutions for the proposed problem and it is based on the contraction mapping principle. Secondly, by using Leray–Schauder’s alternative we manage to prove the existence of solutions. Finally, the conclusion is confirmed and supported by examples.

Keywords

• fractional calculus
• Caputo derivative
• fractional differential equations