Boundary value problems of hybrid fractional integro-differential systems involving the conformable fractional derivative

Abstract

In this paper, we study a boundary value problem for the hybrid fractional integro-differential system involving the conformable fractional derivative. We first discuss the existence of solutions using the Krasnoselskii fixed point theorem. The second result will be the existence and uniqueness of solution and we obtain it using the Banach fixed point theorem. Finally, we end our work with an example to illustrate our results.

Keywords

• integro-differential system
• conformable fractional derivative
• fixed point theorem
• existence and uniqueness