Boundary Value Problems for Hybrid Caputo's Exponential Fractional Differential Equations

Abstract

In this work, we study the existence and uniqueness for a new class of impulsive fractional boundary value problems with nonlocal and boundary hybrid conditions. Our main theorem is demonstrated using fixed point theorems, including the Banach fixed point theorem and the Leray-Schauder alternative fixed point theorem.  Some examples are also constructed to demonstrate the application of the main results.