Boundary value problems for hybrid Caputo’s exponential fractional diffrential equations

Abstract

Inthis paper, we investigate the existence and uniqueness for a new class of impulsive fractional boundary value problems with nonlocal and boundary hybrid conditions. Our main theorem regarding existence and uniqueness is established by applying fixed-point theorems, specifically the Banach fixed-point theorem and the Leray-Schauder alternative fixed-point theorem. Additionally, Two examples are included to show the applicability of our results.