Existence Results for Nonlocal Impulsive Fractional Differential Equations

Abstract

This paper investigates the existence and uniqueness of solutions for impulsive fractional differential equations involving the Caputo fractional derivative with nonlocal conditions in an abstract Banach space. The main results are proved by using the Banach contraction principle theorem and the topological degree theory for condensing maps. Additionally, an example is provided to illustrate the application of the obtained results.