Fractional Differential Equations With Instantaneous Impulses

Abstract

The aim of this chapter is to prove some existence, uniqueness, and Ulam-Hyers-Rassias stability results for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and generalized Hilfer-type fractional derivative. We base our arguments on some relevant fixed point theorems combined with the technique of measure of noncompactness. Examples are included to show the applicability of our results for each section. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.