Fractional Differential Equations With Non-Instantaneous Impulses

Abstract

The present chapter deals with some existence, uniqueness, and Ulam stability results for a class of initial and boundary value problems for nonlinear implicit fractional differential equations with non-instantaneous impulses and generalized Hilfer-type fractional derivative. The tools employed are some suitable fixed point theorems combined with the technique of measure of noncompactness. We provide illustrations to demonstrate the applicability of our results for each section. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.