Impulsive Fractional Differential Equations With Retardation and Anticipation

Abstract

This chapter deals with the existence and uniqueness results for a class of impulsive initial and boundary value problems for implicit nonlinear fractional differential equations and k-Generalized ψ -Hilfer fractional derivative involving both retarded and advanced arguments. Our results are based on some necessary fixed point theorems. Suitable illustrative examples are provided for each section. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.