Impulsive boundary value problems for nonlinearimplicit Caputo-exponential type fractionaldifferential equations

摘要

This paper deals with existence and uniqueness of solutions to a class of impulsive boundary value problem for nonlinear implicit fractional differential equationsinvolving the Caputo-exponential fractional derivative. The existence results are basedon Schaefer’s fixed point theorem and the uniqueness result is established via Banach’scontraction principle. Two examples are given to illustrate the main results.