Fractional variable order differential equations with impulses: A study on the stability and existence properties

Fractional variable order differential equations with impulses: A study on the stability and existence properties

A Benkerrouche, S Etemad, MS Souid, S Rezapour… – AIMS Mathematics, 2023

In this paper, for the first time, we study the existence and uniqueness of solutions of a Caputo variable-order initial value problem (IVP) in the impulsive settings. Our existence results are proved by using two fixed point theorems. The Ulam-Hyers …