Non-Periodic Boundary Value Problem for a fractional differential equation of the Jerk type

Abstract

n this work, we consider a model of the Jerk problem of fractional order in the G-Caputo sense with non periodic conditions. Firstly, we establish the existence and uniqueness of the solution, which is achieved via the Schauder fixed point theorem and Banach contraction principle. Moreover, we explore the stability of the solution to our problem in Ulam-Hyers and Ulam-Hyers–Rassias sense. Finally, we provide a numerical example in order to illustrate the obtained results.