A class of the cyclic anti-periodic and nonlocal boundary value problem to the self-adjoint tripled fractional Langevin differential systems

Abstract

This paper aims to study a class of the cyclic anti-periodic and nonlocal boundary value problem to the self-adjoint tripled fractional Langevin differential systems. Moreover, some sufficient conditions for the existence and uniqueness of solutions to the problem have been presented. Furthemore, the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of the problem have been acquired. Our main results enrich and expand some previous results. And some examples are given to validate our main results.