Ulam type stability for conformable fractional differential equations

Abstract

In this paper, we present some new stability criteria in the sense of Ulam for the solutions of fractional differential equations involving the conformable fractional derivative. Our results are based on a fixed point alternative which is developed for generalized metric spaces. This study improves and extends the literature in this topic since there is no previous progress on the problem we consider. We also provide examples to illustrate our results in a separate section. © 2020, Springer-Verlag Italia S.r.l., part of Springer Nature.