Main Article Content
In this paper, we deal with the existence of a unique solution and some Ulams type stability concepts for an initial value problem of a class of two-orders fractional di¤erential equations involving Caputos fractional derivative. We investigate two types of Ulam stability: Ulam-Hyers stability and Ulam-Hyers-Rassias stability for the considered problem of two fractional orders. We use the Banach xed point theorem and fractional calculus. Finally, we give an example to illustrate the results.
How to Cite
Atmania, R., & Bouzitouna, S. (2019). Existence and Ulam Stability Results for Two-orders Fractional Differential Equation. Acta Mathematica Universitatis Comenianae, 88(1), 1-12. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/588/641