Research Communication | Open Access
Volume 2020 | Communication ID 79 |

Ulam-Hyers Stability of Singular FBVPs in Terms of the Caputo Derivative

Amele TaÏeb
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
12 January 2020
27 January 2020
10 March 2020

Abstract: This communication deals with singular fractional boundary value problems with Caputo derivatives. We establish new existence and uniqueness result using the Banach contraction principle. We also prove an existence result using the Schauder fixed point theorem. Moreover, we generate the Ulam-Hyers stability and the generalized Ulam-Hyers stability of solutions for the considered problem. Some examples are presented to illustrate the applications of our main results.