(searched for: doi:10.7546/ijba.2020.24.4.000634)
Published: 1 January 2022
Journal: Aims Mathematics
Aims Mathematics, Volume 7, pp 2498-2511; https://doi.org/10.3934/math.2022140
In this research work, we consider a class of nonlinear fractional integro-differential equations containing Caputo fractional derivative and integral derivative. We discuss the stabilities of Ulam-Hyers, Ulam-Hyers-Rassias, semi-Ulam-Hyers-Rassias for the nonlinear fractional integro-differential equations in terms of weighted space method and Banach fixed-point theorem. After the demonstration of our results, an example is given to illustrate the results we obtained.