@article{Dai2022, 
author = {Qun Dai and Shidong Liu},
title = {Stability of the mixed Caputo fractional integro-differential equation by means of weighted space method},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {2},
pages = {2498-2511},
keywords = {mixed Caputo fractional derivative, weighted space method, Ulam-Hyers stability, Ulam-Hyers-Rassias stability, semi-Ulam-Hyers-Rassias stability},
url = {https://www.sciopen.com/article/10.3934/math.2022140},
doi = {10.3934/math.2022140},
abstract = {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.}
}