Hyers-Ulam stability and continuous dependence of a fixed point problem of a delay integro-differential equation
Abstract
Here, we study an initial value problem of a delay integro-differential equation. The existence of the unique solution will be proved in the spaces C1[0,T] and AC[0,T]. Hyers-Ulam stability of the problem will be introduced. The continuous dependence of the unique solution will be studied.
Copyright © 2025 Ahmed M. A. El-Sayed, Wagdy G. El-Sayed, Abdulrahman K. R. Al-Otaibi, Moamen O. Radwan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
A. M. A. El-Sayed, W. G. El-Sayed, A. K. R. Al-Otaibi, M. O. Radwan, Hyers-Ulam stability and continuous dependence of a fixed point problem of a delay integro-differential equation, Adv. Fixed Point Theory 15 (2025), 1. https://doi.org/10.28919/afpt/8989
BibTeX
@article{El-Sayed2025,
author = {El-Sayed, Ahmed M. A. and El-Sayed, Wagdy G. and Al-Otaibi, Abdulrahman K. R. and Radwan, Moamen O.},
title = {Hyers-Ulam stability and continuous dependence of a fixed point problem of a delay integro-differential equation},
journal = {Adv. Fixed Point Theory},
volume = {15},
year = {2025},
pages = {1},
doi = {10.28919/afpt/8989}
}