Hyers-Ulam stability and continuous dependence of a fixed point problem of a delay integro-differential equation
Ahmed M. A. El-Sayed, Wagdy G. El-Sayed, Abdulrahman K. R. Al-Otaibi, Moamen O. Radwan
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.
Full Text:
PDF
Published: 2025-01-03
How to Cite this Article:
Ahmed M. A. El-Sayed, Wagdy G. El-Sayed, Abdulrahman K. R. Al-Otaibi, Moamen 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), Article ID 1
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.
Advances in Fixed Point Theory
ISSN: 1927-6303
Editorial Office: [email protected]
Copyright ©2025 SCIK Publishing Corporation
Advances in Fixed Point Theory