Qualitative study of a fixed point for a feedback control problem of Caputo-via Riemann-Liouville fractional order differential equation
Abstract
In this research, we investigate the qualitative study of a fixed point for a feedback control problem of Caputo-Via Riemann-Liouville fractional order differential equation, in two classes L1(I) and C(I) in a bounded interval I = [0,T]. The main tool applied in this work is the technique Schauder fixed point Theorem. In both cases we present a sufficient conditions for a unique solution and the continuous dependence on some functions. Additionally, we delve into the study of Hyers-Ulam stability. Finally, some examples are provided to verify our investigation.
Copyright © 2024 Ahmed M. A. El-Sayed, Malak M. S. Ba-Ali, Eman M. A. Hamdallah. 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, M. M. S. Ba-Ali, E. M. A. Hamdallah, Qualitative study of a fixed point for a feedback control problem of Caputo-via Riemann-Liouville fractional order differential equation, Adv. Fixed Point Theory 14 (2024), 38. https://doi.org/10.28919/afpt/8670
BibTeX
@article{El-Sayed2024,
author = {El-Sayed, Ahmed M. A. and Ba-Ali, Malak M. S. and Hamdallah, Eman M. A.},
title = {Qualitative study of a fixed point for a feedback control problem of Caputo-via Riemann-Liouville fractional order differential equation},
journal = {Adv. Fixed Point Theory},
volume = {14},
year = {2024},
pages = {38},
doi = {10.28919/afpt/8670}
}