Next Article in Journal
An Effective Numerical Scheme for Fractional Integro-Differential Equation Systems Using Hermite Wavelets
Previous Article in Journal
Experimental Study on Damage–Seepage Coupling of Small Faults Under Mining-Induced Stress Paths Based on Fractal Grading Method
Previous Article in Special Issue
Convex Contractions in Suprametric Spaces with Applications to Fractional Discrete Neural Networks
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Fractal Fract
Volume 10
Issue 7
10.3390/fractalfract10070429
fractalfract-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Qualitative Analysis of a Class of Fractional Functional Differential Systems with Feedback Control

by
Kheria M. O. Msaik
1,*,
Ahmed M. A. El-Sayed
2,
Wagdy G. El-Sayed
2 and
Hanaa R. Ebead
2
1
Department of Mathematics, Faculty of Science, University of Zintan, Zintan, Libya
2
Department of Mathematics, Faculty of Science, Alexandria University, Alexandria 21521, Egypt
*
Author to whom correspondence should be addressed.
Fractal Fract. 2026, 10(7), 429; https://doi.org/10.3390/fractalfract10070429 (registering DOI)
Submission received: 3 April 2026 / Revised: 3 June 2026 / Accepted: 22 June 2026 / Published: 25 June 2026
(This article belongs to the Special Issue Recent Advances in Fixed Point Theory and Applications to Fractional Differential Equations)
Versions Notes

Abstract

In this paper, we investigate a class of fractional functional differential systems with feedback control, in which the fractional derivatives are interpreted in the Caputo sense. By applying Schauder’s fixed point theorem with the Arzelà–Ascoli compactness criterion, we derive existence results for the solutions. Furthermore, specific hypotheses are introduced to establish uniqueness, continuous dependence of the unique solution, and Hyers–Ulam stability of the considered problem. The applicability and relevance of the theoretical results are further demonstrated through several special cases and illustrative examples. The main contribution of this study is to provide a qualitative analysis of a coupled Caputo fractional functional system involving nonlocal integral conditions and feedback control.
Keywords: fractional functional differential systems; feedback control system; existence of solutions; uniqueness of solutions; Hyers–Ulam stability; continuous dependence. fractional functional differential systems; feedback control system; existence of solutions; uniqueness of solutions; Hyers–Ulam stability; continuous dependence.

Share and Cite

MDPI and ACS Style

Msaik, K.M.O.; El-Sayed, A.M.A.; El-Sayed, W.G.; Ebead, H.R. Qualitative Analysis of a Class of Fractional Functional Differential Systems with Feedback Control. Fractal Fract. 2026, 10, 429. https://doi.org/10.3390/fractalfract10070429

AMA Style

Msaik KMO, El-Sayed AMA, El-Sayed WG, Ebead HR. Qualitative Analysis of a Class of Fractional Functional Differential Systems with Feedback Control. Fractal and Fractional. 2026; 10(7):429. https://doi.org/10.3390/fractalfract10070429

Chicago/Turabian Style

Msaik, Kheria M. O., Ahmed M. A. El-Sayed, Wagdy G. El-Sayed, and Hanaa R. Ebead. 2026. "Qualitative Analysis of a Class of Fractional Functional Differential Systems with Feedback Control" Fractal and Fractional 10, no. 7: 429. https://doi.org/10.3390/fractalfract10070429

APA Style

Msaik, K. M. O., El-Sayed, A. M. A., El-Sayed, W. G., & Ebead, H. R. (2026). Qualitative Analysis of a Class of Fractional Functional Differential Systems with Feedback Control. Fractal and Fractional, 10(7), 429. https://doi.org/10.3390/fractalfract10070429

Article Metrics

Article metric data becomes available approximately 24 hours after publication online.
Back to TopTop