Work

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

Year: 2026

Type: article

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.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract10070429

Authors: Kheria M. O. Msaik, Ahmed M. A. El-Sayed, Wagdy G. El-Sayed, Hanaa R. Ebead

Institutions: Zintan University, Alexandria University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

OpenAlex ID: W7165871559

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