Work

Analysis of Delay-Type Integro-Differential Systems Described by the Φ-Hilfer Fractional Derivative

Year: 2025

Type: article

Abstract: In this article, a novel type of equation, namely the Φ-Hilfer fractional-order integro-differential delay system (Φ-HFOIDDS), is proposed. Here, we study the existence and Hyers–Ulam–Mittag–Leffler (H-U-M-L) stability of the aforementioned equation which are obtained by using the multivariate Mittag–Leffler function, Banach contraction principle, and Picard operator method as well as generalized Gronwall inequality. Finally, we conclude this paper by constructing a suitable example to illustrate the applicability of the principal outcomes.

Source: Axioms

DOI: 10.3390/axioms14080629

Authors: Ravichandran Vivek, Waleed Mohammed Abdelfattah, Elsayed Mohamed Elsayed

Institutions: Zagazig University, University of Business and Technology, Mansoura University, King Abdulaziz University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4413213574

FWCI: 3.739

Cites: 28

Cited by: 2

Related to: 10