APPLICATION OF PEROV FIXED POINT ON MODIFIED ABC COUPLED MODEL OF IMPULSIVE EQUATIONS IN HIGH-FRACTIONAL ORDER

Mohammed Almalahi, Hicham Saber (), Abdelkader Moumen (), Ekram E. Ali (), Khaled Aldwoah, Mohammed Hassan () and Ahmed Himadan Ahmed ()
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Mohammed Almalahi: Department of Mathematics, Hajjah University, Hajjah, Yemen2Department of Artificial Intelligence, College of Computer and Information Technology, Al-Razi University, Sana ’a 72738, Yemen
Hicham Saber: Department of Mathematics, College of Science, University of Ha ’il, Ha’il 55473, Saudi Arabia
Abdelkader Moumen: Department of Mathematics, College of Science, University of Ha ’il, Ha’il 55473, Saudi Arabia
Ekram E. Ali: Department of Mathematics, College of Science, University of Ha ’il, Ha’il 55473, Saudi Arabia
Khaled Aldwoah: Department of Mathematics, Faculty of Science, Islamic University of Madinah, Saudi Arabia
Mohammed Hassan: Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia
Ahmed Himadan Ahmed: Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia

FRACTALS (fractals), 2025, vol. 33, issue 04, 1-21

Abstract: This study investigates a coupled model of high-order fractional differential equations (FDEs) using a modified Atangana–Baleanu–Caputo (mABC) operator, incorporating impulsive effects and a novel class of initial value conditions. We establish existence and data dependence theorems for the modified ABC fractional coupled model through Perov’s fixed point theorem. Our approach enhances the modeling of engineering challenges across various fields, including mechanical, electrical, civil, and aerospace engineering. A numerical example is provided to demonstrate the robustness of our findings.

Keywords: mABC Fractional Operator; Coupled Impulsive Model; Existence and Data Dependence; Perov Fixed Point (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25400985

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