Bibliographic Details
| Title: |
APPLICATION OF PEROV FIXED POINT ON MODIFIED ABC COUPLED MODEL OF IMPULSIVE EQUATIONS IN HIGH-FRACTIONAL ORDER. |
| Authors: |
ALMALAHI, MOHAMMED1,2 (AUTHOR) dralmalahi@gmail.com, SABER, HICHAM3 (AUTHOR) hi.saber@uoh.edu.sa, MOUMEN, ABDELKADER3 (AUTHOR) mo.abdelkader@uoh.edu.sa, ALI, EKRAM E.3 (AUTHOR) e.ahmad@uoh.edu.sa, ALDWOAH, KHALED4 (AUTHOR) aldwoah@iu.edu.sa, HASSAN, MOHAMMED5 (AUTHOR) m.salih@ut.edu.sa, AHMED, AHMED HIMADAN6 (AUTHOR) AO.alharbi@qu.edu.sa |
| Source: |
Fractals. Feb2025, p1. 21p. |
| Subject Terms: |
*FRACTIONAL differential equations, *AEROSPACE engineers, *AEROSPACE engineering, *ENGINEERING models, *DATA modeling |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Academic Search Complete |
