The influence of time-fractional Maxwell’s equations based on Caputo fractional derivative on an electromagnetic solid cylinder under four different thermoelastic theorems

Eman AN Al-LehaibiMathematics Department, Jamoum University College, Umm Al-Qura University, Saudi Arabia, Hamdy M YoussefMechanical Engineering Department, College of Engineering and Architecture, Umm Al-Qura University, Saudi Arabia

Mathematics and Mechanics of Solids

Published online on July 02, 2025

Abstract

Mathematics and Mechanics of Solids, Ahead of Print.
This paper introduces a mathematical model of a thermoelastic and electromagnetic solid cylinder in the context of four different thermoelastic theorems: Green–Naghdi type I, type III, Lord–Shulman, and Moore–Gibson–Thompson. One of the main goals is to ...