Fractional Thermoelasticity Problem of infinite Solid Disk - boundary condition value problem

Abstract

The two-dimensional problem for an infinite solid disk is examined in this paper within the framework of the Fractional Thermoelasticity Problem of an Infinite Solid Disk and the boundary condition value problem. It uses the Caputo fractional derivative of order in the heat conduction equation. It is assumed that the cylinder's curved surface is in contact with a rigid surface and is constantly being heated. The issue is resolved using the Laplace transform, Fourier, transform, and Hankel transform and its inverses. The distributions of temperature, displacement, and stress are computed numerically, and visually shown, and the findings are thoroughly analyzed.