Abstract

This paper presents an axisymmetric problem of two-dimensional finite hollow cylinder with the fractional order derivative of order occupying the space Convection boundary conditions are applied on the curved surface of cylinder and heat sources are generated as a linear function of temperature. The analytical solution for temperature, displacement, and thermal stresses are obtained applying finite Marchi-Zgrablich, finite Marchi-Fasulo, and Laplace transform technique. Some numerical results of temperature change and stress distribution are illustrated graphically and are shown in figures with the help of Mathematica software.

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