Abstract
The study focuses on thermoelastic behavior of the time-fractional heat conduction equation in a thick hollow cylinder by quasi-static approach. The utilization of the Caputo fractional derivative has been employed. The upper and lower surfaces of the cylinder have been assigned arbitrary temperature values, while the boundaries of the cylinder remain at a constant temperature of zero. The integral transform technique has been utilized to solve the conduction equation. A mathematical model has been prepared for Copper material. The fractional-order thermoelasticity for distinct fractional values of time variable has been discussed and the results are presented graphically.
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