Abstract
The dynamic response of a finite rod is investigated in the context of time-fractional strain and heat conduction theory. In order to perform a qualitative analysis of the problem, a rod fixed at both ends and subjected to a moving heat source is analyzed using the Laplace transform and its inverse. To verify the correctness of the derivations, degenerated results are compared with those obtained from previous literature. Then, the influence of the fractional order parameter, acting time, and moving velocity on the physical quantities is studied, respectively. Numerical results show that fractional order parameters and acting time have a significant influence on the physical quantities.
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