Abstract
The generalized thermoelasticty equations based on memory-dependent derivative (MDD) is modeled so that some essential theories can be easily obtained. The exact solutions for different problems in Laplace transform domain are obtained. A numerical method is employed for the inversion of the Laplace transforms. The results are compared to those of the indicated theories of generalized thermoelasticity. The effects of the time-delay on thermoelasticity for different linear forms of Kernel functions are discussed.
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