Fractional order generalized thermoelasticity in an infinite elastic solid with an instantaneous heat sources

Abstract

By applying the eigenvalue approach methodology, a general solution scheme has been developed for a one dimensional problem on a fractional order generalized thermoelasticity in a half space containing an instantaneous heat source. The solution has been achieved in closed form in the Laplace transform domain for the perturbed temperature field and other field variables. The analysis on the numerical results and graphs has been presented for the space-time domain.