Abstract
The present article deals with a new mathematical model of a thermoelastic semiconducting solid sphere based on the Green-Naghdi theories (type-I, type-II, and type-III) to study the photothermal interaction. The fractional-order strain consideration has been applied. The bounding surface of the sphere has been thermally loaded by ramp-type heating. Laplace's transform has been carried out, and its inversions have been computed numerically using the Tzou method. The numerical results have been presented in figures with various values of the fractional order and ramp-time heat parameters. The fractional-order and ramp-time heat parameters significantly affect all the studied functions. The ramp-time heat parameter could be used to tune the thermomechanical energy among the interaction of the thermoelastic body due to thermal loading.