Thermoelectric spherical shell with fractional order heat transfer

The model of fractional magneto-thermoelasticity is applied to one-dimensional problems of a thermoelectric spherical shell subjected to an arbitrary thermal loading of its external boundary in the presence of a uniform magnetic field. By means of the Laplace transform and numerical Laplace inversion, the problems are solved. The distributions of the considered temperature, stress and displacement, are represented graphically. The theories of coupled and generalized magneto-thermoelasticity follow as limited cases. Some comparisons are shown in the figures to estimate the effects of the fractional order and ramping parameters.