Stokes' First Problem for a Thermoelectric Fluid with Fractional-Order Heat Transfer

In this work, the flow for thermoelectric fluid over a suddenly moving heated plane surface using the methodology of fractional calculus is examined. The resulting formulation is applied to Stokes' first problem subjected to an arbitrary heating which is taken as a function of time. Using Laplace transforms and direct approach, the exact solutions are obtained in Laplace domain by a simple method. Numerical results are computed for two cases and represented graphically. Some comparative diagrams concerning the temperature and velocity component profiles are presented.