Abstract
In this chapter, two approximate analytical methods, i.e., the variational iteration method and homotopy perturbation method, are introduced to solve the time–space fractional derivative anomalous diffusion equations and the two-dimensional unsteady flow and heat transfer of power law non-Newtonian fluid over a nonisothermal and horizontally stretching surface with a time-dependent stretching velocity and modified Fourier's heat conduction law. Approximate analytical solutions are obtained and the effects of pertinent parameters on anomalous diffusion behavior, velocity, and temperature fields transport characteristics are analyzed and discussed.
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