SOLUTION TO TIME FRACTIONAL COUETTE FLOW

A. AGHILI

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Abstract

In this study, the Couette flow of a second grade uid is discussed in a porous layer when the bottom plate moves suddenly. The Laplace transform method is implemented to derive the analytical solution.The main object of this paper is to demonstrate how we can make signicant progress in treating a variety of problems in the theory of partial fractional dierential equations by combining theory of special functions and operational methods. In this article, it has been shown that the combined use of integral transforms and exponential operators methods provides a powerful tool to solve certain system of KdV. Constructive examples are also provided.

Keywords

Fractional partial dierential equations, Riemann Liouville fractional deriva- tive, Time fractional Couette flow, Laplace transforms, Fourier transforms