Solution to time fractional couette flow
Solution to time fractional couette flow
Summary: In this study, the Couette flow of a second grade fluid 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 significant progress in treating a variety of problems in the theory of partial fractional differential equations by combining the theory of special functions and operational methods. In this article, it has been shown that the combined use of integral transforms and exponential operator methods provides a powerful tool to solve certain system of KdV. Constructive examples are also provided.
- ISIK UNIVERSITY Turkey
fractional partial differential equations, Time fractional Couette flow, Equations, time fractional Couette flow, Fractional derivatives and integrals, Flows in porous media; filtration; seepage, Laplace transforms, Riemann Liouville fractional derivative, Fractional partial differential equations, Fractional partial dierential equations;Riemann Liouville fractional deriva- tive;Time fractional Couette flow;Laplace transforms;Fourier transforms, Functional-differential equations with fractional derivatives, Fourier transforms
fractional partial differential equations, Time fractional Couette flow, Equations, time fractional Couette flow, Fractional derivatives and integrals, Flows in porous media; filtration; seepage, Laplace transforms, Riemann Liouville fractional derivative, Fractional partial differential equations, Fractional partial dierential equations;Riemann Liouville fractional deriva- tive;Time fractional Couette flow;Laplace transforms;Fourier transforms, Functional-differential equations with fractional derivatives, Fourier transforms
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