On the Generalized Mass Transfer with a Chemical Reaction: Fractional Derivative Model

Document Type : Research Paper

Authors

1 Shahrekord University, P.O.Box 115, Shahrekord, Iran

2 Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, P.O.Box 115, Shahrekord, Iran

Abstract

In this article using the inverse Laplace transform, we show analytical solutions for the generalized mass transfers with (and without) a chemical reaction. These transfers have been expressed as the Couette flow with the fractional derivative of the Caputo sense. Also, using the Hankel contour for the Bromwich's integral, the solutions are given in terms of the generalized Airy functions.

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