ON OSCILLATORY MOTION OF
A GENERALIZED MHD OLDROYD-B FLUID
Amir Khan1, Gul Zaman1 1Department of Mathematics
University of Malakand
Dir(Lower), Khyber Pakhtunkhwa, PAKISTAN 2Department of Mathematics and Statistics
University of Swat
Khyber Pakhtunkhwa, PAKISTAN
Abstract. We present an analysis for the flow of an incompressible generalized magnetohydrodynamic (MHD) Oldroyd-B fluid with constant pressure gradient. Fractional derivative is used in the governing equation. Exact analytic solutions are obtained for the velocity field and shear stress in series form in terms of Fox H-functions by means of the Fourier sine transform and discrete Laplace transform. All the imposed initial and boundary conditions are satisfied by the obtained solutions.
AMS Subject classification: 76A05, 76A10
Keywords and phrases: generalized Oldroyd-B fluid, fractional derivatives, exact solutions, Fox H-functions, discrete Laplace transform
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