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Some Exact Solutions of Generalized Jeffrey Fluid Using N-Transform

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Document pages: 11 pages

Abstract: In thispaper, we presents some new exact solutions corresponding to three unsteadyflow problems of a generalized Jeffrey fluid produced by a flat plate betweentwo side walls perpendicular to the plate. The fractional calculus approach isused in the governing equations. The exact solutions are established by meansof the Fourier sine transform and N-transform. The series solutions of velocityfield and associated shear stress in terms of Fox H-function, satisfying allimposed initial and boundary conditions, have been obtained. The similarsolutions for ordinary Jeffrey fluid, performing the same motion, appear as limitingcase of the solutions are also obtained. Also, the obtained results are analyzedgraphically through various pertinent parameters.

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