A comparative analysis of multiple fractional solutions of generalized Couette flow of couple stress fluid in a channel

Abstract This study provides the exact solutions of couple stress fluid (CSF) in a channel. The CSF is bounded by two plates which lower plate moving with constant velocity Uo and upper fixed. influence external pressure gradient considered on fluid. To transform classical model, we have introduced three approaches to fractional derivatives, (a) Caputo (b) Caputo–Fabrizio (CF), (c) Atangana–Baleanu (AB) definitions. Exact been obtained using Laplace finite Fourier sine transforms jointly. Furthermore, effect different derivatives compared, results are shown graphs. Moreover, parameters that affect motion discussed graphs computational software MATHCAD. most important outcome given comparison Caputo, CF, AB models model. From comparison, it can be noticed model discusses dynamics good memory as compared CF operators. reduced Newtonian limiting case also investigated absence pressure. Finally, Skin friction evaluated for plates, presented tabular form.