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The first solution for the helical flows of generalized Maxwell fluid with longitudinal time dependent shear stresses on the boundary

Helical flows of generalized Maxwell fluid is researched between two infinite
 co-axial circular cylinders. The velocity field and the adequate shear
 stress corresponding to the flow of a Maxwell fluid with fractional
 derivative model, between two infinite coaxial cylinders, are determined by
 means of the Laplace and finite Hankel transforms. The first solutions that
 have been obtained, presented under integral and series form in terms of the
 generalized G- and R-functions, satisfy all imposed initial and boundary
 conditions. The similar solutions for ordinary Maxwell and Newtonian fluid
 can be also obtained as the limit of the solution of generalized Maxwell
 fluid.