This paper studies the heat and mass transfer of an incompressible viscous radiative generalized Oldroyd-B fluid past a moving vertical cylinder. The Caputo fractional derivative operator is introduced to describe the constitutive relationship of Oldroyd-B fluid. This partial differential system including convection terms is solved by implicit finite difference scheme of Crank-Nicoson type combined with L1-algorithm.The effects of different physical parameters on the velocity and temperature

more »

... illustrated and discussed in detail. The results indicate that these new physical parameters have dramatic influence on the velocity distribution, but little on the temperature and concentration distribution.