Implementation of Atangana Baleanu Caputo (ABC) fractional time operator on heat and mass transfer phenomena of Walter's-B fluid

The aim of the present study is to investigate the exact solution of the velocity field with the combine effect of heat and mass transfer of incompressible Walter’s-B fluid through porous medium via Atangana Baleanu Caputo fractional operator. At time [Formula: see text] Walter’s-B fluid is at rest, After [Formula: see text] the plate start to stream with unidirectional velocity. The analytical expression for the velocity component, microrotational, mass concentration and temperature distribution are obtained by implementing the Laplace transform. The general solution is presented in term of integral transform. Exact result for concentration, temperature, velocity field, and shear stress are displayed graphically for various parameter such as fractional parameter [Formula: see text], Microrotational parameter [Formula: see text], Prandtl number [Formula: see text], Schmidt number [Formula: see text], Thermal Grashof number [Formula: see text] and mass Grashof number [Formula: see text].