AUTHOR=Riaz Muhammad B. , Saeed Syed T. , Baleanu Dumitru , Ghalib Muhammad M. 

TITLE=Computational Results With Non-singular and Non-local Kernel Flow of Viscous Fluid in Vertical Permeable Medium With Variant Temperature

JOURNAL=Frontiers in Physics

VOLUME=Volume 8 - 2020

YEAR=2020

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.00275

DOI=10.3389/fphy.2020.00275

ISSN=2296-424X

ABSTRACT=Unsteady electrically conducting viscous fluid flow with transversal magnetic field in porous
medium over vertical wall with ramped temperature has studied with Atangana-Baleanu derivative.
Conjugate impact of heat and mass transfer with slip and non-slip effect are considerable.
Solutions of governing equations for temperature gradient, concentration gradient  and
velocity profile  are obtained with Laplace transformation. Inversion calculation of Laplace
transformation have been computed with Stehfest’s algorithm. Computational results have
been expressed graphically with the effect of various flow physical parameters. Comparative
graphical analysis with existing literature as well as Atangana-Baleanu derivative for temperature,
concentration and velocity field with slip and non-slip impact shows that the memory effects of
Atangana-Baleanu derivative are better than the results existing in literature.