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Effects of Non-integer Order Time Fractional Derivative on Coupled Heat and Mass Transfer of MHD Viscous Fluid over an Infinite Inclined Plane with Heat Absorption

Abstract

Influence of a non-integer order fractional derivative is studied on a MHD generalized viscous fluid model with double convection, caused due to simultaneous effects of heat and mass transfer induced by temperature and concentration gradients. The fluid is considered over an inclined plane moving exponentially accelerated with time dependent of heat and mass at the boundary. Additional effects of heat generation and chemical reaction are also considered. The idea of non-integer order Caputo time fractional derivative is used and exact solutions for temperature, concentration and velocity in dimensionless form are developed. At the end, the graphically illustration is presented and discussed in details for embedded parameters including fractional parameter of order .

Ilyas Khan, Mushtaq Ahmad, Nehad Ali Shah and M A Imran*

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