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The time-fractional free convection flow of an incompressible viscous fluid   near a vertical plate with Newtonian heating and mass diffusion is   investigated in presence of first order chemical reaction. The dimensionless   temperature, concentration, and velocity fields, as well as the skin   friction and the rates of heat and mass transfer from the plate to the   fluid, are determined using the Laplace transform technique. Closed form   expressions are established in terms of Robotnov-Hartley and Wright   functions. The similar solutions for ordinary fluids are also determined.   Finally, the influence of fractional parameter on the temperature,   concentration and velocity fields is graphically underlined and discussed

Time-fractional free convection flow near a vertical plate with Newtonian heating and mass diffusion