new exact traveling wave solutions for fractional order system ‎describing the second grade fluid through medium with heat ‎transfer‎

The aim of this paper is to determine the timedependent mhd fractionalized threedimensional flow of viscoelastic fluid in porous medium with heat transfer by traveling wave solution. the governing nonlinear partial differential equations are altered by utilizing the wave parameter ξ = lx + my + nz + ωt^β/γ(β+1) into ordinary differential equations. the exact solutions are attained by applying a traveling wave method for two different cases. here we discuss some precise cases, the solution of mhd newtonian fluid in porosity can be obtained by substituting α1 → 0 in general solution. the impact of important governing parameters on the movement of a fluid is examined as well as the comparison of newtonian and nonviscous fluids have been made by 2d and 3d graphical analysis.