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We investigate the boundary-layer flow and heat transfer of a magnetohydrodynamic viscous fluid over a nonlinear radially porous stretching sheet within a porous medium.The flow is generated due to a nonlinear stretching sheet and influenced by a continuous suction/blowing of the fluid through the porous sheet.The goveing momentum and thermal boundary layer equations are converted into ordinary differential equations by appropriate similarity transformations. The exact solution for the velocity and the temperature fields are derived in the form of an incomplete Gamma function.Also analytic solutions are found by the homotopy analysis method.The graphical results for velocity and temperature fields are presented and discussed.Further,the numerical values of the skin friction coefficient and the Nusselt number are calculated and discussed.