Abstract
This article contains a fractional analysis of the thin-film steady flow of magneto-hydrodynamic fluid with variable viscosity and thermal conductivity by permeable stretched surface. The obtained nonlinear coupled fractional differential equations are solved through fractional calculus and the homotopy perturbation method, and the validity of obtained solutions is confirmed by finding residual errors. The impact of various parameters on the velocity and temperature profiles is studied graphically in fractional space. Some key observations related to these effects are witnessed. It is observed that the temperature fractional parameter has a negligible effect on the temperature profile. Also, it is seen that the fluid fractional parameter has an inverse relation with velocity and temperature profiles. The investigation also discloses that radiation and magnetic parameters have direct association while Prandtl number has an inverse association with temperature.
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