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The problem of unsteady, incompressible, laminar electrically conducting flow part a continuously stretching surface is investigated based on a time depended length scale. Similarity conditions for the stretching surface flow velocity and induced magnetic field functions are denied. The governing partial differential equations are first transformed to ordinary ones using similarity transformation. The governing system of equation includes the continuity equation, magnetic continuity equation,doi:10.1515/teen-2018-0008 fatcat:ivvyqvwkvbdzncio54x36rehe4