Abstract
Purpose This paper aims to develop a mathematical model featuring Brownian motion and thermophoresis. The idea of curved stretching subjected to time-dependent non-Newtonian (Sisko) fluid flow is introduced. Design/methodology/approach Shooting scheme is implemented to compute nonlinear systems. Findings Velocity profile of Sisko magnetonanofluid enhances for augmented values of curvature parameter. Originality/value To the best of the authors' knowledge, no such analysis has yet been reported.