Analysis of fuzzified boundary value problems for MHD Couette and Poiseuille flow

Abstract In an uncertain atmosphere, the magnetohydrodynamics (MHD) flow in three principal flows of the third grade fluid across two parallel plates is presented. Fuzzy differential equations are constructed by manipulating dimensionless differential equations. The prime purpose of the current article is to use a semi-analytical approach fuzzy-based Adomian decomposition method to achieve numerical results for nonlinear FDEs with fuzzy boundary conditions. Triangular fuzzy numbers are used in fuzzy BCs with help of $$\alpha {\text{-cut}}$$ α -cut approach. This strategy is linked to the membership function. In a graphic and tabular depiction, the effect of $$\alpha$$ α and other constraints on fuzzy velocity profiles is explored. The current findings are in good agreement with their previous numerical and analytical results in a crisp environment.