In this article, we present the fuzzy Adomian decomposition method (ADM) and modified Laplace (MLDM) to obtain solutions of fractional Navier–Stokes equations in a tube under derivatives. We have looked at turbulent flow viscous fluid tube, where velocity field is function only one spatial coordinate, addition time being dependent variables. Furthermore, investigate Elzaki transform, (EDM) appl...

Keywords: Frobenius integrable decompositions Partial differential equations Differential polynomials Bäcklund transformations Ordinary differential equations Nonlinearity a b s t r a c t Frobenius integrable decompositions are presented for a kind of ninth-order partial differential equations of specific polynomial type. Two classes of such partial differential equations possessing Frobenius i...