Abstract In this work, a nonlinear singular variable-order fractional Emden–Fowler equation involved with derivative non-singular kernel (in the Atangana–Baleanu–Caputo type) is introduced and computational method proposed for its numerical solution. The desired established upon shifted Jacobi polynomials their operational matrix of differentiation (which extracted in present study) together sp...

The objective of this paper is applying the well-known exact operational matrices (EOMs) idea for solving the Emden-Fowler equations, illustrating the superiority of EOMs over ordinary operational matrices (OOMs). Up to now, a few studies have been conducted on EOMs ; but the solved differential equations did not have high-degree nonlinearity and the reported results could not strongly show the...