Shifted Jacobi polynomials for nonlinear singular variable-order time fractional Emden–Fowler equation generated by derivative with non-singular kernel

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 spectral collocation method. presented transforms obtaining solution main problem into an algebraic system equations. Several examples are examined to show validity high accuracy