A convergence analysis for a certain family of extended iterative methods: Part II. Applications
to fractional calculus

Abstract. We present some choices of the operators involved in fractional calculus where the operators satisfy the convergence conditions of some iterative methods given in Part I [4]. Moreover, we provide a corrected version of the generalized fractional Taylor's formula given in [14].

Key words and phrases. Fractional calculus, generalized fractional Taylor's formula.