Fractional derivative formulae in the form of difference operators

Print ISSN: 2319-1023

Abstract

This paper presents interdisciplinary work between Fractional Calculus and Numerical Analysis. Authors established new formulae of Fractional derivative in the form of Forward and Backward Differences. Fractional derivatives of x n , cos x and General Class of polynomial Smn (x) with the help of newly defined formulae also obtained.

Keywords and Phrases

Forward Difference Operator, Backward Difference Operator, Fractional Derivative, Hypergeometric Function.

A.M.S. subject classification

26A33, 33C05, 65Q10.

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