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.