Combined Delta-Nabla Sum Operator in Discrete Fractional Calculus

Details Combined Delta-Nabla Sum Operator in Discrete Fractional Calculus Combined Delta-Nabla Sum Operator in Discrete Fractional Calculus

2010-09-16

arxiv.org/abs/1009.3883v1

Commun. Frac. Calc. 1 (2010) 41-47

Mathematics

Classical Analysis and ODEs

This is a preprint of a paper whose final form has appeared in Commun. Frac. Calc. 1 (2010) 41-47

Scientific paper

We introduce a more general discrete fractional operator, given by convex
linear combination of the delta and nabla fractional sums. Fundamental
properties of the new fractional operator are proved. As particular cases,
results on delta and nabla discrete fractional calculus are obtained.

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