Sum and Difference Compositions in Discrete Fractional Calculus

Authors

  • Michael Holm University of Nebraska-Lincoln, USA

DOI:

https://doi.org/10.4067/S0719-06462011000300009

Keywords:

Discrete Fractional Calculus, Fractional Sum, Fractional Difference, Composition Rule, Fractional Initial Value Problem

Abstract

We introduce fractional sum and difference operators, study their behavior and develop a complete theory governing their compositions. This theory is then applied to solve a general, fractional initial value problem.

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Published

2011-10-01

How to Cite

[1]
M. Holm, “Sum and Difference Compositions in Discrete Fractional Calculus”, CUBO, vol. 13, no. 3, pp. 153–184, Oct. 2011.

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