Sum and Difference Compositions in Discrete Fractional Calculus

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DOI:

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

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.

Keywords

Discrete Fractional Calculus , Fractional Sum , Fractional Difference , Composition Rule , Fractional Initial Value Problem
  • Pages: 153–184
  • Date Published: 2011-10-01
  • Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal

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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.

Issue

Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal

Section

Articles