Document Type
Article
Publication Date
2009
Publication Source
Electronic Journal of Qualitative Theory of Differential Equations
Abstract
Properties of discrete fractional calculus in the sense of a backward difference are introduced and developed. Exponential laws and a product rule are developed and relations to the forward fractional calculus are explored. Properties of the Laplace transform for the nabla derivative on the time scale of integers are developed and a fractional finite difference equation is solved with a transform method. As a corollary, two new identities for the gamma function are exhibited.
Inclusive pages
No. 3, 12
ISBN/ISSN
1417-3875
Document Version
Published Version
Volume
Special Edition I
Peer Reviewed
yes
eCommons Citation
Atici, Ferhan M. and Eloe, Paul W., "Discrete fractional calculus with the nabla operator" (2009). Mathematics Faculty Publications. 105.
https://ecommons.udayton.edu/mth_fac_pub/105
Comments
Honoring the career of John Graef on the occasion of his sixty-seventh birthday
This document is made available in compliance with the publisher's policy on self-archiving or with the express permission of the publisher. Permission documentation is on file.