Article
Discrete fractional calculus with the nabla operator
Electronic Journal of Qualitative Theory of Differential Equations
Document Type
Article
Publication Date
1-1-2009
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
Peer Reviewed
Yes
Disciplines
Citation Information
Ferhan M. Atici and Paul W. Eloe. "Discrete fractional calculus with the nabla operator" Electronic Journal of Qualitative Theory of Differential Equations Vol. Special Edition I (2009) Available at: http://works.bepress.com/paul_eloe/45/
Honoring the career of John Graef on the occasion of his sixty-seventh birthday
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