A transform method in discrete fractional calculus

We begin with an introduction to a calculus of fractional finite differences. We extend the discrete Laplace transform to develop a discrete transform method. We define a family of finite fractional difference equations and employ the transform method to obtain solutions. AMS subject classification:...

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Bibliographic Details
Published inInternational journal of difference equations Vol. 2; no. 2; p. 165
Main Authors Atici, Ferhan M, Eloe, Paul W
Format Journal Article
LanguageEnglish
Published Research India Publications 01.12.2007
Subjects
Mathematical analysis
Transformations (Mathematics)
United States
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Summary:We begin with an introduction to a calculus of fractional finite differences. We extend the discrete Laplace transform to develop a discrete transform method. We define a family of finite fractional difference equations and employ the transform method to obtain solutions. AMS subject classification: 39A12, 26A33. Keywords: Discrete fractional calculus, finite fractional difference equation, Laplace transform on time scales.
ISSN:0973-6069
0974-1828