LINEAR FORWARD FRACTIONAL DIFFERENCE EQUATIONS

TitleLINEAR FORWARD FRACTIONAL DIFFERENCE EQUATIONS
Publication TypeJournal Article
Year of Publication2015
AuthorsATICI, FERHANM, ELOE, PAULW
Volume19
Issue1
Start Page31
Pagination11
Date Published2015
ISSN1083-2564
AMS26A33, 39A12
Abstract

In this paper, we continue our study of the linear forward fractional difference equation. We define a convolution and obtain a convolution theorem for the R-transform. We then apply a transform method and obtain a variation of parameters formula for the equation ${ −∆^νy(t) + λy(t + ν − 1) = h(t + ν − 2)}$, where ${1 < ν ≤ 2}$. We introduce two discrete Mittag-Leffler type functions and address their convergence.

URLhttp://www.acadsol.eu/en/articles/19/1/3.pdf
Refereed DesignationRefereed
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