Discrete Mittag-Leffler Functions in Linear Fractional Difference Equations

Discrete Mittag-Leffler Functions in Linear Fractional Difference Equations

This paper investigates some initial value problems in discrete fractional calculus. We introduce a linear difference equation of fractional order along with suitable initial conditions of fractional type and prove the existence and uniqueness of the solution. Then the structure of the solutions spa...

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Bibliographic Details
Main Authors: Jan Čermák, Tomáš Kisela, Luděk Nechvátal
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/565067
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