A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations

Thabet Abdeljawad; Betül Benli; Dumitru Baleanu

doi:10.1155/2012/546062

Abstract and Applied Analysis (Jan 2012)

A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations

Thabet Abdeljawad,
Betül Benli,
Dumitru Baleanu

Affiliations

Thabet Abdeljawad: Department of Mathematics and Computer Science, Çankaya University, 06530 Ankara, Turkey
Betül Benli: Department of Mathematics and Computer Science, Çankaya University, 06530 Ankara, Turkey
Dumitru Baleanu: Department of Mathematics and Computer Science, Çankaya University, 06530 Ankara, Turkey

DOI: https://doi.org/10.1155/2012/546062
Journal volume & issue: Vol. 2012

Abstract

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Some Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions. The obtained q-version of Mittag-Leffler function is thought as the q-analogue of the one introduced previously by Kilbas and Saigo (1995).

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

About the journal