Abstract and Applied Analysis

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

Thabet Abdeljawad, Betül Benli, and Dumitru Baleanu

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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).

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Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 546062, 11 pages.

First available in Project Euclid: 5 April 2013

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Abdeljawad, Thabet; Benli, Betül; Baleanu, Dumitru. A Generalized q -Mittag-Leffler Function by q -Captuo Fractional Linear Equations. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 546062, 11 pages. doi:10.1155/2012/546062. https://projecteuclid.org/euclid.aaa/1365168362

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