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

Thabet Abdeljawad, Betül Benli and Dumitru Baleanu

Abstract and Applied Analysis, 2012, vol. 2012, 1-11

Abstract:

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).

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:546062

DOI: 10.1155/2012/546062

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