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A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations
Journal article   Open access  Peer reviewed

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

Thabet Abdeljawad, Betul Benli and Dumitru Baleanu
Abstract and applied analysis, Vol.2012, pp.1-11
01/01/2012
DOI: https://doi.org/10.1155/2012/546062

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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https://doi.org/10.1155/2012/546062View
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