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, issue 1

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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https://doi.org/10.1155/2012/546062

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:546062

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