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

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  • Thabet Abdeljawad
  • Betül Benli
  • Dumitru Baleanu

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).

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Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:546062
DOI: 10.1155/2012/546062
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