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

Thabet Abdeljawad | Zendy; Betül Benli | Zendy; Dumitru Băleanu | Zendy

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

Author(s) -

Thabet Abdeljawad,

Betül Benli,

Dumitru Băleanu

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/546062

Subject(s) - mathematics , mittag leffler function , fractional calculus , function (biology) , type (biology) , mathematical analysis , pure mathematics , ecology , evolutionary biology , biology

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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