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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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Abdeljawad et al. (2012) studied this question.
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