Abdeljawad, ThabetAbdeljawad, ThabetBaleanu, DumitruBenli, BetülBaleanu, Dumitru2017-03-132017-03-132012Abdeljawad, T., Benli, B., aleanu, D. (2012). A generalized q-mittag-leffler function by q-captuo fractional linear equations. Abstract and Applied Analysis. http://dx.doi.org/10.1155/2012/5460621085-3375https://hdl.handle.net/20.500.12416/1442Some 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 Saigoeninfo:eu-repo/semantics/openAccessCalculusDerivativesArticle10.1155/2012/546062