Baleanu, DumitruAbdeljawad, ThabetBenli, Betul2017-03-132025-09-182017-03-132025-09-182012Abdeljawad, 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/10.1155/2012/5460621085-33751687-0409https://doi.org/10.1155/2012/546062https://hdl.handle.net/20.500.12416/13434Baleanu, Dumitru/0000-0002-0286-7244; Abdeljawad, Thabet/0000-0002-8889-3768Some 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).eninfo:eu-repo/semantics/openAccessArticle10.1155/2012/5460622-s2.0-84862274745