University of TabrizComputational Methods for Differential Equations2345-398212320240501Some delta q−fractional linear dynamic equations and a generalized delta q−Mittag-Leffler function5025101701710.22034/cmde.2023.56037.2339ENNada K.MahdiDepartment of Mathematics, College of Science, University of Basrah, Basrah, Iraq.0009-0004-3399-503XAyad K.KhudairDepartment of Mathematics, College of Science, University of Basrah, Basrah, Iraq.0000-0001-8723-2223Journal Article20230404In this paper, we introduce a generalized delta q−Mittag-Leffler function. Also, we solve some Caputo delta q−fractional dynamic equations and these solutions are expressed by means of the newly introduced delta q−Mittag-Leffler function. https://cmde.tabrizu.ac.ir/article_17017_16d16a485a071ea845f518e2af4ae6fc.pdf