%0 Journal Article %T q-FRACTIONAL INITIAL VALUE PROBLEMS AND q-ANALOGUE OF GENERALIZED MITTAG-LEFFLER FUNCTION %A KISHAN SHARMA %J Journal of Science and Arts %D 2012 %I Bibliotheca Publishing House %X In the present paper, the author introduced q-analogues of generalized Mittag-Leffler function referred by Prabhakar [23]. Results derived in this paper are the extensions of the results derived earlier by Abdeljawad et al. [19]. Some special cases of interest are also discussed. %K Left q-fractional integral %K right q-fractional integral %K Caputo left and right q-fractional derivatives %K generalized Mittag-Leffler function. %U http://www.icstm.ro/DOCS/josa/josa_2012_4/a_08_Kishan_Sarma.pdf