Abdeljawad, ThabetAbdeljawad, ThabetAlzabut, Jehad O.Alzabut, JehadMatematik2020-04-032020-04-032013Abdeljawad, Thabet; Alzabut, Jehad O. "The q-Fractional Analogue for Gronwall-Type Inequality", Journal of Function Spaces and Applications, (2013)2090-89970972-6802https://doi.org/10.1155/2013/543839Abdeljawad, Thabet/0000-0002-8889-3768; Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138We utilize q-fractional Caputo initial value problems of order 0 < alpha <= 1 to derive a.. -analogue for Gronwall-type inequality. Some particular cases are derived where q-Mittag-Leffler functions and q-exponential type functions are used. An example is given to illustrate the validity of the derived inequality.eninfo:eu-repo/semantics/openAccessArticle10.1155/2013/5438392-s2.0-84884897192WOS:000324409600001N/AN/A