Journal
JOURNAL OF FUNCTION SPACES AND APPLICATIONS
Volume -, Issue -, Pages -Publisher
HINDAWI PUBLISHING CORPORATION
DOI: 10.1155/2013/543839
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We 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.
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