The Q-Fractional Analogue for Gronwall-Type Inequality
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Date
2013
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Hindawi Publishing Corporation
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Abstract
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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Abdeljawad, Thabet/0000-0002-8889-3768; Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138
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Abdeljawad, Thabet; Alzabut, Jehad O. "The q-Fractional Analogue for Gronwall-Type Inequality", Journal of Function Spaces and Applications, (2013)
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