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The -Fractional Analogue for Gronwall-Type Inequality
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Abstract
We utilize -fractional Caputo initial value problems of order to derive a -analogue for Gronwall-type inequality. Some particular cases are derived where -Mittag-Leffler functions and -exponential type functions are used. An example is given to illustrate the validity of the derived inequality.
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Preface
Anatoly Kilbas, Hari Srivastava, Juan J Trujillo (2006)
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Initial value problems in discrete fractional calculus
Paul W. Eloe, Ferhan M Atici (2009)