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arXiv · 1903.00627

A generalized Gronwall Inequality for Caputo Fractional Dynamic delta operator

Deepak B. Pachpatte
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Abstract

In this paper we obtain generalized Gronwall type inequality using Caputo Fractional delta operator. Also we have obtained the existence of solution of Cauchy's Type problem on fractional dynamic equations using dynamic delta operator. Applying the obtained inequality we study the properties of solution on fractional dynamic equations.

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Deepak B. Pachpatte. 2019-03-02. A generalized Gronwall Inequality for Caputo Fractional Dynamic delta operator. https://arxiv.org/abs/1903.00627

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