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arXiv · 1811.09256

A note on the mild solutions of Hilfer impulsive fractional differential equations

J. Vanterler da C. Sousa·D. S. Oliveira·E. Capelas de Oliveira
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Abstract

In this paper, we present a new class of inequality of the Gronwall type and discuss some particular cases. In this sense, we investigate the uniqueness and $\delta$-Ulam-Hyers-Rassias stability of the mild solution for the fractional differential equation with non-instantaneous impulses in a P$\delta$-normed Banach space.

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J. Vanterler da C. Sousa, D. S. Oliveira, E. Capelas de Oliveira. 2018-11-22. A note on the mild solutions of Hilfer impulsive fractional differential equations. https://arxiv.org/abs/1811.09256

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