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arXiv · 1806.01442

On the existence and stability for non-instantaneuos impulsive fractional integrodifferential equation

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

In this paper, by means of Banach fixed point theorem, we investigate the existence and Ulam--Hyers--Rassias stability of the non-instantaneous impulsive integrodifferential equation by means of $ψ$-Hilfer fractional derivative. In this sense, some examples are presented, in order to consolidate the results obtained.

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J. Vanterler da C. Sousa, D. S. Oliveira, E. Capelas de Oliveira. 2018-12-05. On the existence and stability for non-instantaneuos impulsive fractional integrodifferential equation. https://doi.org/10.1002/mma.5430

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