A note on the mild solutions of Hilfer impulsive fractional differential equations
Classical Analysis and ODEs
2018-11-26 v1
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 -Ulam-Hyers-Rassias stability of the mild solution for the fractional differential equation with non-instantaneous impulses in a P-normed Banach space.
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Cite
@article{arxiv.1811.09256,
title = {A note on the mild solutions of Hilfer impulsive fractional differential equations},
author = {J. Vanterler da C. Sousa and D. S. Oliveira and E. Capelas de Oliveira},
journal= {arXiv preprint arXiv:1811.09256},
year = {2018}
}
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23 pages, 0 figure