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A note on the mild solutions of Hilfer impulsive fractional differential equations (1811.09256v1)

Published 22 Nov 2018 in math.CA

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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