Existence of mild solutions to Hilfer fractional evolution equations in Banach space

2018/12/05 by Sousa, J. Vanterler da C.
#26A33 #34K45 #47D06 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1812.02213

Abstract

In this paper, we investigate the existence of mild solutions to Hilfer fractional equation of semi-linear evolution with non-instantaneous impulses, using the concepts of equicontinuous C₀-semigroup and Kuratowski measure of non-compactness in Banach space Ω.

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