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arxiv: 1812.02213 · v1 · pith:W5BSMFG7new · submitted 2018-12-05 · 🧮 math.CA

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

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keywords banachevolutionexistencefractionalhilfermildsolutionsspace
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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 $C_{0}$-semigroup and Kuratowski measure of non-compactness in Banach space $\Omega$.

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