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

Classical Analysis and ODEs 2018-12-07 v1

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 C0C_{0}-semigroup and Kuratowski measure of non-compactness in Banach space Ω\Omega.

Keywords

Cite

@article{arxiv.1812.02213,
  title  = {Existence of mild solutions to Hilfer fractional evolution equations in Banach space},
  author = {J. Vanterler da C. Sousa},
  journal= {arXiv preprint arXiv:1812.02213},
  year   = {2018}
}

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