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

DOI10.1007/s43034-020-00095-5zbMath1458.34032arXiv1812.02213OpenAlexW3108065987MaRDI QIDQ2218259

Fahd Jarad, Thabet Abdeljawad, J. Vanterler da Costa Sousa

Publication date: 15 January 2021

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02213

zbMATH Keywords

existencemild solutionKuratowski measure of non-compactnessHilfer fractional evolution equationsequicontinuous \((\alpha,\beta)\)-resolvent operator

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

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