The e-positive mild solutions for impulsive evolution fractional differential equations with sectorial operator

DOI10.7153/dea-2023-15-06OpenAlexW4309882494MaRDI QIDQ6122935

Edmundo Capelas de Oliveira, Unnamed Author, J. Vanterler da Costa Sousa

Publication date: 4 March 2024

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2023-15-06

zbMATH Keywords

Gronwall inequalityfractional impulsive evolution equationsmeasure noncompactnessglobal \(e\)-positive mild solutions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

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