Existence of Mild Solutions To Hilfer Fractional Evolution Equations in Banach Space

Abdeljawad, ThabetSousa, J. Vanterler da C.Jarad, Fahd2022-04-212025-09-182022-04-212025-09-182020Sousa, J. Vanterler da C.; Jarad, Fahd; Abdeljawad, Thabet (2021). "Existence of mild solutions to Hilfer fractional evolution equations in Banach space", Annals of Functional Analysis, Vol. 12, No. 1.2639-73902008-8752https://doi.org/10.1007/s43034-020-00095-5https://hdl.handle.net/20.500.12416/11503Sousa, Jose Vanterler/0000-0002-6986-948XIn this paper, we investigate the existence of mild solutions to semilinear evolution fractional differential equations with non-instantaneous impulses, using the concepts of equicontinuous (alpha,beta)-resolvent operator function P-alpha,P-beta(t) and Kuratowski measure of non-compactness in Banach space Omega.eninfo:eu-repo/semantics/openAccessHilfer Fractional Evolution EquationsMild SolutionExistenceEquicontinuous (Alpha, Beta)-Resolvent OperatorKuratowski Measure Of Non-CompactnessExistence of Mild Solutions To Hilfer Fractional Evolution Equations in Banach SpaceExistence of mild solutions to Hilfer fractional evolution equations in Banach spaceArticle10.1007/s43034-020-00095-52-s2.0-85096323884