Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations

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dc.contributor.authorBedi, P
dc.contributor.authorKumar, A
dc.contributor.authorAbdeljawad, T
dc.contributor.authorKhan, A.
dc.date.accessioned2020-07-16T07:41:52Z
dc.date.accessioned2024-08-13T11:17:09Z
dc.date.available2020-07-16T07:41:52Z
dc.date.available2024-08-13T11:17:09Z
dc.date.issued2020
dc.description.abstractIn this paper, we investigate the existence of mild solutions for neutral Hilfer fractional evolution equations with noninstantaneous impulsive conditions in a Banach space. We obtain the existence results by applying the theory of resolvent operator functions, Hausdorff measure of noncompactness, and Sadovskii's fixed point theorem. We also present an example to show the validity of obtained results. 2020, The Author(s).en_US
dc.identifier.doi10.1186/s13662-020-02615-y
dc.identifier.issn16871839
dc.identifier.urihttp://10.2.3.109/handle/32116/2625
dc.identifier.urlhttps://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-020-02615-y
dc.language.isoen_USen_US
dc.publisherSpringeren_US
dc.subjectHausdorff measure of noncompactnessen_US
dc.subjectHilfer fractional derivativeen_US
dc.subjectNoninstantaneous impulsive conditionsen_US
dc.subjectResolvent operator functionsen_US
dc.titleExistence of mild solutions for impulsive neutral Hilfer fractional evolution equationsen_US
dc.title.journalAdvances in Difference Equationsen_US
dc.typeArticleen_US
dc.type.accesstypeOpen Accessen_US

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