Mild solutions for impulsive integro-differential equations involving hilfer fractional derivative with almost sectorial operators

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dc.contributor.authorKulandhaivel Karthikeyan
dc.contributor.authorPanjaiyan Karthikeyan
dc.contributor.authorNichaphat Patanarapeelert
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceN. Patanarapeelert; Department of Mathematics, Faculty of Applied Science, King MongkutÕs University of Technology North Bangkok, Bangkok, 10800, Thailand; email: nichaphat.p@sci.kmutnb.ac.th; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
dc.date.accessioned2025-03-10T07:35:28Z
dc.date.available2025-03-10T07:35:28Z
dc.date.issued2021
dc.description.abstractIn this manuscript, we establish the mild solutions for Hilfer fractional derivative integrodifferential equations involving jump conditions and almost sectorial operator. For this purpose, we identify the suitable definition of a mild solution for this evolution equations and obtain the existence results. In addition, an application is also considered. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
dc.identifier.citationAxioms
dc.identifier.doi10.3390/axioms10040313
dc.identifier.issn20751680
dc.identifier.scopus2-s2.0-85120065160
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4706
dc.languageEnglish
dc.publisherMDPI
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectAlmost sectorial operators
dc.subjectHilfer fractional derivative
dc.subjectImpulsive conditions
dc.subjectMeasure of non-compactness
dc.subjectMild solutions
dc.titleMild solutions for impulsive integro-differential equations involving hilfer fractional derivative with almost sectorial operators
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85120065160&doi=10.3390%2faxioms10040313&partnerID=40&md5=6b6b48421a6eead0530047db35b83553
oaire.citation.issue4
oaire.citation.volume10
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