Study of implicit-impulsive differential equations involving Caputo-Fabrizio fractional derivative

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dc.contributor.authorThanin Sitthiwirattham
dc.contributor.authorRozi Gul
dc.contributor.authorKamal Shah
dc.contributor.authorIbrahim Mahariq
dc.contributor.authorJarunee Soontharanon
dc.contributor.authorKhursheed J. Ansari
dc.contributor.correspondenceK. Shah; Department of Mathematics, University of Malakand, Chakdara Dir (Lower), Khyber Pakhtunkhawa, Pakistan; email: kamalshah408@gmail.com
dc.date.accessioned2025-03-10T07:35:07Z
dc.date.available2025-03-10T07:35:07Z
dc.date.issued2022
dc.description.abstractThis article is devoted to investigate a class of non-local initial value problem of implicit-impulsive fractional differential equations (IFDEs) with the participation of the Caputo-Fabrizio fractional derivative (CFFD). By means of KrasnoselskiiÕs fixed-point theorem and BanachÕs contraction principle, the results of existence and uniqueness are obtained. Furthermore, we establish some results of Hyers-Ulam (H-U) and generalized Hyers-Ulam (g-H-U) stability. Finally, an example is provided to demonstrate our results. © 2022 the Author(s),.
dc.identifier.citationAIMS Mathematics
dc.identifier.doi10.3934/math.2022222
dc.identifier.issn24736988
dc.identifier.scopus2-s2.0-85121046905
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4659
dc.languageEnglish
dc.publisherAmerican Institute of Mathematical Sciences
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.subjectCaputo-Fabrizio fractional derivative
dc.subjectFixed point results
dc.subjectG-H-U stability
dc.subjectStability results
dc.titleStudy of implicit-impulsive differential equations involving Caputo-Fabrizio fractional derivative
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85121046905&doi=10.3934%2fmath.2022222&partnerID=40&md5=efa5abc46f859bd9bed44ee61030ed9e
oaire.citation.endPage4037
oaire.citation.issue3
oaire.citation.startPage4017
oaire.citation.volume7
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