On tempered Hilfer fractional derivatives with respect to functions and the associated fractional differential equations

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dc.contributor.authorKucche, Kishor D.
dc.contributor.authorMali, Ashwini D.
dc.contributor.authorFernandez, Arran
dc.contributor.authorFahad, Hafiz Muhammad
dc.date.accessioned2026-02-06T18:37:22Z
dc.date.issued2022
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractWe investigate the Hilfer-type operator within the topic of tempered fractional calculus with respect to functions. This operator, the tempered Psi-Hilfer derivative, is defined for the first time here, and its fundamental properties are studied, such as composition properties, function space mappings, and other functional analysis properties. We also consider fractional differential equations involving these operators, and establish existence, uniqueness, well-posedness, and stability results for such equations under suitable conditions.
dc.description.sponsorshipScience and Engineering Re-search Board (SERB) , New Delhi, India [EEQ/2018/000407]; Isaac Newton Institute for Mathematical Sciences, Cambridge; EPSRC [EP/R014604/1]; Engineering and Physical Sciences Research Council [EP/R014604/1] Funding Source: researchfish
dc.description.sponsorshipThe first author acknowledges the Science and Engineering Re-search Board (SERB) , New Delhi, India for the Research Grant (Ref: File no. EEQ/2018/000407) . The fourth author would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Fractional Differential Equations where work on this paper was undertaken. This work was supported by EPSRC grant no. EP/R014604/1.
dc.identifier.doi10.1016/j.chaos.2022.112547
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.orcid0000-0002-9448-5525
dc.identifier.orcid0000-0001-9128-4560
dc.identifier.scopus2-s2.0-85136508748
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2022.112547
dc.identifier.urihttps://hdl.handle.net/11129/12446
dc.identifier.volume163
dc.identifier.wosWOS:000875035500013
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectFractional differential equations
dc.subjectTempered fractional calculus
dc.subjectHilfer fractional derivative
dc.subjectFractional calculus with respect to a function
dc.subjectExistence and uniqueness
dc.subjectWell-posedness
dc.subjectUlam stability
dc.titleOn tempered Hilfer fractional derivatives with respect to functions and the associated fractional differential equations
dc.typeArticle

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