Hybrid Fractional Operators: A New Approach with Proportional Derivatives

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dc.contributor.authorAlha, Subhash
dc.contributor.authorAkgul, Ali
dc.contributor.authorKhalid, Mohd
dc.date.accessioned2025-05-05T12:11:51Z
dc.date.available2025-05-05T12:11:51Z
dc.date.issued2025
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, new hybrid fractional operators are introduced, which are generated by replacing classical derivatives with proportional derivatives. To be more precise, we combine regularised Hilfer-Prabhakar (RHP) and two-parameter Atangana-Baleanu (SABC) fractional derivatives with constant proportional derivatives. This paper provides an in-depth analysis of the implications and uses of these hybrid operators as they relate to differential equations with constant proportional derivatives.
dc.identifier.doi10.5890/JEAM.2025.09.004
dc.identifier.issn23256192
dc.identifier.issue3
dc.identifier.scopus2-s2.0-105003497975
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.5890/JEAM.2025.09.004
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8643
dc.identifier.volume13
dc.indekslendigikaynakScopus
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectFractional differential equations
dc.subjectHybrid fractional operators
dc.subjectProportional derivatives
dc.titleHybrid Fractional Operators: A New Approach with Proportional Derivatives
dc.typeArticle

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