Generalized derivatives and Laplace transform in(k, ? ) Hilfer form

dc.authorid0000-0003-3151-6467en_US
dc.authorid0000-0002-4552-0769en_US
dc.authorid0000-0003-1205-6848en_US
dc.contributor.authorBaşcı, Yasemin
dc.contributor.authorMısır, Adil
dc.contributor.authorÖğrekçi, Süleyman
dc.date.accessioned2024-03-04T08:37:36Z
dc.date.available2024-03-04T08:37:36Z
dc.date.issued2023en_US
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this work, we discuss the most generalized derivatives and integrals and their features in (k, psi)-Hilfer form. Furthermore, we define the new generalized Laplace transform to the generalized derivatives and integrals in (k, psi)-Hilfer form. Also, we have obtained the new generalized Laplace transforms of some expressions. These statements obtained cover many previous studies. Finally, we have given an example that will both use some of the results obtained and emphasize the importance of parameters such ask, rho, psi of the (k, psi)-generalized Laplace transform.en_US
dc.identifier.citationBaşcı, Y., Mısır, A., & Öğrekçi, S. (2023). Generalized derivatives and Laplace transform in (k, ψ)‐Hilfer form. Mathematical Methods in the Applied Sciences, 46(9), 10400-10420.en_US
dc.identifier.doi10.1002/mma.9129
dc.identifier.endpage10420en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-85149341425en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage10400en_US
dc.identifier.urihttp://dx.doi.org/10.1002/mma.9129
dc.identifier.urihttps://hdl.handle.net/20.500.12491/12044
dc.identifier.volume46en_US
dc.identifier.wosWOS:000941163200001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBaşcı, Yasemin
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods in the Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGeneralized Fractional Derivativesen_US
dc.subjectGeneralized Fractional Integralsen_US
dc.subjectGeneralized Laplace Transformsen_US
dc.subject(k,ψ)‐ Hilfer Formen_US
dc.subjectk-Mittag-Leffler Functionen_US
dc.subjectk-Pochhammer Symbolen_US
dc.titleGeneralized derivatives and Laplace transform in(k, ? ) Hilfer formen_US
dc.typeArticleen_US

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