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On some fractional operators generated from Abel’s formula

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dc.contributor.author Uğurlu, Ekin
dc.date.accessioned 2024-04-30T12:03:08Z
dc.date.available 2024-04-30T12:03:08Z
dc.date.issued 2022
dc.identifier.citation Uğurlu, Ekin. (2022). "On some fractional operators generated from Abel’s formula", Turkish Journal of Mathematics, Vol.46, pp.1-23. tr_TR
dc.identifier.uri http://hdl.handle.net/20.500.12416/8096
dc.description.abstract This work aims to share some fractional integrals and derivatives containing three real parameters. The main tool to introduce such operators is the corresponding Abel’s equation. Solvability conditions for the Abel’s equations are shared. Semigroup properties for fractional integrals are introduced. Integration by parts rule is given. Moreover, mean value theorems and related results are shared. At the end of the paper, some directions for some fractional operators are given. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof :10.3906/mat-2010-53 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Integrals tr_TR
dc.subject Fractional Derivatives tr_TR
dc.subject Mean Value Theorems tr_TR
dc.title On some fractional operators generated from Abel’s formula tr_TR
dc.type article tr_TR
dc.relation.journal Turkish Journal of Mathematics tr_TR
dc.contributor.authorID 238990 tr_TR
dc.identifier.volume 46 tr_TR
dc.identifier.startpage 1 tr_TR
dc.identifier.endpage 23 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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