DSpace Repository

Further studies on ordinary differential equations involving the M-fractional derivative

Show simple item record

dc.contributor.author Khoshkenar, A.
dc.contributor.author Ilie, M.
dc.contributor.author Hosseini, K.
dc.contributor.author Baleanu, D.
dc.contributor.author Salahshour, S.
dc.contributor.author Park, C.
dc.contributor.author Lee, J.R.
dc.date.accessioned 2024-03-28T12:19:01Z
dc.date.available 2024-03-28T12:19:01Z
dc.date.issued 2022
dc.identifier.citation Khoshkenar, A. (2022). "Further studies on ordinary differential equations involving the M-fractional derivative", AIMS Mathematics, Vol.7, No.6, pp.10977-10993. tr_TR
dc.identifier.issn 24736988
dc.identifier.uri http://hdl.handle.net/20.500.12416/7798
dc.description.abstract In the current paper, the power series based on the M-fractional derivative is formally introduced. More peciesely, the Taylor and Maclaurin expansions are generalized for fractional-order differentiable functions in accordance with the M-fractional derivative. Some new definitions, theorems, and corollaries regarding the power series in the M sense are presented and formally proved. Several ordinary differential equations (ODEs) involving the M-fractional derivative are solved to examine the validity of the results presented in the current study. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2022613 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject M-Fractional Derivative tr_TR
dc.subject New Definitions tr_TR
dc.subject Theorems And Corollaries tr_TR
dc.subject Ordinary Differential Equations tr_TR
dc.subject Power Series tr_TR
dc.title Further studies on ordinary differential equations involving the M-fractional derivative tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 6 tr_TR
dc.identifier.startpage 10977 tr_TR
dc.identifier.endpage 10993 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


Files in this item

This item appears in the following Collection(s)

Show simple item record