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Solutions around a regular α singular point of a sequential conformable fractional differential equation

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Özet

In this work, firstly, some concepts of conformable fractional calculus in literature are given. Secondly, definitions of α-analytic point, α-ordinary point and regular α singular point are presented. Finally, the fractional power series solutions are given around a regular-singular point, in the case of variable coefficients for homogeneous sequential linear conformable fractional differential equations of order 2α.

Anahtar Kelimeler

Conformable fractional derivativeFractional power seriesRegular α singular pointSequential conformable fractional differential equationSeries solutions
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorUnal, Emrah
dc.contributor.authorGokdogan, Ahmet
dc.contributor.authorCelik, Ercan
dc.date.accessioned2026-10-22T10:23:54.046086573Z
dc.date.available2026-10-22T10:23:54.046086573Z
dc.date.issued2017
dc.description.abstractIn this work, firstly, some concepts of conformable fractional calculus in literature are given. Secondly, definitions of α-analytic point, α-ordinary point and regular α singular point are presented. Finally, the fractional power series solutions are given around a regular-singular point, in the case of variable coefficients for homogeneous sequential linear conformable fractional differential equations of order 2α.
dc.identifier.eissn2307-4116
dc.identifier.endpage16
dc.identifier.issn2307-4108
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85019893543
dc.identifier.startpage9
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15343
dc.identifier.volume44
dc.identifier.wosWOS:000396685800002
dc.language.isoen
dc.publisherUniversity of Kuwait
dc.relation.ispartofKuwait Journal of Science
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectConformable fractional derivative
dc.subjectFractional power series
dc.subjectRegular α singular point
dc.subjectSequential conformable fractional differential equation
dc.subjectSeries solutions
dc.subject.classificationMultidisciplinary Sciences
dc.subject.classificationScience & Technology - Other Topics
dc.titleSolutions around a regular α singular point of a sequential conformable fractional differential equation
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus9
rdl.citation.wos9
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)