Existence and uniqueness theorems for sequential linear conformable fractional differential equations

MakaleAçık Erişim

Özet

Recently, a new definition of fractional derivative called as the conformable fractional derivative which based on limits introduced by Khalil et al (2014). Later, Abdeljawad (2015) improved these definitions and gave the basic concepts in this new fractional calculus. In this paper, we generalize Abel's formula and Wronskian determinant definition and establish existence and uniqueness theorems for sequential linear conformable fractional differential equations.

Anahtar Kelimeler

RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15224Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.18514/mmn.2016.1635Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorGökdoğan, Ahmet
dc.contributor.authorÜnal, Emrah
dc.contributor.authorÇelik, Ercan
dc.date.accessioned2026-10-22T10:23:44.864223702Z
dc.date.available2026-10-22T10:23:44.864223702Z
dc.date.issued2016
dc.description.abstractRecently, a new definition of fractional derivative called as the conformable fractional derivative which based on limits introduced by Khalil et al (2014). Later, Abdeljawad (2015) improved these definitions and gave the basic concepts in this new fractional calculus. In this paper, we generalize Abel's formula and Wronskian determinant definition and establish existence and uniqueness theorems for sequential linear conformable fractional differential equations.
dc.identifier.doi10.18514/mmn.2016.1635
dc.identifier.eissn1787-2413
dc.identifier.endpage279
dc.identifier.issn1787-2405
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85010376222
dc.identifier.startpage267
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15224
dc.identifier.volume17
dc.identifier.wosWOS:000390602900021
dc.language.isoen
dc.publisherUniversity of Miskolc
dc.relation.ispartofMiskolc Mathematical Notes
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectConformable fractional derivative
dc.subjectExistence and uniqueness theorems
dc.subjectSequential linear fractional differential equations
dc.subject.classificationMathematics
dc.titleExistence and uniqueness theorems for sequential linear conformable fractional differential equations
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex40
rdl.citation.scopus27
rdl.citation.wos26
rdl.oa.statusgold
rdl.oa.urlhttp://mat76.mat.uni-miskolc.hu/mnotes/download_article/1635.pdf
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)