Existence and uniqueness theorems for sequential linear conformable fractional differential equations

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dc.authorid0000-0002-1402-1457en_US
dc.contributor.authorGökdoğan, Ahmet
dc.contributor.authorÜnal, Emrah
dc.contributor.authorÇelik, Ercan
dc.date.accessioned2021-09-15T08:12:16Z
dc.date.available2021-09-15T08:12:16Z
dc.date.issued2016
dc.departmentAÇÜ, Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümüen_US
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.citationGökdoğan, A., Ünal, E., & Çelik, E. (2016). Existence and uniqueness theorems for sequential linear conformable fractional differential equations. Miskolc Mathematical Notes, 17(1),267-279en_US
dc.identifier.doi10.18514/MMN.2016.1635
dc.identifier.endpage279en_US
dc.identifier.issue1en_US
dc.identifier.scopusqualityQ2
dc.identifier.startpage267en_US
dc.identifier.urihttps://hdl.handle.net/11494/3427
dc.identifier.volume17en_US
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÜnal, Emrah
dc.language.isoenen_US
dc.publisherUniv Miskolc Inst Mathen_US
dc.relation.ispartofMiskolc Mathematical Notes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSequential linear fractional differential equationsen_US
dc.subjectConformable fractional derivativeen_US
dc.subjectExistence and uniqueness theoremsen_US
dc.titleExistence and uniqueness theorems for sequential linear conformable fractional differential equationsen_US
dc.typeArticle

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