Existence Results for Langevin Equation Involving Atangana-Baleanu Fractional Operators

Baleanu, Dumitru; Darzi, Rahmat; Agheli, Bahram

dc.contributor.author	Baleanu, Dumitru
dc.contributor.author	Darzi, Rahmat
dc.contributor.author	Agheli, Bahram
dc.date.accessioned	2021-01-29T11:15:20Z
dc.date.available	2021-01-29T11:15:20Z
dc.date.issued	2020-03
dc.identifier.citation	Baleanu, Dumitru; Darzi, Rahmat; Agheli, Bahram (2020). "Existence Results for Langevin Equation Involving Atangana-Baleanu Fractional Operators", Mathematics, Vol. 8, No. 3.	tr_TR
dc.identifier.issn	2227-7390
dc.identifier.uri	http://hdl.handle.net/20.500.12416/4512
dc.description.abstract	A new form of nonlinear Langevin equation (NLE), featuring two derivatives of non-integer orders, is studied in this research. An existence conclusion due to the nonlinear alternative of Leray-Schauder type (LSN) for the solution is offered first and, following that, the uniqueness of solution using Banach contraction principle (BCP) is demonstrated. Eventually, the derivatives of non-integer orders are elaborated in Atangana-Baleanu sense.	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	10.3390/math8030408	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Atangana-Baleanu Fractional Derivative	tr_TR
dc.subject	Langevin Equation	tr_TR
dc.subject	Leray-Schauder Nonlinear	tr_TR
dc.subject	Existence Results	tr_TR
dc.subject	26A33	tr_TR
dc.subject	47E05	tr_TR
dc.title	Existence Results for Langevin Equation Involving Atangana-Baleanu Fractional Operators	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Mathematics	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	8	tr_TR
dc.identifier.issue	3	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü	tr_TR