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Nonlinear higher order fractional terminal value problems

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dc.authorscopusid7005872966
dc.authorscopusid55614612800
dc.authorwosidShiri, Babak/T-7172-2019
dc.authorwosidBaleanu, Dumitru/B-9936-2012
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorShiri, Babak
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-04-25T07:44:06Z
dc.date.available2024-04-25T07:44:06Z
dc.date.issued2022
dc.departmentÇankaya Universityen_US
dc.department-temp[Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] China Med Univ, Dept Med Res, China Med Univ Hosp, Taichung, Taiwan; [Shiri, Babak] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R Chinaen_US
dc.description.abstractTerminal value problems for systems of fractional differential equations are studied with an especial focus on higher-order systems. Discretized piecewise polynomial collocation methods are used for approximating the exact solution. This leads to solving a system of nonlinear equations. For solving such a system an iterative method with a required tolerance is introduced and analyzed. The existence of a unique solution is guaranteed with the aid of the fixed point theorem. Order of convergence for the given numerical method is obtained. Numerical experiments are given to support theoretical results.en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.citationBaleanu, Dumitru; Shiri, Babak. (2022). "Nonlinear higher order fractional terminal value problems", AIMS Mathematics, Vol.7, No.5, pp.7489-7506.en_US
dc.identifier.doi10.3934/math.2022420
dc.identifier.endpage7506en_US
dc.identifier.issn2473-6988
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85124415544
dc.identifier.scopusqualityQ1
dc.identifier.startpage7489en_US
dc.identifier.urihttps://doi.org/10.3934/math.2022420
dc.identifier.volume7en_US
dc.identifier.wosWOS:000755158800015
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherAmer inst Mathematical Sciences-aimsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTerminal Value Problemsen_US
dc.subjectSystems Of Fractional Differential Equationsen_US
dc.subjectExistenceen_US
dc.subjectRegularityen_US
dc.subjectWeakly Singular Volterra And Fredholm Integral Equationsen_US
dc.subjectPiecewise Polynomials Collocation Methodsen_US
dc.titleNonlinear higher order fractional terminal value problemstr_TR
dc.titleNonlinear Higher Order Fractional Terminal Value Problemsen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationf4fffe56-21da-4879-94f9-c55e12e4ff62
relation.isAuthorOfPublication.latestForDiscoveryf4fffe56-21da-4879-94f9-c55e12e4ff62

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