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Application of Fixed Point Theorem for Stability Analysis of a Nonlinear Schrodinger with Caputo-Liouville Derivative

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dc.contributor.authorAtangana, Abdon
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-18T10:35:40Z
dc.date.available2019-12-18T10:35:40Z
dc.date.issued2017
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümüen_US
dc.description.abstractUsing the new Caputo-Liouville derivative with fractional order, we have modified the nonlinear Schrdinger equation. We have shown some useful in connection of the new derivative with fractional order. We used an iterative approach to derive an approximate solution of the modified equation. We have established the stability of the iteration scheme using the fixed point theorem. We have in addition presented in detail the uniqueness of the special solution.en_US
dc.identifier.citationAtangana, Abdon; Baleanu, Dumitru (2017). Application of Fixed Point Theorem for Stability Analysis of a Nonlinear Schrodinger with Caputo-Liouville Derivative, Filomat, 31(8), 2243-2248.en_US
dc.identifier.doi10.2298/FIL1708243A
dc.identifier.endpage2248en_US
dc.identifier.issn0354-5180
dc.identifier.issue8en_US
dc.identifier.startpage2243en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2170
dc.identifier.volume31en_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCaputo-Liouville Derivative With Fractional Orderen_US
dc.subjectNonlinear Schrodinger Equationen_US
dc.subjectFixed Point Theoremen_US
dc.subjectUniquenessen_US
dc.titleApplication of Fixed Point Theorem for Stability Analysis of a Nonlinear Schrodinger with Caputo-Liouville Derivativetr_TR
dc.titleApplication of Fixed Point Theorem for Stability Analysis of a Nonlinear Schrodinger With Caputo-Liouville Derivativeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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