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Solving Helmholtz Equation with Local Fractional Derivative Operators

dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorJassim, Hassan Kamil
dc.contributor.authorAl Qurashi, Maysaa Mohamed
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-25T13:13:07Z
dc.date.available2019-12-25T13:13:07Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümüen_US
dc.description.abstractThe paper presents a new analytical method called the local fractional Laplace variational iteration method (LFLVIM), which is a combination of the local fractional Laplace transform (LFLT) and the local fractional variational iteration method (LFVIM), for solving the two-dimensional Helmholtz and coupled Helmholtz equations with local fractional derivative operators (LFDOs). The operators are taken in the local fractional sense. Two test problems are presented to demonstrate the efficiency and the accuracy of the proposed method. The approximate solutions obtained are compared with the results obtained by the local fractional Laplace decomposition method (LFLDM). The results reveal that the LFLVIM is very effective and convenient to solve linear and nonlinear PDEs.en_US
dc.description.publishedMonth9
dc.identifier.citationBaleanu, Dumitru; Jassim, Hassan Kamil; Al Qurashi, Maysaa, "Solving Helmholtz Equation with Local Fractional Derivative Operators", Fractal and Fractional, Vol. 3, No. 3, (September 2019).en_US
dc.identifier.doi10.3390/fractalfract3030043
dc.identifier.issue3en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2293
dc.identifier.volume3en_US
dc.language.isoenen_US
dc.publisherMDPIen_US
dc.relation.ispartofFractal and Fractionalen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCoupled Helmholtz Equationen_US
dc.subjectLocal Fractional Variational Iteration Methoden_US
dc.subjectLocal Fractional Laplace Transform (LFLT)en_US
dc.titleSolving Helmholtz Equation with Local Fractional Derivative Operatorstr_TR
dc.titleSolving Helmholtz Equation With Local Fractional Derivative Operatorsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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