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Modified Galerkin algorithm for solving multitype fractional differential equations

dc.contributor.authorAlsuyuti, Muhammad M.
dc.contributor.authorDoha, Eid H.
dc.contributor.authorEzz-Eldien, Samer S.
dc.contributor.authorBayoumi, Bayoumi I.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-02-21T11:48:00Z
dc.date.available2020-02-21T11:48:00Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe primary point of this manuscript is to dissect and execute a new modified Galerkin algorithm based on the shifted Jacobi polynomials for solving fractional differential equations (FDEs) and system of FDEs (SFDEs) governed by homogeneous and nonhomogeneous initial and boundary conditions. In addition, we apply the new algorithm for solving fractional partial differential equations (FPDEs) with Robin boundary conditions and time-fractional telegraph equation. The key thought for obtaining such algorithm depends on choosing trial functions satisfying the underlying initial and boundary conditions of such problems. Some illustrative examples are discussed to ascertain the validity and efficiency of the proposed algorithm. Also, some comparisons with some other existing spectral methods in the literature are made to highlight the superiority of the new algorithm.en_US
dc.description.publishedMonth3
dc.identifier.citationAlsuyuti, Muhammad M...et al. (2019). "Modified Galerkin algorithm for solving multitype fractional differential equations", Mathematical Methods in the Applied Sciences, Vol. 42, No. 5, pp. 1389-1412.en_US
dc.identifier.doi10.1002/mma.5431
dc.identifier.endpage1412en_US
dc.identifier.issn0170-4214
dc.identifier.issue5en_US
dc.identifier.startpage1389en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2501
dc.identifier.volume42en_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods in the Applied Sciencesen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectFractional Calculusen_US
dc.subjectJacobi Polynomialsen_US
dc.subjectModified Galerkin Methoden_US
dc.titleModified Galerkin algorithm for solving multitype fractional differential equationstr_TR
dc.titleModified Galerkin Algorithm for Solving Multitype Fractional Differential Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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