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Approximate solution of linear and nonlinear fractional differential equations under m-point local and nonlocal boundary conditions

dc.contributor.authorKhalil, Hammad
dc.contributor.authorKhan, Rahmat Ali
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorSaker, Samir H.
dc.date.accessioned2018-09-26T13:21:32Z
dc.date.available2018-09-26T13:21:32Z
dc.date.issued2016
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümüen_US
dc.description.abstractThis paper investigates a computational method to find an approximation to the solution of fractional differential equations subject to local and nonlocal m-point boundary conditions. The method that we will employ is a variant of the spectral method which is based on the normalized Bernstein polynomials and its operational matrices. Operational matrices that we will developed in this paper have the ability to convert fractional differential equations together with its nonlocal boundary conditions to a system of easily solvable algebraic equations. Some test problems are presented to illustrate the efficiency, accuracy, and applicability of the proposed method.en_US
dc.description.publishedMonth7
dc.identifier.citationKhalil, H...et al. (2016). Approximate solution of linear and nonlinear fractional differential equations under m-point local and nonlocal boundary conditions. Advance in Difference Equations. http://dx.doi.org/ 10.1186/s13662-016-0910-7en_US
dc.identifier.doi10.1186/s13662-016-0910-7
dc.identifier.issn1687-1847
dc.identifier.urihttp://hdl.handle.net/20.500.12416/1799
dc.language.isoenen_US
dc.publisherSpringer International Publishingen_US
dc.relation.ispartofAdvance in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBernstein Polynomialsen_US
dc.subjectOperational Matricesen_US
dc.subjectM-Point Boundary Conditionsen_US
dc.subjectFractional Differential Equationsen_US
dc.titleApproximate solution of linear and nonlinear fractional differential equations under m-point local and nonlocal boundary conditionstr_TR
dc.titleApproximate Solution of Linear and Nonlinear Fractional Differential Equations Under M-Point Local and Nonlocal Boundary Conditionsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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