文章基本信息

标题：Approximate solution of linear and nonlinear fractional differential equations under m-point local and nonlocal boundary conditions
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作者：Hammad Khalil ; Rahmat Ali Khan ; Dumitru Baleanu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：177
DOI：10.1186/s13662-016-0910-7
语种：English
出版社：Hindawi Publishing Corporation
摘要：This 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.
关键词：Bernstein polynomials ; operational matrices ; m -point boundary conditions ; fractional differential equations