文章基本信息

标题：A New Operational Matrix Method for Solving Nonlinear Caputo Fractional Derivative Integro-Differential Static Beam Problems via Chebyshev Polynomials
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作者：Thanon Korkiatsakul ; Sanoe Koonprasert ; Khomsan Neamprem 等
期刊名称：Lecture Notes in Engineering and Computer Science
印刷版ISSN：2078-0958
电子版ISSN：2078-0966
出版年度：2018
卷号：2233&2234
页码：450-455
出版社：Newswood and International Association of Engineers
摘要：A new operational matrix method based on Chebyshev polynomials is developed for obtaining approximate numerical solutions of boundary value problems for non-linear fourth order Caputo fractional derivative integro-differential equations. The new Chebyshev operational matrices are applied to reduce the integro-differential equations for the static beam problem to a system of nonlinear algebraic equations. Examples are given to show the simplicity and accuracy of the proposed method.
关键词：Caputo fractional integro;differential equation (FIDEs); Chebyshev polynomials; Static beam problem;