文章基本信息

标题：Exact Solutions and Numerical Comparison of Methods for Solving Fractional-Order Differential Systems
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作者：Natchapon Lekdee ; Sekson Sirisubtawee ; Sanoe Koonprasert 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：459-466
出版社：Newswood and International Association of Engineers
摘要：In this paper, we apply the Laplace-AdomianPade method (LAPM), which is based on the Laplace-Adomian decomposition method (LADM), and the Adams-BashforthMoulton type predictor-corrector scheme to solve a fractionalorder model of the glucose-insulin homeostasis in rats for analytical and numerical solutions, respectively. Moreover, the exact solutions of this fractional-order model, which are solved using the Laplace transform, are employed to numerically and graphically compare with the results obtained using the two methods. The LAPM and the predictor-corrector scheme can also be applied simply and efficiently to other fractional-order differential systems arising in engineering problems.
关键词：Laplace-Adomian decomposition method;; Pade approximation; Adams-Bashforth-Moulton predictor;´; corrector scheme; Caputo fractional-order derivative; Exact; solution