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.
