文章基本信息

标题：On the analysis of fractional diabetes model with exponential law
本地全文：下载
作者：Jagdev Singh ; Devendra Kumar ; 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：2018
卷号：2018
期号：1
页码：231
DOI：10.1186/s13662-018-1680-1
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this work, we study the diabetes model and its complications with the Caputo–Fabrizio fractional derivative. A deterministic mathematical model pertaining to the fractional derivative of the diabetes mellitus is discussed. The analytical solution of the diabetes model is derived by exerting the homotopy analysis method, the Laplace transform and the Padé approximation. Moreover, existence and uniqueness of the solution are examined by making use of fixed point theory and the Picard–Lindelof approach. Ultimately, for illustrating the obtained results some numerical simulations are performed.