文章基本信息

标题：Fractional dynamical analysis of measles spread model under vaccination corresponding to nonsingular fractional order derivative
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作者：Ghazala Nazir ; Kamal Shah ; Hussam Alrabaiah 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：2020
卷号：2020
期号：1
页码：1-15
DOI：10.1186/s13662-020-02628-7
出版社：Hindawi Publishing Corporation
摘要：In this paper, our main purpose is to present an analytical solution for measles spread model with three doses of vaccination using Caputo–Fabrizio fractional derivative (CFFD). The presented solution is based on Laplace transform with Adomian decomposition method (LADM), which is an effective technique to obtain a solution for such type of problems. Our solution involves nonlinear differential equations of fractional order (FODEs) with non-singular kernel. Also, we provide analysis to verify the existence of a solution to the considered model using fixed point theory. Numerical results are presented to verify the model building analysis, which proved to be efficient in solving such problems.
关键词：Fractional differential equation;Caputo–Fabrizio fractional derivative;Laplace Adomian decomposition method (LADM);Measles spread model;