Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivative

被引：33
|
作者：
Bushnaq, Samia [1 ]
Khan, Sajjad Ali [2 ]
Shah, Kamal [2 ]
Zaman, Gul [2 ]
机构：
[1] Princess Sumaya Univ Technol, Dept Basic Sci, Amman 11941, Jordan
[2] Univ Malakand, Dept Math, Dir L, Khyber Pakhtunk, Pakistan
来源：
COGENT MATHEMATICS & STATISTICS | 2018年 / 5卷 / 01期
关键词：
HIV/AIDS model; Caputo-Fabrizio derivative; Sumudu transform; existence and uniqueness;
D O I：
10.1080/23311835.2018.1432521
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This manuscript is concerned to the existence and stability of HIV/AIDS infection model with fractional order derivative. The corresponding derivative is taken in Caputo-Fabrizio sense, which is a new approach for such type of biological models. With the help of Sumudu transform, some new results are handled. Further for the corresponding results, existence theory and uniqueness for the equilibrium solution are provided via using nonlinear functional analysis and fixed point theory due to Banach.
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页数：12
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