Abstract

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.

Details

Title
Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivative
Author
Bushnaq, Samia 1 ; Sajjad Ali Khan 2 ; Shah, Kamal 2 ; Zaman, Gul 2 

 Department of Basic Sciences, Princess Sumaya University for Technology, Amman 11941, Jordan 
 Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan 
Publication year
2018
Publication date
Jan 2018
Publisher
Taylor & Francis Ltd.
e-ISSN
25742558
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
3218423846
Copyright
© 2018 The Author(s). This open access article is distributed under a Creative Commons Attribution (CC-BY) 4.0 license. This work is licensed under the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.