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

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

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 ar...

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Main Authors: Samia Bushnaq, Sajjad Ali Khan, Kamal Shah, Gul Zaman
Format: Article
Language:English
Published: Taylor & Francis Group 2018-01-01
Series:Cogent Mathematics & Statistics
Subjects:
hiv/aids model
caputo-fabrizio derivative
sumudu transform
existence and uniqueness
Online Access:http://dx.doi.org/10.1080/23311835.2018.1432521
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spelling doaj-1360dbe3df41450ebb3f7c40ac463abe2021-03-18T15:46:33ZengTaylor & Francis GroupCogent Mathematics & Statistics2574-25582018-01-015110.1080/23311835.2018.14325211432521Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivativeSamia Bushnaq0Sajjad Ali Khan1Kamal Shah2Gul Zaman3Princess Sumaya University for TechnologyUniversity of Malakand, Dir(L)University of Malakand, Dir(L)University of Malakand, Dir(L)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.http://dx.doi.org/10.1080/23311835.2018.1432521hiv/aids modelcaputo-fabrizio derivativesumudu transformexistence and uniqueness
collection DOAJ
language English
format Article
sources DOAJ
author Samia Bushnaq
Sajjad Ali Khan
Kamal Shah
Gul Zaman
spellingShingle Samia Bushnaq
Sajjad Ali Khan
Kamal Shah
Gul Zaman
Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivative
Cogent Mathematics & Statistics
hiv/aids model
caputo-fabrizio derivative
sumudu transform
existence and uniqueness
author_facet Samia Bushnaq
Sajjad Ali Khan
Kamal Shah
Gul Zaman
author_sort Samia Bushnaq
title Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivative
title_short Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivative
title_full Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivative
title_fullStr Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivative
title_full_unstemmed Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivative
title_sort mathematical analysis of hiv/aids infection model with caputo-fabrizio fractional derivative
publisher Taylor & Francis Group
series Cogent Mathematics & Statistics
issn 2574-2558
publishDate 2018-01-01
description 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.
topic hiv/aids model
caputo-fabrizio derivative
sumudu transform
existence and uniqueness
url http://dx.doi.org/10.1080/23311835.2018.1432521
work_keys_str_mv AT samiabushnaq mathematicalanalysisofhivaidsinfectionmodelwithcaputofabriziofractionalderivative
AT sajjadalikhan mathematicalanalysisofhivaidsinfectionmodelwithcaputofabriziofractionalderivative
AT kamalshah mathematicalanalysisofhivaidsinfectionmodelwithcaputofabriziofractionalderivative
AT gulzaman mathematicalanalysisofhivaidsinfectionmodelwithcaputofabriziofractionalderivative
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