$The multi-step homotopy analysis method for solving fractional-order model for HIV infection of CD4+T cells$
Código QR

The multi-step homotopy analysis method for solving fractional-order model for HIV infection of CD4+T cells

HIV infection of CD4+T cells is one of the causes of health problems and continues to be one of the significant health challenges. This paper presents approximate analytical solutions to the model of HIV infection of CD4+T cells of fractional order using the multi-step ho-motopy analysis method (MHA...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Handam,AH H., Freihat,Asad A., Zurigat,M.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2015
Materias:	Fractional-order Caputo fractional derivative multistep homotopy analysis HIV infection Differential equation
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000400001
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:scielo:S0716-09172015000400001
record_format	dspace
spelling	oai:scielo:S0716-091720150004000012016-10-25The multi-step homotopy analysis method for solving fractional-order model for HIV infection of CD4+T cellsHandam,AH H.Freihat,Asad A.Zurigat,M. Fractional-order Caputo fractional derivative multistep homotopy analysis HIV infection Differential equation HIV infection of CD4+T cells is one of the causes of health problems and continues to be one of the significant health challenges. This paper presents approximate analytical solutions to the model of HIV infection of CD4+T cells of fractional order using the multi-step ho-motopy analysis method (MHAM). The proposed scheme is only a simple modification of the homotopy analysis method (HAM), in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding problems. The fractional derivatives are described in the Caputo sense. A comparative study between the new algorithm and the classical Runge-Kutta method is presented in the case of integer-order derivatives. The solutions obtained are also presented graphically.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.34 n.4 20152015-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000400001en10.4067/S0716-09172015000400001
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Fractional-order Caputo fractional derivative multistep homotopy analysis HIV infection Differential equation
spellingShingle	Fractional-order Caputo fractional derivative multistep homotopy analysis HIV infection Differential equation Handam,AH H. Freihat,Asad A. Zurigat,M. The multi-step homotopy analysis method for solving fractional-order model for HIV infection of CD4+T cells
description	HIV infection of CD4+T cells is one of the causes of health problems and continues to be one of the significant health challenges. This paper presents approximate analytical solutions to the model of HIV infection of CD4+T cells of fractional order using the multi-step ho-motopy analysis method (MHAM). The proposed scheme is only a simple modification of the homotopy analysis method (HAM), in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding problems. The fractional derivatives are described in the Caputo sense. A comparative study between the new algorithm and the classical Runge-Kutta method is presented in the case of integer-order derivatives. The solutions obtained are also presented graphically.
author	Handam,AH H. Freihat,Asad A. Zurigat,M.
author_facet	Handam,AH H. Freihat,Asad A. Zurigat,M.
author_sort	Handam,AH H.
title	The multi-step homotopy analysis method for solving fractional-order model for HIV infection of CD4+T cells
title_short	The multi-step homotopy analysis method for solving fractional-order model for HIV infection of CD4+T cells
title_full	The multi-step homotopy analysis method for solving fractional-order model for HIV infection of CD4+T cells
title_fullStr	The multi-step homotopy analysis method for solving fractional-order model for HIV infection of CD4+T cells
title_full_unstemmed	The multi-step homotopy analysis method for solving fractional-order model for HIV infection of CD4+T cells
title_sort	multi-step homotopy analysis method for solving fractional-order model for hiv infection of cd4+t cells
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000400001
work_keys_str_mv	AT handamahh themultistephomotopyanalysismethodforsolvingfractionalordermodelforhivinfectionofcd4tcells AT freihatasada themultistephomotopyanalysismethodforsolvingfractionalordermodelforhivinfectionofcd4tcells AT zurigatm themultistephomotopyanalysismethodforsolvingfractionalordermodelforhivinfectionofcd4tcells AT handamahh multistephomotopyanalysismethodforsolvingfractionalordermodelforhivinfectionofcd4tcells AT freihatasada multistephomotopyanalysismethodforsolvingfractionalordermodelforhivinfectionofcd4tcells AT zurigatm multistephomotopyanalysismethodforsolvingfractionalordermodelforhivinfectionofcd4tcells
_version_	1718439807747620864

The multi-step homotopy analysis method for solving fractional-order model for HIV infection of CD4+T cells

Ejemplares similares