[HTML][HTML] Solution of the fractional epidemic model by homotopy analysis method

OA Arqub, A El-Ajou - Journal of King Saud University-Science, 2013 - Elsevier
In this article, we investigate the accuracy of the homotopy analysis method (HAM) for
solving the fractional order problem of the spread of a non-fatal disease in a population. The …

Analysis of a fractional epidemic model by fractional generalised homotopy analysis method using modified Riemann-Liouville derivative

SR Saratha, GSS Krishnan, M Bagyalakshmi - Applied Mathematical …, 2021 - Elsevier
This paper proposes the notion of a fractional generalised integral transform (Fractional G-
transform) using modified Riemann-Liouville derivative with the Mittag-Leffler function as a …

[PDF][PDF] Approximate solution of a nonlinear fractional-order HIV model using homotopy analysis method.

PA Naik, M Ghoreishi, J Zu - International Journal of Numerical …, 2022 - math.ualberta.ca
In the present paper, we propose and analyze a nonlinear fractional-order SEIR (susceptible-
exposed-infected-recovered) epidemic model to transmit HIV. The fixed points of the model …

Analytical approximations for a population growth model with fractional order

H Xu - Communications in Nonlinear Science and Numerical …, 2009 - Elsevier
In this paper, we apply the homotopy analysis method (HAM) to solve the fractional
Volterra's model for population growth of a species in a closed system. This technique is …

[HTML][HTML] Solving a multi-order fractional differential equation using homotopy analysis method

H Jafari, S Das, H Tajadodi - Journal of King Saud University-Science, 2011 - Elsevier
Solving a multi-order fractional differential equation using homotopy analysis method -
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Solving a system of nonlinear fractional partial differential equations using homotopy analysis method

H Jafari, S Seifi - Communications in Nonlinear Science and Numerical …, 2009 - Elsevier
In this article, the homotopy analysis method (HAM) has been employed to obtain solutions
of a System of nonlinear fractional partial differential equations. This indicates the validity …

[HTML][HTML] Approximate analytical solutions of fractional reaction-diffusion equations

NA Khan, NU Khan, A Ara, M Jamil - Journal of King Saud University …, 2012 - Elsevier
The homotopy analysis method (HAM) of SJ Liao has proven useful in obtaining
analytical/numerical solutions to various nonlinear differential equations. In this work, the …

Solving smoking epidemic model of fractional order using a modified homotopy analysis transform method

P Veeresha, DG Prakasha, HM Baskonus - Mathematical Sciences, 2019 - Springer
The pivotal aim of the present work is to obtain an approximated analytical solution for the
fractional smoking epidemic model with the aid of a novel technique called q-homotopy …

Homotopy analysis method for solving a class of fractional partial differential equations

A Elsaid - Communications in Nonlinear Science and Numerical …, 2011 - Elsevier
In this paper, the homotopy analysis method is applied to obtain the solution of fractional
partial differential equations with spatial and temporal fractional derivatives in Riesz and …

Modeling of fractional‐order COVID‐19 epidemic model with quarantine and social distancing

M Farman, M Aslam, A Akgül… - Mathematical Methods in …, 2021 - Wiley Online Library
Different countries of the world are facing a serious pandemic of corona virus disease
(COVID‐19). One of the most typical treatments for COVID‐19 is social distancing, which …