An efficient numerical method for fractional SIR epidemic model of infectious disease by using Bernstein wavelets

S Kumar, A Ahmadian, R Kumar, D Kumar, J Singh… - Mathematics, 2020 - mdpi.com
In this paper, the operational matrix based on Bernstein wavelets is presented for solving
fractional SIR model with unknown parameters. The SIR model is a system of differential …

Fractional derivatives applied to epidemiology

NZ MONTEIRO, SR MAZORCHE - Trends in Computational and …, 2021 - SciELO Brasil
We seek investigate the use of fractional derivatives, both analytically and through
simulations. We present some models and perform investigations about them, starting with …

Dynamical analysis of a novel discrete fractional SITRS model for COVID-19

AMR Elsonbaty, Z Sabir, R Ramaswamy, W Adel - Fractals, 2021 - World Scientific
In this paper, a discrete fractional Susceptible-Infected-Treatment-Recovered-Susceptible
(SITRS) model for simulating the coronavirus (COVID-19) pandemic is presented. The …

On the analytical solution of fractional SIR epidemic model

A Qazza, R Saadeh - Applied Computational Intelligence and …, 2023 - Wiley Online Library
This article presents the solution of the fractional SIR epidemic model using the Laplace
residual power series method. We introduce the fractional SIR model in the sense of …

Mathematical analysis of fractional-order Caputo's derivative of coronavirus disease model via Laplace Adomian decomposition method

AO Yunus, MO Olayiwola, KA Adedokun… - Beni-Suef University …, 2022 - Springer
Background The world's survival ability has been threatened by the COVID-19 outbreak. The
possibility of the virus reemerging in the future should not be disregarded, even if it has been …

Approximate and Closed‐Form Solutions of Newell‐Whitehead‐Segel Equations via Modified Conformable Shehu Transform Decomposition Method

MI Liaqat, A Khan, MA Alam, MK Pandit… - Mathematical …, 2022 - Wiley Online Library
In this study, we introduced a novel scheme to attain approximate and closed‐form solutions
of conformable Newell‐Whitehead‐Segel (NWS) equations, which belong to the most …

[HTML][HTML] Mathematical analysis and numerical investigation of advection-reaction-diffusion computer virus model

N Shahid, MA Rehman, A Khalid, U Fatima, TS Shaikh… - Results in Physics, 2021 - Elsevier
In this article, a dynamical model with advection-diffusion, elucidating the transmission
process of disease infection type computer virus, is studied. Such kind of systems help to …

New optical soliton solutions of nolinear evolution equation describing nonlinear dispersion

S Owyed, MA Abdou, AH Abdel-Aty… - … in Theoretical Physics, 2019 - iopscience.iop.org
In this work, we examine two algorithm schemes, namely, Kudryashov expansion and
Auxiliary equation method for obtaining new optical soliton solutions of the discrete electrical …

Analysis of a fractional-order COVID-19 epidemic model with lockdown

D Denu, S Kermausuor - Vaccines, 2022 - mdpi.com
The outbreak of the coronavirus disease (COVID-19) has caused a lot of disruptions around
the world. In an attempt to control the spread of the disease among the population, several …

Toward computational algorithm for time-fractional Fokker–Planck models

A Freihet, S Hasan, M Alaroud… - Advances in …, 2019 - journals.sagepub.com
This article describes an efficient algorithm based on residual power series to approximate
the solution of a class of partial differential equations of time-fractional Fokker–Planck …