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An efficient numerical method for fractional SIR epidemic model of infectious disease by using Bernstein wavelets
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 SIR model with unknown parameters. The SIR model is a system of differential …
Fractional derivatives applied to epidemiology
We seek investigate the use of fractional derivatives, both analytically and through
simulations. We present some models and perform investigations about them, starting with …
simulations. We present some models and perform investigations about them, starting with …
Mathematical analysis of fractional-order Caputo's derivative of coronavirus disease model via Laplace Adomian decomposition method
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 …
possibility of the virus reemerging in the future should not be disregarded, even if it has been …
Dynamical analysis of a novel discrete fractional SITRS model for COVID-19
In this paper, a discrete fractional Susceptible-Infected-Treatment-Recovered-Susceptible
(SITRS) model for simulating the coronavirus (COVID-19) pandemic is presented. The …
(SITRS) model for simulating the coronavirus (COVID-19) pandemic is presented. The …
On the analytical solution of fractional SIR epidemic model
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 …
residual power series method. We introduce the fractional SIR model in the sense of …
Approximate and Closed‐Form Solutions of Newell‐Whitehead‐Segel Equations via Modified Conformable Shehu Transform Decomposition Method
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 …
of conformable Newell‐Whitehead‐Segel (NWS) equations, which belong to the most …
A novel numerical technique for fractional ordinary differential equations with proportional delay
Some researchers have combined two powerful techniques to establish a new method for
solving fractional‐order differential equations. In this study, we used a new combined …
solving fractional‐order differential equations. In this study, we used a new combined …
Asymptotic analysis of SIR epidemic model with nonlocal diffusion and generalized nonlinear incidence functional
We aim in this research to determine the global stability of equilibrium states for an SIR
epidemic model with nonlocal diffusion and nonlinear incidence function in a …
epidemic model with nonlocal diffusion and nonlinear incidence function in a …
[HTML][HTML] Mathematical analysis and numerical investigation of advection-reaction-diffusion computer virus model
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 …
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
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 …
Auxiliary equation method for obtaining new optical soliton solutions of the discrete electrical …