Modeling and numerical investigation of fractional‐order bovine babesiosis disease

2020 ◽  
Author(s):  
Aqeel Ahmad ◽  
Muhammad Farman ◽  
Parvaiz Ahmad Naik ◽  
Nayab Zafar ◽  
Ali Akgul ◽  
...  
Keyword(s):  
Numerical Investigation ◽  
Fractional Order ◽  
Bovine Babesiosis

scholarly journals Retraction Note: Fractional-order scheme for bovine babesiosis disease and tick populations

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Zain Ul Abadin Zafar ◽  
Kashif Rehan ◽  
M. Mushtaq
Keyword(s):  
Fractional Order ◽  
Bovine Babesiosis ◽  
Link Type ◽  
Order Scheme ◽  
Retraction Notice

This article has been retracted. Please see the Retraction Notice for more detail: 10.1186/s13662-021-03279-y

Numerical investigation for handling fractional-order Rabinovich–Fabrikant model using the multistep approach

2016 ◽  
Vol 22 (3) ◽  
pp. 773-782 ◽  
Author(s):  
Khaled Moaddy ◽  
Asad Freihat ◽  
Mohammed Al-Smadi ◽  
Eman Abuteen ◽  
Ishak Hashim
Keyword(s):  
Numerical Investigation ◽  
Fractional Order

scholarly journals A Fractional-Order Epidemic Model for Bovine Babesiosis Disease and Tick Populations

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
José Paulo Carvalho dos Santos ◽  
Lislaine Cristina Cardoso ◽  
Evandro Monteiro ◽  
Nelson H. T. Lemes
Keyword(s):  
Differential Equations ◽  
Fractional Order ◽  
Fractional Differential Equations ◽  
Epidemic Model ◽  
Equilibrium Points ◽  
Biological Behavior ◽  
Bovine Babesiosis ◽  
Comparison Theory ◽  
Linearization Theorem ◽  
Fractional Differential

This paper shows that the epidemic model, previously proposed under ordinary differential equation theory, can be generalized to fractional order on a consistent framework of biological behavior. The domain set for the model in which all variables are restricted is established. Moreover, the existence and stability of equilibrium points are studied. We present the proof that endemic equilibrium point when reproduction numberR0>1is locally asymptotically stable. This result is achieved using the linearization theorem for fractional differential equations. The global asymptotic stability of disease-free point, whenR0<1, is also proven by comparison theory for fractional differential equations. The numeric simulations for different scenarios are carried out and data obtained are in good agreement with theoretical results, showing important insight about the use of the fractional coupled differential equations set to model babesiosis disease and tick populations.

scholarly journals Numerical investigation of fractional-order unsteady natural convective radiating flow of nanofluid in a vertical channel

2019 ◽  
Vol 4 (5) ◽  
pp. 1416-1429 ◽  
Author(s):  
Muhammad Hamid ◽  
◽  
Tamour Zubair ◽  
Muhammad Usman ◽  
Rizwan Ul Huq ◽  
...  
Keyword(s):  
Numerical Investigation ◽  
Fractional Order ◽  
Vertical Channel

scholarly journals Numerical Investigation of Fractional-Order Swift–Hohenberg Equations via a Novel Transform

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1263
Author(s):  
Kamsing Nonlaopon ◽  
Abdullah M. Alsharif ◽  
Ahmed M. Zidan ◽  
Adnan Khan ◽  
Yasser S. Hamed ◽  
...  
Keyword(s):  
Fluid Dynamics ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Derivative ◽  
Numerical Investigation ◽  
Fractional Order ◽  
Thermal Convection ◽  
Formation Process ◽  
Decomposition Method ◽  
Numerical Examples

In this paper, the Elzaki transform decomposition method is implemented to solve the time-fractional Swift–Hohenberg equations. The presented model is related to the temperature and thermal convection of fluid dynamics, which can also be used to explain the formation process in liquid surfaces bounded along a horizontally well-conducting boundary. In the Caputo manner, the fractional derivative is described. The suggested method is easy to implement and needs a small number of calculations. The validity of the presented method is confirmed from the numerical examples. Illustrative figures are used to derive and verify the supporting analytical schemes for fractional-order of the proposed problems. It has been confirmed that the proposed method can be easily extended for the solution of other linear and non-linear fractional-order partial differential equations.

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