Theoretical and semi-analytical results to a biological model under Atangana-Baleanu-Caputo fractional derivative
DOI10.1186/s13662-020-03117-7zbMath1487.92056OpenAlexW3107659589MaRDI QIDQ2144123
Anwar Zeb, Ghazala Nazir, Ebraheem O. Alzahrani, Kamal Shah
Publication date: 1 June 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-03117-7
SIR modelfractional order differential equationAtangana-Baleanu-Caputo fractional derivativeLaplace Adomian decomposition method
Epidemiology (92D30) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)
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Cites Work
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- Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
- Solution of the epidemic model by homotopy perturbation method
- Pulse vaccination strategy in the SIR epidemic model
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A fractional-order infectivity SIR model
- SIR model for dengue disease with effect of dengue vaccination
- Analysis of the fractional diffusion equations with fractional derivative of non-singular kernel
- Comparison of deterministic and stochastic SIS and SIR models in discrete time
- Atangana-Baleanu fractional framework of reproducing kernel technique in solving fractional population dynamics system
- Existence and data dependence theorems for solutions of an ABC-fractional order impulsive system
- On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
- Atangana-Baleanu fractional approach to the solutions of Bagley-Torvik and Painlevé equations in Hilbert space
- A singular ABC-fractional differential equation with \(p\)-Laplacian operator
- Comparing vector-host and SIR models for dengue transmission
- Solution of the epidemic model by Adomian decomposition method
- Global dynamics of two heterogeneous SIR models with nonlinear incidence and delays
- Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu
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