Modeling chickenpox disease with fractional derivatives: from Caputo to Atangana-Baleanu
DOI10.1016/j.chaos.2019.03.020zbMath1448.92331OpenAlexW2940183492MaRDI QIDQ2213569
Sania Qureshi, Abdullahi Yusuf
Publication date: 2 December 2020
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2019.03.020
least-squares methodnumerical simulationCaputo fractional derivativeCaputo-Fabrizio fractional derivativeAtangana-Baleanu fractional derivative
Epidemiology (92D30) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel
- Approximate analytical solution of the nonlinear fractional KdV-Burgers equation: a new iterative algorithm
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions
- On a fractional order Ebola epidemic model
- Generalized Taylor's formula
- Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel
- A fractional order pine wilt disease model with Caputo-Fabrizio derivative
- A new fractional analysis on the interaction of HIV with \(\text{CD4}^+\) T-cells
- A fractional model for the dynamics of TB virus
- A new fractional model for tuberculosis with relapse via Atangana-Baleanu derivative
- Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana-Baleanu fractional operator
- Atangana-Baleanu fractional approach to the solutions of Bagley-Torvik and Painlevé equations in Hilbert space
- Approximate solution of tuberculosis disease population dynamics model
- Modeling the transmission dynamics of Avian influenza with saturation and psychological effect
- The Mathematics of Infectious Diseases
- Fractional modeling of blood ethanol concentration system with real data application
- Numerical algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions
- Solutions of time‐fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space
- Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel
- Fractional differentiation matrices with applications
- Numerical Algorithm for the Solutions of Fractional Order Systems of Dirichlet Function Types with Comparative Analysis