On solving fractional logistic population models with applications
From MaRDI portal
Publication:1715693
DOI10.1007/s40314-018-0693-4zbMath1413.34164OpenAlexW2889110506WikidataQ129268959 ScholiaQ129268959MaRDI QIDQ1715693
Publication date: 29 January 2019
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-018-0693-4
Jacobi polynomialsfractional differential equationsspectral methodsCaputo derivativelogistic population model
Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08)
Related Items
Numerical approximations to the nonlinear fractional-order logistic population model with fractional-order Bessel and Legendre bases ⋮ A comparative study of two Legendre-collocation schemes applied to fractional logistic equation ⋮ Fractional forward Kolmogorov equations in population genetics ⋮ Numerical solution of the fractional‐order logistic equation via the first‐kind Dickson polynomials and spectral tau method ⋮ Chebyshev spectral methods for multi-order fractional neutral pantograph equations ⋮ Approximation methods for solving fractional equations ⋮ A numerical treatment of the two-dimensional multi-term time-fractional mixed sub-diffusion and diffusion-wave equation ⋮ Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations ⋮ Non-polynomial quintic spline for solving fourth-order fractional boundary value problems involving product terms ⋮ Study on the existence and approximate solution of fractional differential equations with delay and its applications to financial models ⋮ An algorithm for the approximate solution of the fractional Riccati differential equation ⋮ COMPARISON OF VARIOUS FRACTIONAL BASIS FUNCTIONS FOR SOLVING FRACTIONAL-ORDER LOGISTIC POPULATION MODEL
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A super accurate shifted tau method for numerical computation of the Sobolev-type differential equation with nonlocal boundary conditions
- Some applications of fractional order calculus
- Dynamical analysis of fractional-order modified logistic model
- Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations
- A new Jacobi operational matrix: an application for solving fractional differential equations
- On a stochastic heat equation with first order fractional noises and applications to finance
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
- Operational tau method for singular system of Volterra integro-differential equations
- The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation
- Fractals and fractional calculus in continuum mechanics
- Exact solution to fractional logistic equation
- A note on the fractional logistic equation
- A new look at the fractionalization of the logistic equation
- A new operational matrix of Caputo fractional derivatives of Fermat polynomials: an application for solving the Bagley-Torvik equation
- A new fractional finite volume method for solving the fractional diffusion equation
- New numerical approach for fractional variational problems using shifted Legendre orthonormal polynomials
- Logistic map with memory from economic model
- Time-dependent fractional dynamics with memory in quantum and economic physics
- Tau approximation method for the weakly singular Volterra-Hammerstein integral equations
- Generalized Lucas polynomial sequence approach for fractional differential equations
- Solving fractional-order logistic equation using a new iterative method
- Numerical approximations for Volterra's population growth model with fractional order via a multi-domain pseudospectral method
- The construction of operational matrix of fractional integration using triangular functions
- Chaos in a fractional order logistic map
- Operational method for solving multi-term fractional differential equations with the generalized fractional derivatives
- The space-fractional diffusion-advection equation: analytical solutions and critical assessment of numerical solutions
- Numerical study of an adaptive domain decomposition algorithm based on Chebyshev tau method for solving singular perturbed problems
- New quadrature approach based on operational matrix for solving a class of fractional variational problems
- A new Legendre operational technique for delay fractional optimal control problems
- Fast and precise spectral method for solving pantograph type Volterra integro-differential equations
- On solving systems of multi-pantograph equations via spectral tau method
- Numerical solution of fractional telegraph equation by using radial basis functions
- Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions
- A tau method for the one-dimensional parabolic inverse problem subject to temperature overspecification
- On the fractional-order logistic equation
- On the numerical solution of a fractional population growth model
- A collocation method for numerical solutions of fractional-order logistic population model
- Numerical solutions of the initial value problem for fractional differential equations by modification of the Adomian decomposition method
- Numerical Solution for a Class of Linear System ofFractional Differential Equations by the HaarWaveletMethod and the Convergence Analysis
- Applications of Fractional Calculus to the Theory of Viscoelasticity
- Three Limit Cycles in a Leslie–Gower Predator-Prey Model with Additive Allee Effect
- Direct numerical method for isoperimetric fractional variational problems based on operational matrix
- Tau approximate solution of weakly singular Volterra integral equations with Legendre wavelet basis
