Numerical approximations for Volterra's population growth model with fractional order via a multi-domain pseudospectral method

DOI10.1016/j.apm.2014.12.045zbMath1443.65442OpenAlexW2015206096MaRDI QIDQ2282894

Mohammad Maleki, Majid Tavassoli Kajani

Publication date: 20 December 2019

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.12.045

zbMATH Keywords

pseudospectral methodCaputo derivativefractional integro-differential equationshifted Legendre-Gauss pointsfractional Volterra's model

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Population dynamics (general) (92D25) Functional-differential equations with fractional derivatives (34K37)

Related Items (13)

On the numerical solution of a fractional population growth model ⋮ Solving Fredholm integral equation of the first kind using Gaussian process regression ⋮ Solving Volterra's population growth model of arbitrary order using the generalized fractional order of the Chebyshev functions ⋮ Well-posedness and EM approximations for non-Lipschitz stochastic fractional integro-differential equations ⋮ Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system ⋮ A method for solving nonlinear Volterra's population growth model of noninteger order ⋮ On solving fractional logistic population models with applications ⋮ A method for fractional Volterra integro-differential equations by Laguerre polynomials ⋮ Unnamed Item ⋮ Laguerre polynomial solutions of linear fractional integro-differential equations ⋮ A sinc-Gauss-Jacobi collocation method for solving Volterra's population growth model with fractional order ⋮ Iterative methods for a fractional-order Volterra population model ⋮ Stochastic fractional integro-differential equations with weakly singular kernels: well-posedness and Euler-Maruyama approximation

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