A new application of the homotopy analysis method in solving the fractional Volterra's population system.

DOI10.1007/S10492-014-0057-3zbMath1340.26016OpenAlexW2028885994MaRDI QIDQ464711

Reza Khoshsiar Ghaziani, Mehdi Ghasemi, Mojtaba Fardi

Publication date: 29 October 2014

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143775

zbMATH Keywords

fractional derivativesfractional integralsCaputo's fractional derivativehomotopy analysis methodbi-parametric homotopy methodconvergence regionfractional population modelVolterra's population system of fractional order

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Fractional derivatives and integrals (26A33)

Related Items (3)

Solving Volterra's population growth model of arbitrary order using the generalized fractional order of the Chebyshev functions ⋮ A method for solving nonlinear Volterra's population growth model of noninteger order ⋮ A sinc-Gauss-Jacobi collocation method for solving Volterra's population growth model with fractional order

Cites Work

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• Analytical approximations and Padé approximants for Volterra's population model
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Numerical approximations for population growth models
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• Vito Volterra and theoretical ecology
• Algorithms for the fractional calculus: a selection of numerical methods
• Classroom Note:Numerical and Analytical Solutions of Volterra's Population Model

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