Approximating solution of Fabrizio-Caputo Volterra's model for population growth in a closed system by homotopy analysis method

DOI10.1155/2018/3152502zbMath1384.92048OpenAlexW2784168186WikidataQ60199237 ScholiaQ60199237MaRDI QIDQ680375

Juan-Miguel Gracia

Publication date: 23 January 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/3152502

zbMATH Keywords

logistic equationhomotopy analysis methodCaputo-Fabrizio Volterra's model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Fractional ordinary differential equations (34A08)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of the Keller-Segel model with a fractional derivative without singular kernel
• Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel
• A note on fractional order derivatives and table of fractional derivatives of some special functions
• Three-point boundary value problems for conformable fractional differential equations
• Analytical approximations for a population growth model with fractional order
• An explicit, totally analytic approximate solution for Blasius' viscous flow problems
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Space-time fractional diffusion-advection equation with Caputo derivative
• Algorithms for the fractional calculus: a selection of numerical methods
• New Trends in Nanotechnology and Fractional Calculus Applications
• Fractional Calculus with Applications in Mechanics