NUMERICAL SOLUTION FOR THE FRACTIONAL REPLICATOR EQUATION

DOI10.1142/S0129183105007698zbMath1080.65536OpenAlexW1965802924MaRDI QIDQ5700104

E. Ahmed, A. E. M. El-Mesiry, Ahmed M. A. El-Sayed, Hala A. A. El-Saka

Publication date: 27 October 2005

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129183105007698

zbMATH Keywords

predictor-corrector methodCaputo derivativefractional differential equationReplicator equationhawk-dove (HD) gamePrisoner's Dilemma (PD) game

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Fractional derivatives and integrals (26A33) Evolutionary games (91A22) General theory for ordinary differential equations (34A99)

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Cites Work

• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Detailed error analysis for a fractional Adams method
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Nonlinear functional differential equations of arbitrary orders
• Evolutionary Games and Population Dynamics
• Evolutionary game dynamics
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