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Numerical Solution For The Fractional Replicator Equation

Author

Listed:
  • E. AHMED

    (Mathematics Department, Faculty of Science, Mansoura University, Egypt)

  • A. M. A. EL-SAYED

    (Faculty of Science, Alexandria University, Alexandria, Egypt)

  • A. E. M. EL-MESIRY

    (Department of Mathematics, Damietta Faculty of Science, Mansoura University, New Damietta, Egypt)

  • H. A. A. EL-SAKA

    (Department of Mathematics, Damietta Faculty of Science, Mansoura University, New Damietta, Egypt)

Abstract

In this paper, we study the replicator equation for the hawk–dove (HD) and Prisoner's Dilemma (PD) games and generalized it to the fractional differential equation.

Suggested Citation

  • E. Ahmed & A. M. A. El-Sayed & A. E. M. El-Mesiry & H. A. A. El-Saka, 2005. "Numerical Solution For The Fractional Replicator Equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(07), pages 1017-1025.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:07:n:s0129183105007698
    DOI: 10.1142/S0129183105007698
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    Cited by:

    1. Rashid, Saima & Jarad, Fahd & Alsharidi, Abdulaziz Khalid, 2022. "Numerical investigation of fractional-order cholera epidemic model with transmission dynamics via fractal–fractional operator technique," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    2. Ahmed M. A. El-Sayed & Sheren A. Abd El-Salam & Hind H. G. Hashem, 2022. "Development on a Fractional Hybrid Differential Inclusion with a Nonlinear Nonlocal Fractional-Order Integral Inclusion," Mathematics, MDPI, vol. 10(21), pages 1-14, November.

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