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An Analysis on the Fractional Asset Flow Differential Equations

Author

Listed:
  • Din Prathumwan

    (Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand)

  • Wannika Sawangtong

    (Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand
    Centre of Excellence in Mathematics, Commission on Higher Education, Ministry of Education, Si Ayutthaya Road, Bangkok 10400, Thailand)

  • Panumart Sawangtong

    (Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand)

Abstract

The asset flow differential equation (AFDE) is the mathematical model that plays an essential role for planning to predict the financial behavior in the market. In this paper, we introduce the fractional asset flow differential equations (FAFDEs) based on the Liouville-Caputo derivative. We prove the existence and uniqueness of a solution for the FAFDEs. Furthermore, the stability analysis of the model is investigated and the numerical simulation is accordingly performed to support the proposed model.

Suggested Citation

  • Din Prathumwan & Wannika Sawangtong & Panumart Sawangtong, 2017. "An Analysis on the Fractional Asset Flow Differential Equations," Mathematics, MDPI, vol. 5(2), pages 1-17, June.
    • Handle: RePEc:gam:jmathe:v:5:y:2017:i:2:p:33-:d:101739
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    References listed on IDEAS

    as
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