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Extensions in dynamic models of happiness: effect of memory

Author

Listed:
  • S. Sepehr Tabatabaei
  • Mohammad Javad Yazdanpanah
  • Sajad Jafari
  • Julien Clinton Sprott

Abstract

Due to its more dynamical richness, fractional calculus is used to derive a dynamic model of happiness in response to real life events and under different mental conditions. Previous models are extended by using fractional derivatives whose order may vary in time. This extension helps to describe memory-dependent behaviours. Since the proposed model is an extension of the former models, it includes all of their merits. As simulations show, the new model can be utilised to describe the effect of short-term memory on happiness when memory decays or is lost suddenly, similar to what happens in electroconvulsive therapy.

Suggested Citation

  • S. Sepehr Tabatabaei & Mohammad Javad Yazdanpanah & Sajad Jafari & Julien Clinton Sprott, 2014. "Extensions in dynamic models of happiness: effect of memory," International Journal of Happiness and Development, Inderscience Enterprises Ltd, vol. 1(4), pages 344-356.
    • Handle: RePEc:ids:ijhdev:v:1:y:2014:i:4:p:344-356
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    Citations

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    Cited by:

    1. Kumar, Pushpendra & Erturk, Vedat Suat & Murillo-Arcila, Marina, 2021. "A complex fractional mathematical modeling for the love story of Layla and Majnun," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    2. Tabatabaei, S. Sepehr & Dehghan, Mohammad Reza & Talebi, Heidar Ali, 2022. "Real-time prediction of soft tissue deformation; a non-integer order modeling scheme and a practical verification for the theoretical concept," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    3. G. Nava-Antonio & G. Fernández-Anaya & E. G. Hernández-Martínez & J. J. Flores-Godoy & E. D. Ferreira-Vázquez, 2019. "Consensus of Multiagent Systems Described by Various Noninteger Derivatives," Complexity, Hindawi, vol. 2019, pages 1-14, February.
    4. Tabatabaei, S. Sepehr & Talebi, H.A. & Tavakoli, M., 2017. "A novel adaptive order/parameter identification method for variable order systems application in viscoelastic soft tissue modeling," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 447-455.

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