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Fractional economic models based on market equilibrium in the frame of different type kernels

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  • Acay, Bahar
  • Bas, Erdal
  • Abdeljawad, Thabet

Abstract

Overall objectives of this paper are to investigate and analyze certain problems in economics by means of non-local fractional operators involving Caputo, Caputo–Fabrizio in the sense of Caputo (CFC), Caputo type Atangana–Baleanu (ABC) and ABC with generalized Mittag-Leffler kernel. By convention, above mentioned fractional operators refer to those beyond traditional differentiation and integration when applying to the economic models. Thereby, these fractional operators improve the comprehension of supply and demand and their interactions with price of commodity under the assumption that market is in equilibrium. Moreover, in order to observe the controversial subjects in market more detailed, we compare the results obtained by supporting with the simulation analysis.

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  • Acay, Bahar & Bas, Erdal & Abdeljawad, Thabet, 2020. "Fractional economic models based on market equilibrium in the frame of different type kernels," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    • Handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303844
    DOI: 10.1016/j.chaos.2019.109438
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    References listed on IDEAS

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    1. Takayama,Akira, 1985. "Mathematical Economics," Cambridge Books, Cambridge University Press, number 9780521314985, November.
    2. Al-Mdallal, Qasem M. & Abu Omer, Ahmed S., 2018. "Fractional-order Legendre-collocation method for solving fractional initial value problems," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 74-84.
    3. Abdeljawad, Thabet & Al-Mdallal, Qasem M. & Jarad, Fahd, 2019. "Fractional logistic models in the frame of fractional operators generated by conformable derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 94-101.
    4. Abdeljawad, Thabet, 2019. "Fractional difference operators with discrete generalized Mittag–Leffler kernels," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 315-324.
    5. Bas, Erdal & Ozarslan, Ramazan, 2018. "Real world applications of fractional models by Atangana–Baleanu fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 121-125.
    6. Cohen-Vernik, Dinah & Pazgal, Amit, 2017. "Price Adjustment Policy with Partial Refunds," Journal of Retailing, Elsevier, vol. 93(4), pages 507-526.
    7. Yavuz, Mehmet & Bonyah, Ebenezer, 2019. "New approaches to the fractional dynamics of schistosomiasis disease model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 373-393.
    8. Al-Mdallal, Qasem M., 2018. "On fractional-Legendre spectral Galerkin method for fractional Sturm–Liouville problems," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 261-267.
    9. Al-Refai, Mohammed & Jarrah, Abdulla M., 2019. "Fundamental results on weighted Caputo–Fabrizio fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 7-11.
    10. Owolabi, Kolade M. & Atangana, Abdon, 2019. "Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 41-49.
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    Cited by:

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