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On solutions of an obesity model in the light of new type fractional derivatives

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  • Bonyah, Ebenezer
  • Akgül, Ali

Abstract

Obesity has become a serious problem in both developed and developing countries. In this work, we analyse the obesity model that involves three operators Caputo, Atangana–Baleanu in Caputo sense and fractal-fractional derivatives. The existence and uniqueness of the solution have been examined. The various numerical schemes have been presented for each operator. Many numerical analysis are carried out based on associated scheme to make meanings for the analytical analysis. Different fractional order values and fractal order values have been simulated. The fractal-fractional operator presents a unique dynamics of the Obesity model.

Suggested Citation

  • Bonyah, Ebenezer & Akgül, Ali, 2021. "On solutions of an obesity model in the light of new type fractional derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003106
    DOI: 10.1016/j.chaos.2021.110956
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    References listed on IDEAS

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    1. Ghanbari, Behzad & Günerhan, Hatıra & Srivastava, H.M., 2020. "An application of the Atangana-Baleanu fractional derivative in mathematical biology: A three-species predator-prey model," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    2. Sweilam, N.H. & AL - Mekhlafi, S.M. & Baleanu, D., 2021. "A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    3. Atangana, Abdon, 2017. "Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 396-406.
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