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

Ebenezer Bonyah and Ali Akgül

Chaos, Solitons & Fractals, 2021, vol. 147, issue C

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.

Keywords: Obesity; Adams–Bashforth–Moulton; Fractal-fractional; Atangana–Baleanu–Caputo; Stability (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003106

DOI: 10.1016/j.chaos.2021.110956

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