 Modeling and analysis of the polluted lakes system with various fractional approachesM.M. El-Dessoky Ahmed and Muhammad Altaf Khan Chaos, Solitons & Fractals, 2020, vol. 134, issue C Abstract: The purpose of this paper is to investigate the dynamics of the polluted lakes system through fractional derivative approach in the sense of fractal-fractional operator. Initially, we derive the model based on the assumptions and then apply the fractal-fractional operator. The model with fractal-fractional approach in the sense of Atangana–Baleanu derivative is considered. When, choosing the fractal order one we obtain fractional order, and when choosing the fractional order one a fractal system is obtained. Considering both the operators together we present a model with fractal-fractional. We present a novel numerical approach to solve the fractal-fractional system and then present the existence and uniqueness results for the system. We present various graphical results for the fractal and fractional operators and also for the fractal-fractional orders. The graphical results reveals the significance of the new operator to a practical problem in a better way. Keywords: Fractal-Fractional (FF) Operators; Polluted lakes system; Fractal derivative; Atangana-Baleanu derivative; Numerical results (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:134:y:2020:i:c:s0960077920301223 DOI: 10.1016/j.chaos.2020.109720 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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