Journal
CHAOS SOLITONS & FRACTALS
Volume 157, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2022.111937
Keywords
Fractal-fractional calculus; Covid-19 mathematical model; Existence of solution; Stability analysis; Numerical simulations
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In this article, a mathematical model for Covid-19 in the fractal-fractional sense of operators is studied, focusing on the existence of solution, Hyers-Ulam stability, and computational results. The model is qualitatively analyzed by converting it to an integral form and using iterative convergent sequence and fixed point approach. For the computational aspect, a numerical scheme based on Lagrange's interpolation is developed for the fractal-fractional waterborne model, and interesting results are obtained through a case study.
In this article, we are studying a Covid-19 mathematical model in the fractal-fractional sense of operators for the existence of solution, Hyers-Ulam (HU) stability and computational results. For the qualitative analysis, we convert the model to an equivalent integral form and investigate its qualitative analysis with the help of iterative convergent sequence and fixed point approach. For the computational aspect, we take help from the Lagrange's interpolation and produce a numerical scheme for the fractal-fractional waterborne model. The scheme is then tested for a case study and we obtain interesting results.(c) 2022 Published by Elsevier Ltd.
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