Refereed journal article or data article (A1)

Fractal fractional derivative on chemistry kinetics hires problem




List of Authors: Aslam Muhammad, Farman Muhammad, Ahmad Hijaz, Gia Tuan Nguyen, Ahmad Aqeel, Askar Sameh

Publisher: AMER INST MATHEMATICAL SCIENCES-AIMS

Publication year: 2022

Journal: AIMS Mathematics

Journal name in source: AIMS MATHEMATICS

Journal acronym: AIMS MATH

Volume number: 7

Issue number: 1

Number of pages: 30

eISSN: 2473-6988

DOI: http://dx.doi.org/10.3934/math.2022068

URL: https://www.aimspress.com/article/doi/10.3934/math.2022068

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/68549879


Abstract
In this work, we construct the fractional order model for chemical kinetics issues utilizing novel fractal operators such as fractal fractional by using generalized Mittag-Leffler Kernel. To overcome the constraints of the traditional Riemann-Liouville and Caputo fractional derivatives, a novel notion of fractional differentiation with non-local and non-singular kernels was recently presented. Many scientific conclusions are presented in the study, and these results are supported by effective numerical results. These findings are critical for solving the nonlinear models in chemical kinetics. These concepts are very important to use for real life problems like brine tank cascade, recycled brine tank cascade, pond pollution, home heating and biomass transfer problem. Many scientific results are presented in the paper also prove these results by effective numerical results. These results are very important for solving the nonlinear model in chemistry kinetics which will be helpful to understand the chemical reactions and its actual behavior; also the observation can be developed for future kinematic chemical reactions with the help of these results.

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Last updated on 2022-04-07 at 08:52