Refereed journal article or data article (A1)

Fractal fractional derivative on chemistry kinetics hires problem




List of AuthorsAslam Muhammad, Farman Muhammad, Ahmad Hijaz, Gia Tuan Nguyen, Ahmad Aqeel, Askar Sameh

PublisherAMER INST MATHEMATICAL SCIENCES-AIMS

Publication year2022

JournalAIMS Mathematics

Journal name in sourceAIMS MATHEMATICS

Journal acronymAIMS MATH

Volume number7

Issue number1

Start page1155

End page1184

Number of pages30

eISSN2473-6988

DOIhttp://dx.doi.org/10.3934/math.2022068

URLhttps://www.aimspress.com/article/doi/10.3934/math.2022068

Self-archived copy’s web addresshttps://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.

Downloadable publication

This is an electronic reprint of the original article.
This reprint may differ from the original in pagination and typographic detail. Please cite the original version.




Last updated on 2023-28-11 at 08:24