Fractal Fractional Derivative Models for Simulating Chemical Degradation in a Bioreactor

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-26 DOI:10.3390/axioms13030151

A. Akgül, J. A. Conejero

引用次数: 0

Abstract

A three-differential-equation mathematical model is presented for the degradation of phenol and p-cresol combination in a bioreactor that is continually agitated. The stability analysis of the model’s equilibrium points, as established by the study, is covered. Additionally, we used three alternative kernels to analyze the model with the fractal–fractional derivatives, and we looked into the effects of the fractal size and fractional order. We have developed highly efficient numerical techniques for the concentration of biomass, phenol, and p-cresol. Lastly, numerical simulations are used to illustrate the accuracy of the suggested method.

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模拟生物反应器中化学降解的分形微分模型

针对苯酚和对甲酚组合在持续搅拌的生物反应器中的降解过程，提出了一个三微分方程数学模型。研究还包括模型平衡点的稳定性分析。此外，我们使用了三种可供选择的内核来分析具有分形-分形导数的模型，并研究了分形大小和分形阶数的影响。我们针对生物质、苯酚和对甲酚的浓度开发了高效的数值技术。最后，我们使用数值模拟来说明所建议方法的准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.