分数微积分积分算子中的广义 Mittag-Leffler-confluent 超几何函数与数值解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-01 DOI:10.1016/j.jmaa.2024.128917

Firas Ghanim , Fareeha Sami Khan , Ali Hasan Ali , Abdon Atangana

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引用次数: 0

摘要

Mittag-Leffler 和汇合超几何函数最初是为了扩展指数函数及其应用领域而开发的。本研究旨在研究一些涉及内核中广义 Mittag-Leffler 型函数的算子，在特定情况下采用广义 Fox-Wright 函数。此外，我们还研究了分数微积分中一些常用的广义分数积分算子。此外，我们还开发了一种数值技术，用于求解线性和非线性分数微分方程。示例的图形结果显示了这种方法在求解分数微分方程方面的有效性。最后，深入研究了这些结果的各种影响和意义。

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Generalized Mittag-Leffler-confluent hypergeometric functions in fractional calculus integral operator with numerical solutions

The Mittag-Leffler and confluent hypergeometric functions were originally developed to extend the exponential function and its area of applications. This study aims to examine some operators involving generalized Mittag-Leffler-type functions in the kernels, employing the generalized Fox-Wright function in specific circumstances. Furthermore, we investigate some of the commonly utilized generalized fractional integral operators in fractional calculus. Moreover, a numerical technique is developed to solve fractional differential equations of both kinds, linear and nonlinear. The graphic results of the examples show how effective this method is at solving fractional differential equations. Lastly, various effects and implications of these results are thoroughly examined.

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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.