Application of the generalized q-Mittag-Leffler function to fractional q-kinetic equations via q-Shehu transform

IF 1.1 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Kuwait Journal of Science Pub Date : 2025-07-01 DOI:10.1016/j.kjs.2025.100451

Mulugeta Dawud Ali , D.L. Suthar

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引用次数: 0

Abstract

This paper investigates the properties and applications of

q

-Mittag-Leffler functions with five parameters within the framework of fractional

q

-kinetic equations. We study the essential properties of these functions using several

q

-calculus operators, including the

q

-Riemann–Liouville integral, generalized

q

-Weyl derivative operators, and

q

-transform such as the

q

-Mellin and

q

-Shehu transforms. An original method for addressing fractional

q

-kinetic equations involving generalized

q

-Mittag-Leffler functions is presented, which utilizes the

q

-Shehu transform, a generalization of the

q

-Laplace transform. Further, we state some significant and special cases of our main results. Finally, we present the obtained solutions in the form of numerical graphs using MATLAB 23 software.

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基于q-Shehu变换的广义q-Mittag-Leffler函数在分数阶q-动力学方程中的应用

本文研究了分数阶q-动力学方程框架下的五参数q-Mittag-Leffler函数的性质及其应用。利用q-Riemann-Liouville积分、广义q-Weyl导数算子和q- melin变换、q-Shehu变换等q-微积分算子研究了这些函数的基本性质。提出了一种包含广义q-Mittag-Leffler函数的分数阶q-动力学方程的原始求解方法，该方法利用了q-Laplace变换的推广q-Shehu变换。此外，我们还陈述了我们主要结果的一些重要和特殊情况。最后，利用MATLAB 23软件以数值图的形式给出了得到的解。

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

Kuwait Journal of Science MULTIDISCIPLINARY SCIENCES-

CiteScore

1.60

自引率

28.60%

发文量

132

期刊介绍： Kuwait Journal of Science (KJS) is indexed and abstracted by major publishing houses such as Chemical Abstract, Science Citation Index, Current contents, Mathematics Abstract, Micribiological Abstracts etc. KJS publishes peer-review articles in various fields of Science including Mathematics, Computer Science, Physics, Statistics, Biology, Chemistry and Earth & Environmental Sciences. In addition, it also aims to bring the results of scientific research carried out under a variety of intellectual traditions and organizations to the attention of specialized scholarly readership. As such, the publisher expects the submission of original manuscripts which contain analysis and solutions about important theoretical, empirical and normative issues.