On the fractional q-integral operators involving q-analogue of Mittag-Leffler function

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-04-24 DOI:10.1515/anly-2023-0107

Mulugeta Dawud Ali, D.L. Suthar

引用次数: 0

Abstract

This paper aims to derive the images of the product of the generalized q-analogue of Mittag-Leffler functions and the basic binomial function, under the fractional q-integral operators of Kober and Weyl type. The derived findings are of a general nature and include, as specific examples, the Weyl q-integral operator, the q-derivative operators, and the Riemann–Liouville q-integral operator.

查看原文本刊更多论文

论涉及米塔格-勒夫勒函数 q-analogue 的分数 q-integral 算子

本文旨在推导 Mittag-Leffler 函数的广义 q-analogue 与基本二项式函数的乘积在 Kober 和 Weyl 型分数 q-integral 算子下的图像。推导结果具有普遍性，具体包括韦尔 q 积分算子、q 衍算子和黎曼-刘维尔 q 积分算子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.