使用多重埃尔德利-科贝尔分式积分算子的新不等式

IF 3.6 2区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractal and Fractional Pub Date : 2024-03-22 DOI:10.3390/fractalfract8040180

Asifa Tassaddiq, R. Srivastava, Rabab Alharbi, R. Kasmani, Sania Qureshi

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引用次数: 0

摘要

分式积分不等式在分式微积分学中的作用至关重要，可为最热门的科学领域开发新的模型和技术。从这一事实出发，我们利用多重埃尔德利-科贝尔（M-E-K）分数积分算子建立了闵科夫斯基分数不等式。我们还建立了其他几个新颖的分数积分不等式。与现有结果相比，这些分数积分不等式更加普遍和充实，足以创造出新的结果。M-E-K 分数积分算子以前曾用于其他目的，但从未应用于本文的主题。这些算子概括了一类流行的分数积分；因此，这种方法将为新的研究开辟一条途径。这些算子的智能特性促使我们利用它们研究更多的结果。

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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New Inequalities Using Multiple Erdélyi–Kober Fractional Integral Operators

The role of fractional integral inequalities is vital in fractional calculus to develop new models and techniques in the most trending sciences. Taking motivation from this fact, we use multiple Erdélyi–Kober (M-E-K) fractional integral operators to establish Minkowski fractional inequalities. Several other new and novel fractional integral inequalities are also established. Compared to the existing results, these fractional integral inequalities are more general and substantial enough to create new and novel results. M-E-K fractional integral operators have been previously applied for other purposes but have never been applied to the subject of this paper. These operators generalize a popular class of fractional integrals; therefore, this approach will open an avenue for new research. The smart properties of these operators urge us to investigate more results using them.

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来源期刊

Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

4.60

自引率

18.50%

发文量

632

审稿时长

11 weeks

期刊介绍： Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.