使用多重埃尔德利-科贝尔分式积分算子的新不等式

IF 4.7 3区 材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC ACS Applied Electronic Materials 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。
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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
CiteScore
7.20
自引率
4.30%
发文量
567
期刊介绍: ACS Applied Electronic Materials is an interdisciplinary journal publishing original research covering all aspects of electronic materials. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrate knowledge in the areas of materials science, engineering, optics, physics, and chemistry into important applications of electronic materials. Sample research topics that span the journal's scope are inorganic, organic, ionic and polymeric materials with properties that include conducting, semiconducting, superconducting, insulating, dielectric, magnetic, optoelectronic, piezoelectric, ferroelectric and thermoelectric. Indexed/​Abstracted: Web of Science SCIE Scopus CAS INSPEC Portico
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