New estimates considering the generalized proportional Hadamard fractional integral operators

被引：0
|
作者：
Shuang-Shuang Zhou
Saima Rashid
Fahd Jarad
Humaira Kalsoom
Yu-Ming Chu
机构：
[1] Hunan City University,School of Science
[2] Government University,Department of mathematics
[3] Çankaya University,Department of Mathematics
[4] Zhejiang University,School of Mathematical Sciences
[5] Huzhou University,Department of Mathematics
[6] Changsha University of Science & Technology,Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering
来源：
Advances in Difference Equations | / 2020卷
关键词：
Grüss inequality; Fractional calculus; Generalized proportional Hadamard fractional integral operator; Riemann–Liouville fractional integral operator; 26D15; 26D10; 90C23; 26E60;
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学科分类号：
摘要：
In the article, we describe the Grüss type inequality, provide some related inequalities by use of suitable fractional integral operators, address several variants by utilizing the generalized proportional Hadamard fractional (GPHF) integral operator. It is pointed out that our introduced new integral operators with nonlocal kernel have diversified applications. Our obtained results show the computed outcomes for an exceptional choice to the GPHF integral operator with parameter and the proportionality index. Additionally, we illustrate two examples that can numerically approximate these operators.
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