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New estimates considering the generalized proportional Hadamard fractional integral operators

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成果类型:
期刊论文
作者:
Zhou, Shuang-Shuang;Rashid, Saima;Jarad, Fahd;Kalsoom, Humaira;Chu, Yu-Ming*
通讯作者:
Chu, Yu-Ming
作者机构:
[Zhou, Shuang-Shuang] Hunan City Univ, Sch Sci, Yiyang, Peoples R China.
[Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou, Peoples R China.
[Chu, Yu-Ming] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha, Peoples R China.
[Rashid, Saima] Govt Univ, Dept Math, Faisalabad, Pakistan.
[Jarad, Fahd] Cankaya Univ, Dept Math, Ankara, Turkey.
通讯机构:
[Chu, Yu-Ming] H
[Chu, Yu-Ming] C
Huzhou Univ, Dept Math, Huzhou, Peoples R China.
Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha, Peoples R China.
语种:
英文
关键词:
Fractional calculus;Generalized proportional Hadamard fractional integral operator;Grüss inequality;Riemann–Liouville fractional integral operator
期刊:
Advances in Difference Equations
ISSN:
1687-1847
年:
2020
卷:
2020
期:
1
页码:
1-15
基金类别:
The work was supported by the Natural Science Foundation of China (Grant Nos. 11971142, 61673169, 11871202, 11701176, 11626101, 11601485). Acknowledgements Availability of data and materials
机构署名:
本校为第一机构
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 tha...

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