Certain new proportional and Hadamard proportional fractional integral inequalities

被引：0
|
作者：
Gauhar Rahman
Kottakkaran Sooppy Nisar
Thabet Abdeljawad
机构：
[1] Hazara University,Department of Mathematics and Statistics
[2] Prince Sattam bin Abdulaziz University,Department of Mathematics, College of Arts and Sciences
[3] Prince Sultan University,Department of Mathematics and General Sciences
[4] China Medical University,Department of Medical Research
[5] Asia University,Department of Computer Science and Information Engineering
来源：
Journal of Inequalities and Applications | / 2021卷
关键词：
Fractional integrals; Proportional fractional integrals; Hadamard proportional fractional integrals; Fractional integral inequalities; Chebyshev functional; 26A33; 26D10; 26D53;
D O I：
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学科分类号：
摘要：
The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions by employing proportional fractional integral (PFI) and Hadamard proportional fractional integral. We establish certain inequalities concerning one- and two-parameter proportional and Hadamard proportional fractional integrals. We also discuss certain particular cases.
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