Certain new proportional and Hadamard proportional fractional integral inequalities

Journal of inequalities and applications

Thabet Abdeljawad¹  Gauhar Rahman²  Kottakkaran Sooppy Nisar³ 

[1] Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Kingdom of Saudi Arabia;Department of Medical Research, China Medical University, 40402, Taichung, Taiwan;Department of Computer Science and Information Engineering, Asia University, 40402, Taichung, Taiwan;Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan;Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, 11991, Wadi Aldawser, Saudi Arabia;

关键词: Fractional integrals;    Proportional fractional integrals;    Hadamard proportional fractional integrals;    Fractional integral inequalities;    Chebyshev functional;    26A33;    26D10;    26D53;   

DOI  :  10.1186/s13660-021-02604-z

来源: Springer

【 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.

【 授权许可】

CC BY