(k, s)-Riemann-Liouville fractional integral and applications

被引：127
|
作者：
Sarikaya, Mehmet Zeki [1 ]
Dahmani, Zoubir [2 ]
Kiris, Mehmet Eyup [3 ]
Ahmad, Farooq [4 ]
机构：
[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey
[2] Univ Mostaganem, UMAB, Lab Pure & Appl Math, Mostaganem, Algeria
[3] Afyon Kocatepe Univ, Fac Sci & Arts, Dept Math, Afyon, Turkey
[4] Majmaah Univ, Colleege Sci, Dept Math, Al Zulfi, Saudi Arabia
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2016年 / 45卷 / 01期
关键词：
Riemann-Liouville fractional integrals; synchronous function; Chebyshev inequality; Holder inequality; INEQUALITIES;
D O I：
10.15672/HJMS.20164512484
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a new approach on fractional integration, which generalizes the Riemann-Liouville fractional integral. We prove some properties for this new approach. We also establish some new integral inequalities using this new fractional integration.
引用
收藏
页码：77 / 89
页数：13
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