Fractional Inequalities Associated With a Generalized Mittag-Leffler Function and Applications

被引：4
|
作者：
Farid, Ghulam [1 ]
Mubeen, Shahid [2 ]
Set, Erhan [3 ]
机构：
[1] COMSATS Univ Islamabad, Dept Math, Attock Campus, Attock, Pakistan
[2] Univ Sargodha, Dept Math, Sargodha, Pakistan
[3] Ordu Univ, Fac Sci & Arts, Dept Math, Ordu, Turkey
来源：
FILOMAT | 2020年 / 34卷 / 08期
关键词：
Ostrowski inequality; Hadamard inequality; Mittag-Leffler function; Fractional integrals;
D O I：
10.2298/FIL2008683F
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Mittag-Leffler function is very useful in the theory of fractional differential equations. Ostrowski's inequality is very important in numerical computations and error analysis of numerical quadrature rules. In this paper, Ostrowski's inequality via generalized Mittag-Leffler function is established. In application point of view, bounds of fractional Hadamard's inequalities are straightforward consequences of these inequalities. The presented results are also contained in particular several fractional inequalities and have connection with some known and already published results.
引用
收藏
页码：2683 / 2692
页数：10
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