New inequalities of Opial type for conformable fractional integrals

被引：36

作者：

Sarikaya, Mehmet Zeki ^{[1
]}

Budak, Huseyin ^{[1
]}

机构：

[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2017年 / 41卷 / 05期

关键词：

Opial inequality; Holder's inequality; conformable fractional integrals;

D O I：

10.3906/mat-1606-91

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, some Opial-type inequalities for conformable fractional integrals are obtained using the remainder function of Taylor's theorem for conformable integrals.

引用

页码：1164 / 1173

页数：10

共 16 条

[1] On conformable fractional calculus [J].

Abdeljawad, Thabet .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 279 :57-66

[2]

Abu Hammad M., 2014, Int. J. Differ. Equ. Appl., V13, P177

[3]

Anastassiou G., 2008, B GREEK MATH SOC, V55, P1

[4]

Anderson DR, CONTRIBUTIO IN PRESS

[5]

[Anonymous], 1960, Ann. Polon. Math.

[6]

[Anonymous], 2016, Progress in Fractional Differentiation and Applications, DOI DOI 10.18576/pfda/020204

[7] SOME GENERALIZED OPIAL-TYPE INEQUALITIES [J].

CHEUNG, WS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 162 (02) :317-321

[8] SOME NEW OPIAL-TYPE INEQUALITIES [J].

CHEUNG, WS .

MATHEMATIKA, 1990, 37 (73) :136-142

[9] A new definition of fractional derivative [J].

Khalil, R. ;

Al Horani, M. ;

Yousef, A. ;

Sababheh, M. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 264 :65-70

[10]

PACHPATTE B. G., 1993, DEMONSTRATIO MATH, V26, P643

← 1 2 →