Some Fractional Dynamic Inequalities of Hardy's Type via Conformable Calculus

被引：23

作者：

Saker, Samir ^{[1
]}

Kenawy, Mohammed ^{[2
]}

AlNemer, Ghada ^{[3
]}

Zakarya, Mohammed ^{[4
,5
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[2] Fayoum Univ, Fac Sci, Dept Math, Al Fayyum 63514, Egypt

[3] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 105862, Riyadh 11656, Saudi Arabia

[4] King Khalid Univ, Coll Sci, Dept Math, POB 9004, Abha 61413, Saudi Arabia

[5] Al Azhar Univ, Fac Sci, Dept Math, Assiut 71524, Egypt

来源：

MATHEMATICS | 2020年 / 8卷 / 03期

关键词：

fractional hardy's inequality; fractional bennett's inequality; fractional copson's inequality; fractional leindler's inequality; timescales; conformable fractional calculus; fractional holder inequality; 26A15; 26D10; 26D15; 39A13; 34A40; 34N05;

D O I：

10.3390/math8030434

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we prove some new fractional dynamic inequalities on time scales via conformable calculus. By using chain rule and Holder's inequality on timescales we establish the main results. When <mml:semantics>alpha =1</mml:semantics> we obtain some well-known time-scale inequalities due to Hardy, Copson, Bennett and Leindler inequalities.

引用

页数：15

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