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.
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页数：15
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