New Fractional Dynamic Inequalities via Conformable Delta Derivative on Arbitrary Time Scales

被引：1

作者：

El-Deeb, Ahmed A. ^{[1
]}

Ahmad, Hijaz ^{[2
]}

Awrejcewicz, Jan ^{[3
]}

机构：

[1] Al Azhar Univ, Dept Math, Fac Sci, Cairo 11884, Egypt

[2] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy

[3] Lodz Univ Technol, Dept Automat Biomech & Mechatron, 1-15 Stefanowski St, PL-90924 Lodz, Poland

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 11期

关键词：

Steffensen's inequality; dynamic inequality; alpha-conformable calculus; time scale; STEFFENSEN-TYPE INEQUALITIES; CALCULUS;

D O I：

10.3390/sym13112049

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Building on the work of Josip Pecaric in 2013 and 1982 and on the work of Srivastava in 2017. We prove some new alpha-conformable dynamic inequalities of Steffensen-type on time scales. In the case when alpha=1, we obtain some well-known time scale inequalities due to Steffensen inequalities. For some specific time scales, we further show some relevant inequalities as special cases: alpha-conformable integral inequalities and alpha-conformable discrete inequalities. Symmetry plays an essential role in determining the correct methods to solve dynamic inequalities.

引用

页数：11

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