OPIAL-TYPE INEQUALITY ABOUT CONFORMABLE FRACTIONAL INTEGRALS AND THE APPLICATION

被引：0
|
作者：
Qi, Yongfang [1 ]
Li, Guoping [2 ]
Wang, Xiaoyuan [1 ]
机构：
[1] Pingxiang Univ, Dept Math, Pingxiang 337055, Jiangxi, Peoples R China
[2] Pingxiang Univ, Sci Res Planning Div, Pingxiang 337055, Jiangxi, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2021年 / 29卷 / 03期
关键词：
Opial-Type Inequality; Conformable; Hö lder’ s Inequality; Uniqueness; DIFFERENTIAL-EQUATIONS; STABILITY ANALYSIS;
D O I：
10.1142/S0218348X21500584
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we define partial conformable fractional derivative (PCFD) which is based on the fractional derivative definition proposed by Abdeljawad. At the same time, we present some simple properties about the definition, the properties are useful for us when we carry out further research. In addition, taking advantage of Holder's inequality, we establish Opial-type inequalities for the partial conformable fractional (PCF) integral. As an application, the uniqueness of the partial system with initial value is proved.
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页数：11
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