Monotonicity, Concavity, and Convexity of Fractional Derivative of Functions

被引：4
|
作者：
Zhou, Xian-Feng [1 ]
Liu, Song [1 ]
Zhang, Zhixin [1 ]
Jiang, Wei [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R China
来源：
SCIENTIFIC WORLD JOURNAL | 2013年
关键词：
EXISTENCE; STABILITY;
D O I：
10.1155/2013/605412
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：
The monotonicity of the solutions of a class of nonlinear fractional differential equations is studied first, and the existing results were extended. Then we discuss monotonicity, concavity, and convexity of fractional derivative of some functions and derive corresponding criteria. Several examples are provided to illustrate the applications of our results.
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页数：6
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