Monotonicity, Concavity, and Convexity of Fractional Derivative of Functions
Joint Authors
Liu, Song
Zhang, Zhixin
Zhou, Xian-Feng
Wei, Jiang
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-31
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
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.
American Psychological Association (APA)
Zhou, Xian-Feng& Liu, Song& Zhang, Zhixin& Wei, Jiang. 2013. Monotonicity, Concavity, and Convexity of Fractional Derivative of Functions. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1033102
Modern Language Association (MLA)
Zhou, Xian-Feng…[et al.]. Monotonicity, Concavity, and Convexity of Fractional Derivative of Functions. The Scientific World Journal No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-1033102
American Medical Association (AMA)
Zhou, Xian-Feng& Liu, Song& Zhang, Zhixin& Wei, Jiang. Monotonicity, Concavity, and Convexity of Fractional Derivative of Functions. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1033102
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033102