Monotonicity, Concavity, and Convexity of Fractional Derivative of Functions

Joint Authors

Liu, Song
Zhang, Zhixin
Zhou, Xian-Feng
Wei, Jiang

Source

The Scientific World Journal

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