Monotonicity, Concavity, and Convexity of Fractional Derivative of Functions. (31st October 2013)

• Record Type: Journal Article
• Authors: Zhou, Xian-Feng; Liu, Song; Zhang, Zhixin; Jiang, Wei
• Other Names: Li C. Academic Editor.; Liu F. Academic Editor.; Sikorskii A. Academic Editor.; Yuste S. B. Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2013(2013)
• Publication Date: 2013-10-31
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2013/605412
• Languages: English
• ISSNs: 2356-6140

Abstract

Abstract : 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.