title: Monotonicity, concavity, and convexity of fractional derivative of functions.
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.
authors.affiliation: School of Mathematical Sciences, Anhui University, Hefei 230039, China.
authors.forename: Xian-Feng
authors.initials: XF
authors.lastname: Zhou
authors.forename: Song
authors.initials: S
authors.lastname: Liu
authors.forename: Zhixin
authors.initials: Z
authors.lastname: Zhang
authors.forename: Wei
authors.initials: W
authors.lastname: Jiang
mesh_terms: D055641:Mathematical Concepts; D015233:Models, Statistical; D017711:Nonlinear Dynamics