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Monotonicity, Concavity, and Convexity of Fractional Derivative of Functions

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...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Zhou, Xian-Feng, Liu, Song, Zhang, Zhixin, Jiang, Wei
Format: Artigo
Sprache:Inglês
Veröffentlicht: Hindawi Publishing Corporation 2013
Schlagworte:
Online Zugang:https://ncbi.nlm.nih.gov/pmc/articles/PMC3835843/
https://ncbi.nlm.nih.gov/pubmed/24302864
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1155/2013/605412
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