Basic Theory for Differential Equations with Unified Reimann-Liouville and Hadamard Type Fractional Derivatives

In this paper, we extend the definition of the fractional integral and derivative introduced in [Appl. Math. Comput. 218 (2011)] by Katugampola, which exhibits nice properties only for numbers whose real parts lie in [0,1]. We prove some interesting properties of the fractional integrals and derivat...

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Bibliographic Details
Main Authors: Basak Karpuz, Umut M. Ozkan, Tugba Yalcin, Mustafa K. Yildiz
Format: Article
Language:English
Published: Etamaths Publishing 2017-03-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/1013