Fractional Cauchy Problem with Caputo Nabla Derivative on Time Scales

The definition of Caputo fractional derivative is given and some of its properties are discussed in detail. After then, the existence of the solution and the dependency of the solution upon the initial value for Cauchy type problem with fractional Caputo nabla derivative are studied. Also the explic...

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Bibliographic Details
Main Authors: Jiang Zhu, Ling Wu
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/486054