Abstract and Applied Analysis

Fractional Cauchy Problem with Caputo Nabla Derivative on Time Scales

Jiang Zhu and Ling Wu

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Abstract

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 explicit solutions to homogeneous equations and nonhomogeneous equations are derived by using Laplace transform method.

Article information

Source
Abstr. Appl. Anal., Volume 2015, Special Issue (2015), Article ID 486054, 23 pages.

Dates
First available in Project Euclid: 15 June 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1434398645

Digital Object Identifier
doi:10.1155/2015/486054

Mathematical Reviews number (MathSciNet)
MR3339669

Zentralblatt MATH identifier
1355.34023

Citation

Zhu, Jiang; Wu, Ling. Fractional Cauchy Problem with Caputo Nabla Derivative on Time Scales. Abstr. Appl. Anal. 2015, Special Issue (2015), Article ID 486054, 23 pages. doi:10.1155/2015/486054. https://projecteuclid.org/euclid.aaa/1434398645


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