Fractional Cauchy Problem with Caputo Nabla Derivative on Time Scales
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-16
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
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 nabladerivative are studied.
Also the explicit solutions to homogeneous equations and nonhomogeneous equations are derived by using Laplace transform method.
American Psychological Association (APA)
Zhu, Jiang& Wu, Ling. 2015. Fractional Cauchy Problem with Caputo Nabla Derivative on Time Scales. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-23.
https://search.emarefa.net/detail/BIM-1052058
Modern Language Association (MLA)
Zhu, Jiang& Wu, Ling. Fractional Cauchy Problem with Caputo Nabla Derivative on Time Scales. Abstract and Applied Analysis No. 2015 (2015), pp.1-23.
https://search.emarefa.net/detail/BIM-1052058
American Medical Association (AMA)
Zhu, Jiang& Wu, Ling. Fractional Cauchy Problem with Caputo Nabla Derivative on Time Scales. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-23.
https://search.emarefa.net/detail/BIM-1052058
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052058
