Fractional Cauchy Problem with Riemann-Liouville Fractional Delta Derivative on Time Scales
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-23
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
The Δ-power function and fractional Δ-integrals and fractional Δ-differential are defined, and then the definitions and properties of Δ-Mittag-Leffler function are given.
The properties of fractional Δ-integrals and fractional Δ-differential on time scales are discussed in detail.
After that, the existence of the solution and the dependency of the solution upon the initial value for Cauchy type problem with fractional Δ-derivative are studied.
Also the explicit solutions to homogeneous fractional Δ-differential equations and nonhomogeneous fractional Δ-differential equations are derived by using Laplace transform method.
American Psychological Association (APA)
Zhu, Jiang& Zhu, Ying. 2013. Fractional Cauchy Problem with Riemann-Liouville Fractional Delta Derivative on Time Scales. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-469113
Modern Language Association (MLA)
Zhu, Jiang& Zhu, Ying. Fractional Cauchy Problem with Riemann-Liouville Fractional Delta Derivative on Time Scales. Abstract and Applied Analysis No. 2013 (2013), pp.1-19.
https://search.emarefa.net/detail/BIM-469113
American Medical Association (AMA)
Zhu, Jiang& Zhu, Ying. Fractional Cauchy Problem with Riemann-Liouville Fractional Delta Derivative on Time Scales. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-469113
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469113