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Fractional Cauchy Problem with Riemann-Liouville Derivative on Time Scales
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-11
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
∇-Laplace transform, fractional ∇-power function, ∇-Mittag-Leffler function, fractional ∇-integrals, and fractional ∇-differential on time scales are defined.
Some of their properties are discussed in detail.
After then, by using Laplace transform method, the existence of the solution and the dependency of the solution upon the initial value for Cauchy-type problem with the Riemann-Liouville fractional ∇-derivative are studied.
Also the explicit solutions to homogeneous equations and nonhomogeneous equations are derived by using Laplace transform method.
American Psychological Association (APA)
Wu, Ling& Zhu, Jiang. 2013. Fractional Cauchy Problem with Riemann-Liouville Derivative on Time Scales. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-23.
https://search.emarefa.net/detail/BIM-498787
Modern Language Association (MLA)
Wu, Ling& Zhu, Jiang. Fractional Cauchy Problem with Riemann-Liouville Derivative on Time Scales. Abstract and Applied Analysis No. 2013 (2013), pp.1-23.
https://search.emarefa.net/detail/BIM-498787
American Medical Association (AMA)
Wu, Ling& Zhu, Jiang. Fractional Cauchy Problem with Riemann-Liouville Derivative on Time Scales. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-23.
https://search.emarefa.net/detail/BIM-498787
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498787