Generalization of Fuzzy Laplace Transforms of Fuzzy Fractional Derivatives about the General Fractional Order n - 1 < β < n
Joint Authors
Haydar, Amal Khalaf
Hassan, Ruaa Hameed
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-06
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The main aim in this paper is to use all the possible arrangements of objects such that r 1 of them are equal to 1 and r 2 (the others) of them are equal to 2, in order to generalize the definitions of Riemann-Liouville and Caputo fractional derivatives (about order 0 < β < n ) for a fuzzy-valued function.
Also, we find fuzzy Laplace transforms for Riemann-Liouville and Caputo fractional derivatives about the general fractional order n - 1 < β < n under H-differentiability.
Some fuzzy fractional initial value problems (FFIVPs) are solved using the above two generalizations.
American Psychological Association (APA)
Haydar, Amal Khalaf& Hassan, Ruaa Hameed. 2016. Generalization of Fuzzy Laplace Transforms of Fuzzy Fractional Derivatives about the General Fractional Order n - 1 < β < n. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112446
Modern Language Association (MLA)
Haydar, Amal Khalaf& Hassan, Ruaa Hameed. Generalization of Fuzzy Laplace Transforms of Fuzzy Fractional Derivatives about the General Fractional Order n - 1 < β < n. Mathematical Problems in Engineering No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1112446
American Medical Association (AMA)
Haydar, Amal Khalaf& Hassan, Ruaa Hameed. Generalization of Fuzzy Laplace Transforms of Fuzzy Fractional Derivatives about the General Fractional Order n - 1 < β < n. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112446
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112446