![](/images/graphics-bg.png)
Generalized Multiparameters Fractional Variational Calculus
Author
Source
International Journal of Differential Equations
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-38, 38 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-26
Country of Publication
Egypt
No. of Pages
38
Main Subjects
Abstract EN
This paper builds upon our recent paper on generalized fractional variational calculus (FVC).
Here, we briefly review some of the fractional derivatives (FDs) that we considered in the past to develop FVC.
We first introduce new one parameter generalized fractional derivatives (GFDs) which depend on two functions, and show that many of the one-parameter FDs considered in the past are special cases of the proposed GFDs.
We develop several parts of FVC in terms of one parameter GFDs.
We point out how many other parts could be developed using the properties of the one-parameter GFDs.
Subsequently, we introduce two new two- and three-parameter GFDs.
We introduce some of their properties, and discuss how they can be used to develop FVC.
In addition, we indicate how these formulations could be used in various fields, and how the generalizations presented here can be further extended.
American Psychological Association (APA)
Agrawal, Om Prakash. 2012. Generalized Multiparameters Fractional Variational Calculus. International Journal of Differential Equations،Vol. 2012, no. 2012, pp.1-38.
https://search.emarefa.net/detail/BIM-478372
Modern Language Association (MLA)
Agrawal, Om Prakash. Generalized Multiparameters Fractional Variational Calculus. International Journal of Differential Equations No. 2012 (2012), pp.1-38.
https://search.emarefa.net/detail/BIM-478372
American Medical Association (AMA)
Agrawal, Om Prakash. Generalized Multiparameters Fractional Variational Calculus. International Journal of Differential Equations. 2012. Vol. 2012, no. 2012, pp.1-38.
https://search.emarefa.net/detail/BIM-478372
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478372