Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics
Joint Authors
Odzijewicz, Tatiana
Torres, Delfim F. M.
Malinowska, Agnieszka B.
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-13
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
We study fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives, generalized fractional integrals and derivatives.
We obtain necessary optimality conditions for the basic and isoperimetric problems, as well as natural boundary conditions for free-boundary value problems.
The fractional action-like variational approach (FALVA) is extended and some applications to physics discussed.
American Psychological Association (APA)
Odzijewicz, Tatiana& Malinowska, Agnieszka B.& Torres, Delfim F. M.. 2012. Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-505058
Modern Language Association (MLA)
Odzijewicz, Tatiana…[et al.]. Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics. Abstract and Applied Analysis No. 2012 (2012), pp.1-24.
https://search.emarefa.net/detail/BIM-505058
American Medical Association (AMA)
Odzijewicz, Tatiana& Malinowska, Agnieszka B.& Torres, Delfim F. M.. Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-505058
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505058