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

Abstract and Applied Analysis

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

Mathematics

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