Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics
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 boundar...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/871912 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563459396468736 |
|---|---|
| author | Tatiana Odzijewicz Agnieszka B. Malinowska Delfim F. M. Torres |
| author_facet | Tatiana Odzijewicz Agnieszka B. Malinowska Delfim F. M. Torres |
| author_sort | Tatiana Odzijewicz |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-dd84fafada814b27900a92fbee7f1ba8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-dd84fafada814b27900a92fbee7f1ba82025-02-03T01:20:10ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/871912871912Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to PhysicsTatiana Odzijewicz0Agnieszka B. Malinowska1Delfim F. M. Torres2Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193 Aveiro, PortugalFaculty of Computer Science, Białystok University of Technology, 15-351 Białystok, PolandCenter for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193 Aveiro, PortugalWe 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.http://dx.doi.org/10.1155/2012/871912 |
| spellingShingle | Tatiana Odzijewicz Agnieszka B. Malinowska Delfim F. M. Torres Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics Abstract and Applied Analysis |
| title | Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics |
| title_full | Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics |
| title_fullStr | Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics |
| title_full_unstemmed | Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics |
| title_short | Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics |
| title_sort | fractional calculus of variations in terms of a generalized fractional integral with applications to physics |
| url | http://dx.doi.org/10.1155/2012/871912 |
| work_keys_str_mv | AT tatianaodzijewicz fractionalcalculusofvariationsintermsofageneralizedfractionalintegralwithapplicationstophysics AT agnieszkabmalinowska fractionalcalculusofvariationsintermsofageneralizedfractionalintegralwithapplicationstophysics AT delfimfmtorres fractionalcalculusofvariationsintermsofageneralizedfractionalintegralwithapplicationstophysics |