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Fractional variational calculus with classical and combined Caputo derivatives
- Source :
-
Nonlinear Analysis . Feb2012, Vol. 75 Issue 3, p1507-1515. 9p. - Publication Year :
- 2012
-
Abstract
- Abstract: We give a proper fractional extension of the classical calculus of variations by considering variational functionals with a Lagrangian depending on a combined Caputo fractional derivative and the classical derivative. Euler–Lagrange equations to the basic and isoperimetric problems as well as transversality conditions are proved. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 75
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 67247414
- Full Text :
- https://doi.org/10.1016/j.na.2011.01.010