Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840743 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 9 Pages |
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.
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Authors
Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F.M. Torres,