Fractional Variational Calculus with Classical and Combined Caputo Derivatives
arXiv:1101.2932 · doi:10.1016/j.na.2011.01.010
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 are proved, as well as transversality conditions.
Submitted 30-Nov-2010; accepted 14-Jan-2011; for publication in Nonlinear Analysis Series A: Theory, Methods & Applications
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