Fractional Variational Calculus with Classical and Combined Caputo Derivatives

Details Fractional Variational Calculus with Classical and Combined Caputo Derivatives Fractional Variational Calculus with Classical and Combined Caputo Derivatives

2011-01-15

arxiv.org/abs/1101.2932v1

Nonlinear Analysis 75 (2012), no. 3, 1507-1515

Mathematics

Optimization and Control

Submitted 30-Nov-2010; accepted 14-Jan-2011; for publication in Nonlinear Analysis Series A: Theory, Methods & Applications

Scientific paper

10.1016/j.na.2011.01.010

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.

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