Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics

Details Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics

2012-03-08

arxiv.org/abs/1203.1961v1

Mathematics

Optimization and Control

Submitted 01/Jan/2012; revised 25/Feb/2012; accepted 27/Feb/2012; for publication in Abstract and Applied Analysis (http://w

Scientific paper

10.1155/2012/871912

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.

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