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

Author

Odzijewicz, Tatiana, Malinowska, Agnieszka B., and Torres, Delfim F. M.

Subjects
*FRACTIONAL calculus, *GENERALIZATION, *INTEGRALS, *LAGRANGIAN functions, *DERIVATIVES (Mathematics), *NUMERICAL solutions to boundary value problems
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2012
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