Calculus of Variations with Classical and Fractional Derivatives

Details Calculus of Variations with Classical and Fractional Derivatives Calculus of Variations with Classical and Fractional Derivatives

2010-07-04

arxiv.org/abs/1007.0567v2

Math. Balkanica 26 (2012), no 1-2, 191--202

Mathematics

Optimization and Control

This is a preprint of a paper whose final and definite form has been published in: Math. Balkanica 26 (2012), no 1-2, 191--202

Scientific paper

We give a proper fractional extension of the classical calculus of variations. Necessary optimality conditions of Euler-Lagrange type for variational problems containing both classical and fractional derivatives are proved. The fundamental problem of the calculus of variations with mixed integer and fractional order derivatives as well as isoperimetric problems are considered.

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