Fractional variational calculus for nondifferentiable functions

Details Fractional variational calculus for nondifferentiable functions Fractional variational calculus for nondifferentiable functions

2011-03-28

arxiv.org/abs/1103.5406v1

Comput. Math. Appl. 61 (2011), no. 10, 3097--3104

Mathematics

Optimization and Control

Submitted 13-Aug-2010; revised 24-Nov-2010; accepted 28-March-2011; for publication in Computers and Mathematics with Applicat

Scientific paper

10.1016/j.camwa.2011.03.098

We prove necessary optimality conditions, in the class of continuous
functions, for variational problems defined with Jumarie's modified
Riemann-Liouville derivative. The fractional basic problem of the calculus of
variations with free boundary conditions is considered, as well as problems
with isoperimetric and holonomic constraints.

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