Fractional variational calculus for nondifferentiable functions

  • Authors:
  • Ricardo Almeida;Delfim F. M. Torres

  • Affiliations:
  • -;-

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2011

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Abstract

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.