English

Calculus of variations with fractional derivatives and fractional integrals

Optimization and Control 2009-10-02 v1 Mathematical Physics math.MP

Abstract

We prove Euler-Lagrange fractional equations and sufficient optimality conditions for problems of the calculus of variations with functionals containing both fractional derivatives and fractional integrals in the sense of Riemann-Liouville.

Keywords

Cite

@article{arxiv.0907.1024,
  title  = {Calculus of variations with fractional derivatives and fractional integrals},
  author = {Ricardo Almeida and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:0907.1024},
  year   = {2009}
}

Comments

Accepted (July 6, 2009) for publication in Applied Mathematics Letters