The generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative
arXiv:1002.3790 · doi:10.1016/j.camwa.2010.02.032
Abstract
This paper presents necessary and sufficient optimality conditions for problems of the fractional calculus of variations with a Lagrangian depending on the free end-points. The fractional derivatives are defined in the sense of Caputo.
Accepted (19 February 2010) for publication in Computers and Mathematics with Applications
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Cited by in corpus (7)
- Discrete-Time Fractional Variational Problems
- Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
- Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics
- Fractional variational calculus for nondifferentiable functions
- Composition Functionals in Fractional Calculus of Variations
- Fractional Calculus on Time Scales
- Fractional Calculus of Variations for Double Integrals