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arXiv · 1103.5406

Fractional variational calculus for nondifferentiable functions

Ricardo Almeida·Delfim F. M. Torres
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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.

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Ricardo Almeida, Delfim F. M. Torres. 2011-03-28. Fractional variational calculus for nondifferentiable functions. https://doi.org/10.1016/j.camwa.2011.03.098

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