Optimality Conditions for Fractional Variational Problems with  Dependence on a Combined Caputo Derivative of Variable Order

Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M.

http://hdl.handle.net/10400.8/3533

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Authors

Tavares, Dina

Almeida, Ricardo

Torres, Delfim F. M.

Abstract(s)

We establish necessary optimality conditions for variational problems with a Lagrangian depending on a combined Caputo derivative of variable fractional order. The endpoint of the integral is free, and thus transversality conditions are proved. Several particular cases are considered illustrating the new results.