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A Discretization Method to Solve Fractional Variational Problems with Dependence on Hadamard Derivatives
Ricardo Almeida, Nuno R. O. Bastos, Delfim F. M. Torres
We provide a fast and simple method to solve fractional variational problems with dependence on Hadamard fractional derivatives. Using a relation between the Hadamard fractional op…
Necessary Optimality Conditions for Fractional Difference Problems of the Calculus of Variations
Nuno R. O. Bastos, Rui A. C. Ferreira, Delfim F. M. Torres
We introduce a discrete-time fractional calculus of variations. First and second order necessary optimality conditions are established. Examples illustrating the use of the new Eul…
Discrete-Time Fractional Variational Problems
Nuno R. O. Bastos, Rui A. C. Ferreira, Delfim F. M. Torres
We introduce a discrete-time fractional calculus of variations on the time scale , . First and second order necessary optimality conditions are established. Exa…