A Discretization Method to Solve Fractional Variational Problems with Dependence on Hadamard Derivatives

نویسندگان

  • Ricardo Almeida
  • Nuno R. O. Bastos
  • Delfim F. M. Torres
  • Agnieszka B. Malinowska
  • F. M. Torres
چکیده

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 operator and a sum involving integer-order derivatives, we rewrite the fractional problem into a classical optimal control problem. The latter problem is then solved by application of standard numerical techniques. We illustrate the procedure with an example. AMS Subject Classifications: 26A33, 49M25.

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تاریخ انتشار 2014