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arXiv · 1402.3730

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

Ricardo Almeida·Nuno R. O. Bastos·Delfim F. M. Torres
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Abstract

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.

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Ricardo Almeida, Nuno R. O. Bastos, Delfim F. M. Torres. 2014-02-15. A Discretization Method to Solve Fractional Variational Problems with Dependence on Hadamard Derivatives. https://arxiv.org/abs/1402.3730

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