99 citations · 255 across the 6 of their papers we have counts for
10 papers
Computational Methods in the Fractional Calculus of Variations and Optimal Control
Shakoor Pooseh
The fractional calculus of variations and fractional optimal control are generalizations of the corresponding classical theories, that allow problem modeling and formulations with…
Numerical Approximations to Fractional Problems of the Calculus of Variations and Optimal Control
Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres
This chapter presents some numerical methods to solve problems in the fractional calculus of variations and fractional optimal control. Although there are plenty of methods availab…
A numerical scheme to solve fractional optimal control problems
Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres
We review recent results obtained to solve fractional order optimal control problems with free terminal time and a dynamic constraint involving integer and fractional order derivat…
Fractional Order Optimal Control Problems with Free Terminal Time
Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres
We consider fractional order optimal control problems in which the dynamic control system involves integer and fractional order derivatives and the terminal time is free. Necessary…
Numerical Approximations of Fractional Derivatives with Applications
Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres
Two approximations, derived from continuous expansions of Riemann-Liouville fractional derivatives into series involving integer order derivatives, are studied. Using those series,…
Discrete Direct Methods in the Fractional Calculus of Variations
Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres
Finite differences, as a subclass of direct methods in the calculus of variations, consist in discretizing the objective functional using appropriate approximations for derivatives…