A new direct method based on the Chebyshev cardinal functions for variable-order fractional optimal control problems

A comparative study of constant-order and variable-order fractional models in characterizing memory property of systems

HongGuang Sun, W. Chen, Hui Wei et al. · The European Physical Journal Special Topics · 2011 · 405 citations

Engineering, Mathematics, Dynamical Systems +5

A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems

Om P. Agrawal, Dumitru Bǎleanu · Journal of Vibration and Control · 2007 · 299 citations

Natural Sciences, Computational Engineering, Mathematics +16

Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives

Ricardo Almeida, Delfim F. M. Torres · Communications in Nonlinear Science and Numerical Simulation · 2010 · 236 citations · Full text

Natural Sciences, Mathematics, Derivatives +7

A Central Difference Numerical Scheme for Fractional Optimal Control Problems

Dumitru Bǎleanu, Özlem Defterli, Om P. Agrawal · Journal of Vibration and Control · 2009 · 198 citations

Natural Sciences, Computational Engineering, Mathematics +14

A numerical technique for solving fractional optimal control problems

A. Lotfi, Mehdi Dehghan, S. A. Yousefi · Computers & Mathematics with Applications · 2011 · 189 citations

Natural Sciences, Mathematics, Differential Equations +12