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Fractional Optimal Control Within Caputo’s Derivative
Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 2011A general formulation and solution of fractional optimal control problems (FOCPs) in terms of Caputo fractional derivatives (CFDs) of arbitrary order have been considered in this paper. The performance index (PI) of a FOCP is considered as a function of both the state and control.
Siddhartha Sen, Raj Kumar Biswas
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On Fractional Hamilton Formulation Within Caputo Derivatives
Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007The fractional Lagrangian and Hamiltonian dynamics is an important issue in fractional calculus area. The classical dynamics can be reformulated in terms of fractional derivatives. The fractional variational principles produce fractional Euler-Lagrange equations and fractional Hamiltonian equations.
Sami I. Muslih +2 more
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The Caputo Fractional Δ-Derivative on Time Scales
2018In this chapter we suppose that \(\mathbb {T}\) is a time scale with forward jump operator and delta differentiation operator σ and Δ, respectively.
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A Fast Algorithm for the Caputo Fractional Derivative
East Asian Journal on Applied Mathematics, 2018openaire +1 more source