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RISAn approximate method for numerically solving multi-dimensional delay fractional optimal control problems by Bernstein polynomials
Abstract In this paper, we present a method for solving a class of fractional optimal control
problems with time delay. The method is based upon the Bernstein polynomial basis. The
main reason of using this ...
An approximate method for solving fractional TBVP with state delay by Bernstein polynomials
The current paper aims at investigating Fractional Hamiltonian Equations for a class of
fractional optimal control problems with time delay. Furthermore, we introduce a
method to solve the resulting two ...
Comments on “A discrete method to solve fractional optimal control problems” (Nonlinear Dyn, DOI:10.1007/s11071-014-1378-1)
In this note, we address a controversial issue in the paper entitled “A discrete method to solve fractional optimal control problems” published in the Journal of Nonlinear Dynamics with DOI,10.1007/s11071-014-1378-1 . We ...
A numerical approximation for solving the fractional-order Riccati equation
fractional derivative for fractional calculus.
Finally, by applying the collocation method, the Riccati equation leads to a system of algebraic equations that easily solvable. Some numerical examples show the efficiency and accuracy of the present method....
Modified Adomian decomposition method for solving fractional optimal control problems
In this study, we use the modified Adomian decomposition method to solve a class of fractional optimal control problems. The performance index of a
fractional optimal control problem is considered as a function of ...
A generalized Legendre–Gauss collocation method for solving nonlinear fractional differential equations with time varying delays
We introduce a new numerical plan for nonlinear autonomous fractional differential equations with time varying delay. Generalized Legendre polynomials and their properties are developed for deriving a general procedure for ...
Gegenbauer spectral method for time-fractional convection–diffusion equations with variable coefficients
In this paper, we study the numerical solution to time-fractional partial differential equations with variable coefficients that involve temporal Caputo derivative. A spectral method based on Gegenbauer polynomials is taken ...