The peridynamic differential operator for solving time-fractional partial differential equations
VR Hosseini, W Zou - Nonlinear Dynamics, 2022 - Springer
In this paper, the numerical solution of time-fractional convection diffusion equations (TF-
CDEs) is considered as a generalization of classical ones, nonexponential relaxation …
CDEs) is considered as a generalization of classical ones, nonexponential relaxation …
On the fractional optimal control problems with a general derivative operator
This paper deals with a general form of fractional optimal control problems involving the
fractional derivative with singular or non‐singular kernel. The necessary conditions for the …
fractional derivative with singular or non‐singular kernel. The necessary conditions for the …
A method based on the Jacobi tau approximation for solving multi-term time–space fractional partial differential equations
In this paper, we propose and analyze an efficient operational formulation of spectral tau
method for multi-term time–space fractional differential equation with Dirichlet boundary …
method for multi-term time–space fractional differential equation with Dirichlet boundary …
An iterative approach for solving fractional optimal control problems
In this work, the variational iteration method (VIM) is used to solve a class of fractional
optimal control problems (FOCPs). New Lagrange multipliers are determined and some new …
optimal control problems (FOCPs). New Lagrange multipliers are determined and some new …
[HTML][HTML] A tau approach for solution of the space fractional diffusion equation
Fractional differentials provide more accurate models of systems under consideration. In this
paper, approximation techniques based on the shifted Legendre-tau idea are presented to …
paper, approximation techniques based on the shifted Legendre-tau idea are presented to …
A hybrid functions numerical scheme for fractional optimal control problems: application to nonanalytic dynamic systems
In this paper, a numerical scheme based on hybrid Chelyshkov functions (HCFs) is
presented to solve a class of fractional optimal control problems (FOCPs). To this end, by …
presented to solve a class of fractional optimal control problems (FOCPs). To this end, by …
The construction of operational matrix of fractional derivatives using B-spline functions
Fractional calculus has been used to model physical and engineering processes that are
found to be best described by fractional differential equations. For that reason we need a …
found to be best described by fractional differential equations. For that reason we need a …
Optimal control problems with Atangana‐Baleanu fractional derivative
In this paper, we study fractional‐order optimal control problems (FOCPs) involving the
Atangana‐Baleanu fractional derivative. A computational method based on B‐spline …
Atangana‐Baleanu fractional derivative. A computational method based on B‐spline …
New aspects of time fractional optimal control problems within operators with nonsingular kernel
This paper deals with a new formulation of time fractional optimal control problems governed
by Caputo-Fabrizio (CF) fractional derivative. The optimality system for this problem is …
by Caputo-Fabrizio (CF) fractional derivative. The optimality system for this problem is …
A Legendre collocation method for distributed-order fractional optimal control problems
MA Zaky - Nonlinear Dynamics, 2018 - Springer
In many dynamic processes, the fractional differential operators not only appear as discrete
fractional, but they also possess a continuous nature in a sense that their order is distributed …
fractional, but they also possess a continuous nature in a sense that their order is distributed …