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 …

On the fractional optimal control problems with a general derivative operator

A Jajarmi, D Baleanu - Asian Journal of Control, 2021 - Wiley Online Library
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 …

A method based on the Jacobi tau approximation for solving multi-term time–space fractional partial differential equations

AH Bhrawy, MA Zaky - Journal of Computational Physics, 2015 - Elsevier
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 …

An iterative approach for solving fractional optimal control problems

A Alizadeh, S Effati - Journal of Vibration and Control, 2018 - journals.sagepub.com
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 …

[HTML][HTML] A tau approach for solution of the space fractional diffusion equation

A Saadatmandi, M Dehghan - Computers & Mathematics with Applications, 2011 - Elsevier
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 …

A hybrid functions numerical scheme for fractional optimal control problems: application to nonanalytic dynamic systems

F Mohammadi, L Moradi, D Baleanu… - Journal of Vibration …, 2018 - journals.sagepub.com
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 …

The construction of operational matrix of fractional derivatives using B-spline functions

M Lakestani, M Dehghan… - … in Nonlinear Science and …, 2012 - Elsevier
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 …

Optimal control problems with Atangana‐Baleanu fractional derivative

H Tajadodi, A Khan… - Optimal Control …, 2021 - Wiley Online Library
In this paper, we study fractional‐order optimal control problems (FOCPs) involving the
Atangana‐Baleanu fractional derivative. A computational method based on B‐spline …

New aspects of time fractional optimal control problems within operators with nonsingular kernel

TA Yildiz, A Jajarmi, B Yildiz, D Baleanu - 2020 - earsiv.cankaya.edu.tr
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 …

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 …