King algorithm: A novel optimization approach based on variable-order fractional calculus with application in chaotic financial systems

S Soradi-Zeid, H Jahanshahi, A Yousefpour… - Chaos, Solitons & …, 2020 - Elsevier
In this study, a new optimization algorithm, called King, is introduced for solving variable
order fractional optimal control problems (VO-FOCPs). The variable order fractional …

Approximation methods for solving fractional optimal control problems

SS Zeid, S Effati, AV Kamyad - Computational and Applied Mathematics, 2018 - Springer
In this review paper, approximation methods for the free final time of fractional optimal
control problems (FOCPs) are displayed. The considered problems mainly include the …

A comprehensive review on fractional-order optimal control problem and its solution

A Abd-Elmonem, R Banerjee, S Ahmad… - Open …, 2023 - degruyter.com
This article presents a comprehensive literature survey on fractional-order optimal control
problems. Fractional-order differential equation is extensively used nowadays to model real …

Inverse problem for the Atangana–Baleanu fractional differential equation

S Ruhil, M Malik - Journal of Inverse and Ill-posed Problems, 2023 - degruyter.com
In this manuscript, we examine a fractional inverse problem of order 0< ρ< 1 in a Banach
space, including the Atangana–Baleanu fractional derivative in the Caputo sense. We use …

A collocation method using generalized Laguerre polynomials for solving nonlinear optimal control problems governed by integro-differential equations

S Soradi-Zeid, M Alipour - Journal of Computational and Applied …, 2024 - Elsevier
The Laguerre polynomials represent a new set of basic functions adopted to solve a class of
optimal control problems (OCP) specified by integro-differential equation namely IOCP. The …

Linear quadratic optimal control problem of fractional order continuous–time singular system

T Chiranjeevi, RK Biswas - Procedia Computer Science, 2020 - Elsevier
In this paper, formulation and an approximated numerical scheme for linear quadratic
optimal control problem (LQOCP) of fractional order singular system (FOSS) with fixed final …

RETRACTED: Optimal control of fractional order singular system

T Chiranjeevi, RK Biswas… - International Journal of …, 2023 - journals.sagepub.com
In this paper, a formulation and a solution of optimal control problem (OCP) of a class of
fractional order singular system are presented. The cost function is considered as quadratic …

[PDF][PDF] Fixed terminal time fractional optimal control problem for discrete time singular system

T Chiranjeevi, R Devarapalli, NR Babu… - Archives of Control …, 2022 - bibliotekanauki.pl
This paper presents the formulation and numerical simulation for linear quadratic optimal
control problem (LQOCP) of free terminal state and fixed terminal time fractional order …

Computational method based on reflection operator for solving a class of fractional optimal control problem

T Chiranjeevi, RK Biswas - Procedia Computer Science, 2020 - Elsevier
A computational method based on reflection operator and Grünwald-Letnikov (GL)
formulation for solving fractional optimal control problem (FOCP) of continuous-time singular …

Efficient radial basis functions approaches for solving a class of fractional optimal control problems

S Soradi-Zeid - Computational and Applied Mathematics, 2020 - Springer
The method of radial basis functions (RBFs) is a method of scattered data interpolation that
has many applications in different fields. Based on the RBFs approach, two simple and …