The generalized exponential rational function method for Radhakrishnan-Kundu-Lakshmanan equation with β-conformable time derivative

B Ghanbari, JF Gómez-Aguilar - Revista mexicana de física, 2019 - scielo.org.mx
In this paper, the generalized exponential rational function method is used to construct exact
solutions of the β conformable-time Radhakrishnan-Kundu-Lakshmanan equation. This …

Fractional-order Lagrange polynomials: an application for solving delay fractional optimal control problems

S Sabermahani, Y Ordokhani… - Transactions of the …, 2019 - journals.sagepub.com
The main purpose of this work is to provide an efficient method for solving delay fractional
optimal control problems (DFOCPs). Our method is based on fractional-order Lagrange …

[HTML][HTML] Modified Fractional Power Series Method for solving fractional partial differential equations

I Addai, B Barnes, IK Dontwi, KF Darkwah - Scientific African, 2024 - Elsevier
The literature revealed that the Fractional Power Series Method (FPSM), which uses the
Mittag-Leffler function in one parameter, has been gainfully applied in obtaining 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 …

A new operational matrix based on Boubaker wavelet for solving optimal control problems of arbitrary order

K Rabiei, Y Ordokhani - … of the Institute of Measurement and …, 2020 - journals.sagepub.com
This paper presents numerical solution for solving the nonlinear one and two-dimensional
optimal control problems of arbitrary order. First, we have constructed Boubaker wavelet for …

[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 …

Numerical solution for a class of fractional optimal control problems using the fractional-order Bernoulli functions

F Valian, Y Ordokhani, MA Vali - Transactions of the Institute …, 2022 - journals.sagepub.com
The main purpose of this paper is to provide an efficient method for solving some types of
fractional optimal control problems governed by integro-differential and differential …

A new optimal homotopy asymptotic method for fractional optimal control problems

OO Okundalaye, WAM Othman - International Journal of …, 2021 - Wiley Online Library
Solving fractional optimal control problems (FOCPs) with an approximate analytical method
has been widely studied by many authors, but to guarantee the convergence of the series …