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 …

Solving distributed-order fractional optimal control problems via the Fibonacci wavelet method

S Sabermahani, Y Ordokhani - Journal of Vibration and …, 2024 - journals.sagepub.com
A new approach to finding the approximate solution of distributed-order fractional optimal
control problems (DO FOCPs) is proposed. This method is based on Fibonacci wavelets …

Numerical solutions for distributed-order fractional optimal control problems by using generalized fractional-order Chebyshev wavelets

G Ghanbari, M Razzaghi - Nonlinear Dynamics, 2022 - Springer
This paper studies a numerical approach based on generalized fractional-order Chebyshev
wavelets for solving distributed-order fractional optimal control problems (DO-FOCPs). The …

Numerical investigation of distributed‐order fractional optimal control problems via Bernstein wavelets

P Rahimkhani, Y Ordokhani - Optimal Control Applications and …, 2021 - Wiley Online Library
The aim of this article is to investigate an efficient computational method for solving
distributed‐order fractional optimal control problems. In the proposed method, a new …

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 …

Social spider optimisation based identification and optimal control of fractional order system

SA Mehta, DM Adhyaru - International Journal of Modelling …, 2021 - inderscienceonline.com
Fractional order derivatives and integrals are infinite-dimensional operators and non-local in
time. Currently, the researchers are working on the solution of the fractional optimal control …

Numerical solutions for distributed-order fractional optimal control problems by using Müntz–Legendre wavelets

M Razzaghi, TN Vo - Proceedings of the Royal Society A, 2022 - royalsocietypublishing.org
In this paper, a numerical method using Münzt–Legendre wavelets for distributed-order
fractional optimal control problems (DO-FOCPs) is presented. We first give an exact formula …

Solving a class of fractional optimal control problems via a new efficient and accurate method

S Soradi-Zeid - Computational Methods for Differential Equations, 2021 - cmde.tabrizu.ac.ir
The present paper aims to get through a class of fractional optimal control problems
(FOCPs). Furthermore, the fractional derivative portrayed in the Caputo sense through the …

Numerical Simulation for Fractional Optimal Control Problems via Euler Wavelets

A Turan Dincel, SN Tural Polat, MO Afacan - Physica Scripta, 2024 - iopscience.iop.org
The study suggests employing Euler wavelets to provide a precise and effective
computational approach for certain fractional optimal control problems. The primary …

Bernoulli fractional differential equation solution using adomian decomposition method

MD Johansyah, AK Supriatna… - IOP Conference …, 2021 - iopscience.iop.org
Fractional calculus relates with derivatives, integrals, and differential equations of order not
integers. The Bernoulli Differential Equation is a form of the first-order ordinary differential …