Optimal control of a linear time-invariant space–time fractional diffusion process

N Özdemir, D Avcι - Journal of Vibration and Control, 2014 - journals.sagepub.com
This paper presents a formulation and numerical solutions of an optimal control problem of a
linear time-invariant space–time fractional diffusion equation. The main aim of this …

Fractional optimal control of diffusive transport acting on a spherical region

D Avci, N Ozdemir, M Yavuz - Methods of mathematical modelling, 2019 - taylorfrancis.com
In this chapter, a spectral formulation is introducedfor a fractional optimal control problem
(FOCP) defined in spherical coordinates in the cases of half and complete axial symmetry …

Fractional optimal control problem of an axis-symmetric diffusion-wave propagation

N Özdemir, OP Agrawal, D Karadeniz… - Physica Scripta, 2009 - iopscience.iop.org
This paper presents the formulation of an axis-symmetric fractional optimal control problem
(FOCP). Dynamic characteristics of the system are defined in terms of the left and right …

[PDF][PDF] Axis-symmetric fractional diffusion-wave problem: Part I-Analysis

N OZDEMIR, BB ISKENDER, D KARADENIZ… - 2011 - lib.physcon.ru
This is part I of a two part paper on an axis-symmetric fractional diffusion-wave problem. In
this part we focus on the response of the system subjected to external excitation. We define …

A space–time pseudospectral discretization method for solving diffusion optimal control problems with two-sided fractional derivatives

MS Ali, M Shamsi, H Khosravian-Arab… - Journal of Vibration …, 2019 - journals.sagepub.com
We propose a direct numerical method for the solution of an optimal control problem
governed by a two-side space-fractional diffusion equation. The presented method contains …

Numerical solution for the linear time and space fractional diffusion equation

TS El Danaf - Journal of Vibration and Control, 2015 - journals.sagepub.com
In this paper, we consider the numerical resolution of a time and space fractional diffusion
equation. The main purpose of this work is to construct an efficient accurate numerical …

Fractional optimal control of distributed systems in spherical and cylindrical coordinates

MM Hasan, XW Tangpong… - Journal of Vibration and …, 2012 - journals.sagepub.com
This paper presents a general formulation and numerical scheme for the fractional optimal
control problem (FOCP) of distributed systems in spherical and cylindrical coordinates. The …

Time‐optimal control of systems with fractional dynamics

C Tricaud, YQ Chen - International Journal of Differential …, 2010 - Wiley Online Library
We introduce a formulation for the time‐optimal control problems of systems displaying
fractional dynamics in the sense of the Riemann‐Liouville fractional derivatives operator. To …

Cauchy and signaling problems for the time-fractional diffusion-wave equation

Y Luchko, F Mainardi - Journal of Vibration and …, 2014 - asmedigitalcollection.asme.org
In this paper, some known and novel properties of the Cauchy and signaling problems for
the one-dimensional time-fractional diffusion-wave equation with the Caputo fractional …

A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems

SS Ezz-Eldien, EH Doha, D Baleanu… - Journal of Vibration …, 2017 - journals.sagepub.com
The numerical solution of a fractional optimal control problem having a quadratic
performance index is proposed and analyzed. The performance index of the fractional …