The chronicles of fractional calculus

JAT Machado, V Kiryakova - Fractional Calculus and Applied …, 2017 - degruyter.com
Since the 60s of last century Fractional Calculus exhibited a remarkable progress and
presently it is recognized to be an important topic in the scientific arena. This survey …

A review of recent advances in fractional-order sensing and filtering techniques

CI Muresan, IR Birs, EH Dulf, D Copot, L Miclea - Sensors, 2021 - mdpi.com
The present manuscript aims at raising awareness of the endless possibilities of fractional
calculus applied not only to system identification and control engineering, but also into …

[HTML][HTML] Optimal control for a fractional tuberculosis infection model including the impact of diabetes and resistant strains

NH Sweilam, SM Al-Mekhlafi, D Baleanu - Journal of advanced research, 2019 - Elsevier
The objective of this paper is to study the optimal control problem for the fractional
tuberculosis (TB) infection model including the impact of diabetes and resistant strains. The …

An overview of mathematical modelling in cancer research: fractional calculus as modelling tool

LC Vieira, RS Costa, D Valério - Fractal and Fractional, 2023 - mdpi.com
Cancer is a complex disease, responsible for a significant portion of global deaths. The
increasing prioritisation of know-why over know-how approaches in biological research has …

FPGA implementation of fractional-order chaotic systems

DK Shah, RB Chaurasiya, VA Vyawahare… - … -International Journal of …, 2017 - Elsevier
This paper presents the digital implementation of fractional-order (FO) chaotic systems on
Field Programmable Gate Array (FPGA). In the proposed work Simulink model of each …

Recent history of the fractional calculus: Data and statistics

JAT Machado, V Kiryakova, A Kochubei… - Handbook of Fractional …, 2019 - degruyter.com
Fractional Calculus (FC) was a bright idea of Gottfried Leibniz originating in the end of the
seventeenth century. The topic was developed mainly in a mathematical framework, but …

Parameter identification for non integer order, state space models of heat plant

K Oprzedkiewicz, W Mitkowski… - 2016 21st International …, 2016 - ieeexplore.ieee.org
In the paper the parameter idetification problem for new, non integer order, state space
models of heat transfer process is presented. The solution of all proposed state equations …

Application of fractional order transfer functions to modeling of high—Order systems

K Oprzedkiewicz, W Mitkowski… - 2015 20th International …, 2015 - ieeexplore.ieee.org
Application of fractional order transfer functions to modeling of high — Order systems
Page 1 Application of fractional order transfer functions to modeling of high - order systems …

[图书][B] Fractional order modeling and control of multi-input-multi-output processes

Z Li - 2015 - search.proquest.com
Fractional calculus is a mathematical tool for augmenting conventional integrals and
derivatives. When introduced to control theory, it poses new opportunities and challenges for …

Optimal control of discrete-time linear fractional-order systems with multiplicative noise

JJ Trujillo, VM Ungureanu - International Journal of Control, 2018 - Taylor & Francis
ABSTRACT A finite horizon linear quadratic (LQ) optimal control problem is studied for a
class of discrete-time linear fractional systems (LFSs) affected by multiplicative, independent …