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 and evaluation of numerical tools for fractional calculus and fractional order controls

Z Li, L Liu, S Dehghan, YQ Chen… - International journal of …, 2017 - Taylor & Francis
In recent years, as fractional calculus becomes more and more broadly used in research
across different academic disciplines, there are increasing demands for the numerical tools …

[KNIHA][B] Local fractional integral transforms and their applications

XJ Yang, D Baleanu, HM Srivastava - 2015 - books.google.com
Local Fractional Integral Transforms and Their Applications provides information on how
local fractional calculus has been successfully applied to describe the numerous …

Fractional order fuzzy control of hybrid power system with renewable generation using chaotic PSO

I Pan, S Das - ISA transactions, 2016 - Elsevier
This paper investigates the operation of a hybrid power system through a novel fuzzy control
scheme. The hybrid power system employs various autonomous generation systems like …

Classification of ictal and seizure-free EEG signals using fractional linear prediction

V Joshi, RB Pachori, A Vijesh - Biomedical Signal Processing and Control, 2014 - Elsevier
In this paper, we present a new method for electroencephalogram (EEG) signal
classification based on fractional-order calculus. The method, termed fractional linear …

Modified fractional Euler method for solving fuzzy fractional initial value problem

M Mazandarani, AV Kamyad - Communications in Nonlinear Science and …, 2013 - Elsevier
In this paper, the solution to Fuzzy Fractional Initial Value Problem [FFIVP] under Caputo-
type fuzzy fractional derivatives by a modified fractional Euler method is presented. The …

On development of fractional calculus during the last fifty years

JAT Machado, AMSF Galhano, JJ Trujillo - Scientometrics, 2014 - Springer
On development of fractional calculus during the last fifty years | Scientometrics Skip to main
content SpringerLink Account Menu Find a journal Publish with us Track your research Search …

Analysis of a class of fractal hybrid fractional differential equation with application to a biological model

T Abdeljawad, M Sher, K Shah, M Sarwar, I Amacha… - Scientific Reports, 2024 - nature.com
Recently, the area devoted to fractional calculus has given much attention by researchers.
The reason behind such huge attention is the significant applications of the mentioned area …

Stability of fractional order systems

M Rivero, SV Rogosin… - Mathematical …, 2013 - Wiley Online Library
The theory and applications of fractional calculus (FC) had a considerable progress during
the last years. Dynamical systems and control are one of the most active areas, and several …

Real time implementation of fractional order PID controllers for a magnetic levitation plant

SK Swain, D Sain, SK Mishra, S Ghosh - AEU-International Journal of …, 2017 - Elsevier
Fractional calculus has been a topic of great interest for the last few decades. The
applications of fractional calculus can be found in the area of viscoelastic and chaotic …