The role of fractional calculus in modeling biological phenomena: A review
This review provides the latest developments and trends in the application of fractional
calculus (FC) in biomedicine and biology. Nature has often showed to follow rather simple …
calculus (FC) in biomedicine and biology. Nature has often showed to follow rather simple …
On the fractional signals and systems
A look into fractional calculus and their applications from the signal processing point of view
is done in this paper. A coherent approach to the fractional derivative is presented, leading …
is done in this paper. A coherent approach to the fractional derivative is presented, leading …
[图书][B] Fractional calculus: models and numerical methods
D Baleanu - 2012 - books.google.com
The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …
differential operators including integrals and derivatives of any arbitrary real or complex …
Fractional-order circuits and systems: An emerging interdisciplinary research area
AS Elwakil - IEEE Circuits and Systems Magazine, 2010 - ieeexplore.ieee.org
A recent article published in this magazine has labeled fractional-order continuous-time
systems as the" 21st century systems". Indeed, this emerging research area is slowly gaining …
systems as the" 21st century systems". Indeed, this emerging research area is slowly gaining …
Anomalous diffusion expressed through fractional order differential operators in the Bloch–Torrey equation
Diffusion weighted MRI is used clinically to detect and characterize neurodegenerative,
malignant and ischemic diseases. The correlation between developing pathology and …
malignant and ischemic diseases. The correlation between developing pathology and …
Transfer functions of distributed parameter systems: A tutorial
R Curtain, K Morris - Automatica, 2009 - Elsevier
In this tutorial article the rich variety of transfer functions for systems described by partial-
differential equations is illustrated by means of several examples under various boundary …
differential equations is illustrated by means of several examples under various boundary …
Synchronization of different fractional order chaotic systems using active control
S Bhalekar, V Daftardar-Gejji - Communications in Nonlinear Science and …, 2010 - Elsevier
Synchronization of fractional order chaotic dynamical systems is receiving increasing
attention owing to its interesting applications in secure communications of analog and digital …
attention owing to its interesting applications in secure communications of analog and digital …
An introduction to the fractional continuous-time linear systems: the 21st century systems
MD Ortigueira - IEEE Circuits and Systems Magazine, 2008 - ieeexplore.ieee.org
A brief introduction to the fractional continuous-time linear systems is presented. It will be
done without needing a deep study of the fractional derivatives. We will show that the …
done without needing a deep study of the fractional derivatives. We will show that the …
On nonlinear fractional Klein–Gordon equation
AK Golmankhaneh, AK Golmankhaneh, D Baleanu - Signal Processing, 2011 - Elsevier
Numerical methods are used to find exact solution for the nonlinear differential equations. In
the last decades Iterative methods have been used for solving fractional differential …
the last decades Iterative methods have been used for solving fractional differential …
A new adaptive strategy to improve online secondary path modeling in active noise control systems using fractional signal processing approach
MS Aslam, MAZ Raja - Signal Processing, 2015 - Elsevier
In this paper, a new adaptive strategy based on fractional signal processing is proposed
using multi-directional step size fractional least mean square algorithm for online secondary …
using multi-directional step size fractional least mean square algorithm for online secondary …