A fractional B-spline collocation method for the numerical solution of fractional predator-prey models [PDF]
We present a collocation method based on fractional B-splines for the solution of fractional differential problems. The key-idea is to use the space generated by the fractional B-splines, i.e., piecewise polynomials of noninteger degree, as approximating
Pitolli, Francesca
core +1 more source
Exoskeleton Hand Control by Fractional Order Models [PDF]
This paper deals with the fractional order control for the complex systems, hand exoskeleton and sensors, that monitor and control the human behavior. The control laws based on physical significance variables, for fractional order models, with delays or without delays, are proposed and discussed.
Mircea Ivanescu +4 more
openaire +3 more sources
A Total Fractional-Order Variation Model for Image Restoration with Non-homogeneous Boundary Conditions and its Numerical Solution [PDF]
To overcome the weakness of a total variation based model for image restoration, various high order (typically second order) regularization models have been proposed and studied recently.
Chen, Ke, Zhang, Jianping
core +2 more sources
A new fractional-order compartmental disease model
In this paper, we propose a new SEIRS model and are concerned with stability and numerical solutions of the model. The model is generated under certain assumptions such as individuals are vaccinated or have a special treatment but do not carry lifelong ...
Luu Vu Cam Hoan +5 more
doaj +1 more source
First order plus frequency dependent delay modeling : new perspective or mathematical curiosity? [PDF]
The first-order-plus-dead-time model (FOPDT) is a popular simplified representation of higher order dynamics. However, a well known drawback is the rapid decrease of the frequency response accuracy with increasing process order.
Chevalier, Amélie +4 more
core +1 more source
Fractional-Order Modelling in Modelica [PDF]
Most dynamic systems with a basis in nature can be described using Differential-Algebraic Equations (DAE), and hence be modelled using the modelling language Modelica. However, the concept of DAEs can still be generalised, when differential operators of non-integer order are considered.
POLLOK, ALEXANDER JOSEF +2 more
openaire +3 more sources
Discrete maximal regularity of time-stepping schemes for fractional evolution equations [PDF]
In this work, we establish the maximal $\ell^p$-regularity for several time stepping schemes for a fractional evolution model, which involves a fractional derivative of order $\alpha\in(0,2)$, $\alpha\neq 1$, in time.
Jin, Bangti, Li, Buyang, Zhou, Zhi
core +2 more sources
Dynamics of a Fractional Order Eco-Epidemiological Model
In this paper, we propose a fractional order eco-epidemiological model. We considere the existence of time memory in the growth rate of the three populations.
Kartika Nugraheni +2 more
doaj +1 more source
In this paper, fractional order internal model control technique is formulated for non-ideal dc–dc buck and boost converter. The fractional order internal model control approach integrates the concept of Commande Robuste d’Ordre Non Entier principle for ...
Shivam Jain +4 more
doaj +1 more source
A Caputo Fabrizio fractional order model for control of glucose in insulin therapies for diabetes
Many fresh definitions of fractional derivatives have been suggested and used in recent years to produce mathematical models with memory, background, or non-local effects for a broad range of real-world structures.
M. Saleem +4 more
semanticscholar +1 more source

