Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

English (EN)·Polski (PL)·Yкраїнський (UK)
Przejdź do strony domowej biblioteki Centralna Biblioteka Wojskowa Link otwiera się w nowym oknie Logo biblioteki Prolib Integro - strona głównaCentralna Biblioteka Wojskowa

Wyszukujesz frazę "Fractional calculus" wg kryterium: Temat

  Lista filtrów
Wyrównaj
Wyświetlanie 1-15 z 88
Tytuł:
Positive integrable solutions for nonlinear integral and differential inclusions of fractional-orders
Autorzy:
Al-Issa, Shorouk
El-Sayed, Ahmed Mohamed Ahmed
Powiązania:
https://bibliotekanauki.pl/articles/746526.pdf
Data publikacji:
2009
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
integral inclusion
fractional-calculus
Caratheodory condition
differential inclusion
fixed point theorem
Opis:
In this paper we study the global existence of positive integrable solution for the nonlinear integral inclusion of fractional order \[ x(t) \in p(t) + I^\alpha F_1 (t, I^\beta f_2 (t, x(\varphi(t)))),\quad t \in (0, 1). \] As an application the global existence of the solution for the initial-value problem of the arbitrary (fractional) orders differential inclusion \[ \frac{dx(t)}{dt}\in p(t)+ I^\alphaF_1(t,D^\gammax(t))),\quad \text{a.e.}\ t gt 0 \] will be studied.
Źródło:
Commentationes Mathematicae; 2009, 49, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Different linear control laws for fractional chaotic maps using Lyapunov functional
Autorzy:
Almatroud, A. Othman
Ouannas, Adel
Grassi, Giuseppe
Batiha, Iqbal M.
Gasri, Ahlem
Al-sawalha, M. Mossa
Powiązania:
https://bibliotekanauki.pl/articles/2083459.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
discrete fractional calculus
chaotic map
linear control
Lyapunov method
Opis:
Dynamics and control of discrete chaotic systems of fractional-order have received considerable attention over the last few years. So far, nonlinear control laws have been mainly used for stabilizing at zero the chaotic dynamics of fractional maps. This article provides a further contribution to such research field by presenting simple linear control laws for stabilizing three fractional chaotic maps in regard to their dynamics. Specifically, a one-dimensional linear control law and a scalar control law are proposed for stabilizing at the origin the chaotic dynamics of the Zeraoulia-Sprott rational map and the Ikeda map, respectively. Additionally, a two-dimensional linear control law is developed to stabilize the chaotic fractional flow map. All the results have been achieved by exploiting new theorems based on the Lyapunov method as well as on the properties of the Caputo h-difference operator. The relevant simulation findings are implemented to confirm the validity of the established linear control scheme.
Źródło:
Archives of Control Sciences; 2021, 31, 4; 765-780
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the existence of optimal consensus control for the fractional Cucker-Smale model
Autorzy:
Almeida, R.
Kamocki, R.
Malinowska, A. B.
Odzijewicz, T.
Powiązania:
https://bibliotekanauki.pl/articles/1409211.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional calculus
fractional differential systems
flocking model
consensus
optimal control
Opis:
This paper addresses the nonlinear Cucker-Smale optimal control problem under the interplay of memory effect. The aforementioned effect is included by employing the Caputo fractional derivative in the equation representing the velocity of agents. Sufficient conditions for the existence of solutions to the considered problem are proved and the analysis of some particular problems is illustrated by two numerical examples.
Źródło:
Archives of Control Sciences; 2020, 30, 4; 625-651
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Recursive set membership estimation for output-error fractional models with unknown-but-bounded errors
Autorzy:
Amairi, M.
Powiązania:
https://bibliotekanauki.pl/articles/331145.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fractional calculus
set membership
estimation
unknown but bounded error
układ niecałkowitego rzędu
zbiór estymacyjny
błąd ograniczony
Opis:
This paper presents a new formulation for set-membership parameter estimation of fractional systems. In such a context, the error between the measured data and the output model is supposed to be unknown but bounded with a priori known bounds. The bounded error is specified over measurement noise, rather than over an equation error, which is mainly motivated by experimental considerations. The proposed approach is based on the optimal bounding ellipsoid algorithm for linear output-error fractional models. A numerical example is presented to show effectiveness and discuss results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 543-553
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A New Class of Fractional Cumulative Residual Entropy - Some Theoretical Results
Autorzy:
Benmahmoud, Slimane
Powiązania:
https://bibliotekanauki.pl/articles/2200956.pdf
Data publikacji:
2023
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
cumulative residual entropy (CRE)
entropy’s generating function
fractional calculus
information measure
Riemann-Liouville/Caputo fractional integral
Riemann-Liouville/Caputo fractional derivative
Tsallis/Rényi entropy
Opis:
In this paper, by differentiating the entropy’s generating function (i.e., h(t) = R SX̄F tX (x)dx) using a Caputo fractional-order derivative, we derive a generalized non-logarithmic fractional cumulative residual entropy (FCRE). When the order of differentiation α → 1, the ordinary Rao CRE is recovered, which corresponds to the results from first-order ordinary differentiation. Some properties and examples of the proposed FCRE are also presented.
Źródło:
Journal of Telecommunications and Information Technology; 2023, 1; 25--29
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wybrane zagadnienia z zakresu liniowych ciągłych układów niecałkowitego rzędu
Selected problems of continuous-time linear systems of non-integer order
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/275612.pdf
Data publikacji:
2010
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
rachunek różniczkowo-całkowy
rachunek niecałkowitego rzędu
differential-integral calculus
fractional calculus
Opis:
W pracy dokonano przeglądu wybranych zagadnień z zakresu rachunku niecałkowitego rzędu oraz teorii ciągłych układów liniowych stacjonarnych rzędu niecałkowitego, takich jak metody opisu, synteza regulatorów niecałkowitego rzędu, ich modelowanie oraz realizacja praktyczna, a także badanie stabilności układów regulacji. Rozważania zilustrowano przykładami liczbowymi.
The paper gives the review of the selected problems from calculus of non-integer order and theory of continuous-time linear systems of non-integer order such as description methods, synthesis of non-integer controllers, their modelling and practical realization and also stability checking of the control systems. The considerations are illustrated by examples.
Źródło:
Pomiary Automatyka Robotyka; 2010, 14, 2; 93-114
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fractional order model of measured quantity errors
Autorzy:
Cioć, R.
Chrzan, M.
Powiązania:
https://bibliotekanauki.pl/articles/200953.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional calculus
data processing
measured quantities errors
jitter
Opis:
The paper presents an interpretation of fractional calculus for positive and negative orders of functions based on sampled measured quantities and their errors connected with digital signal processing. The derivatives as a function limit and the Grunwald-Letnikov differintegral are shown in chapter 1 due to the similarity of the presented definition. Notation of fractional calculus based on the gradient vector of measured quantities and its geometrical and physical interpretation of positive and negative orders are shown in chapter 2 and 3.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 6; 1023-1030
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non-integer viscoelastic constitutive law to model soft biological tissues to in-vivo indentation
Autorzy:
Demirci, N.
Tönük, E.
Powiązania:
https://bibliotekanauki.pl/articles/307448.pdf
Data publikacji:
2014
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
rachunek niecałkowitego rzędu
tkanka miękka
lepkosprężystość
fractional calculus
indentation tests
inverse finite element analysis
soft tissue constitutive relation
viscoelasticity
Opis:
Purpose: During the last decades, derivatives and integrals of non-integer orders are being more commonly used for the description of constitutive behavior of various viscoelastic materials including soft biological tissues. Compared to integer order constitutive relations, non-integer order viscoelastic material models of soft biological tissues are capable of capturing a wider range of viscoelastic behavior obtained from experiments. Although integer order models may yield comparably accurate results, non-integer order material models have less number of parameters to be identified in addition to description of an intermediate material that can monotonically and continuously be adjusted in between an ideal elastic solid and an ideal viscous fluid.Methods: In this work, starting with some preliminaries on non-integer (fractional) calculus, the “spring-pot”, (intermediate mechanical element between a solid and a fluid), non-integer order three element (Zener) solid model, finally a user-defined large strain non-integer order viscoelastic constitutive model was constructed to be used in finite element simulations. Using the constitutive equation developed, by utilizing inverse finite element method and in vivo indentation experiments, soft tissue material identification was performed. Results: The results indicate that material coefficients obtained from relaxation experiments, when optimized with creep experimental data could simulate relaxation, creep and cyclic loading and unloading experiments accurately.Conclusions: Non-integer calculus viscoelastic constitutive models, having physical interpretation and modeling experimental data accurately is a good alternative to classical phenomenological viscoelastic constitutive equations.
Źródło:
Acta of Bioengineering and Biomechanics; 2014, 16, 4; 13-21
1509-409X
2450-6303
Pojawia się w:
Acta of Bioengineering and Biomechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Formulation of the simple Markovian model using fractional calculus approach and its application to analysis of queue behavior of severe patients
Autorzy:
Dhar, Soma
Mahanta, Lipi B.
Das, Kishore Kumar
Powiązania:
https://bibliotekanauki.pl/articles/1359228.pdf
Data publikacji:
2019-04-25
Wydawca:
Główny Urząd Statystyczny
Tematy:
fractional order
arrival rate
patients
fractional calculus
Opis:
In this paper, we introduce a fractional order of a simple Markovian model where the arrival rate of the patient is Poisson, i.e. independent of the patient size. Fraction is obtained by replacing the first order time derivative in the difference differential equations which govern the probability law of the process with the Mittag-Leffler function. We derive the probability distribution of the number N(t) of patients suffering from severe disease at an arbitrary time t. We also obtain the mean size (number) of the patients suffering from severe disease waiting for service at any given time t, in the form of E ν 0.5,0.5 (t), for different fractional values of server activity status, ν = 1,0.95,0.90 and for arrival rates α = β = 0.5. A numerical example is also evaluated and analysed by using the simple Markovian model with the help of simulation techniques.
Źródło:
Statistics in Transition new series; 2019, 20, 1; 117-129
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new numerical scheme for solving the two dimensional fractional diffusion equation
Autorzy:
Dilara, Altan Koç
Mustafa, Gülsu
Powiązania:
https://bibliotekanauki.pl/articles/1839848.pdf
Data publikacji:
2021
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
finite difference method
fractional calculus
numerical methods
metoda różnic skończonych
rachunek ułamkowy
metody numeryczne
Opis:
In this study, the locally one dimensional (LOD) method is used to solve the two dimensional time fractional diffusion equation. The fractional derivative is the Caputo fractional derivative of order α. The rate of convergence of the finite difference method is presented. It is seen that this method is in agreement with the obtained numerical solutions with acceptable central processing unit time (CPU time). Error estimates, numerical and exact results are tabulated. The graphics of errors are given.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2021, 20, 1; 5-16
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The use of a non-integer order PI controller with an active queue management mechanism
Autorzy:
Domański, A.
Domańska, J.
Czachórski, T.
Klamka, J.
Powiązania:
https://bibliotekanauki.pl/articles/331094.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
active queue management
PI controller
dropping packets
fractional calculus
aktywne zarządzanie kolejkami
regulator PI
pochodna ułamkowa
Opis:
In this paper the performance of a fractional order PI controller is compared with that of RED, a well-known active queue management (AQM) mechanism. The article uses fluid flow approximation and discrete-event simulation to investigate the influence of the AQM policy on the packet loss probability, the queue length and its variability. The impact of self-similar traffic is also considered.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 4; 777-789
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The IoT gateway with active queue management
Autorzy:
Domański, Adam
Domańska, Joanna
Czachórski, Tadeusz
Klamka, Jerzy
Szyguła, Jakub
Marek, Dariusz
Powiązania:
https://bibliotekanauki.pl/articles/1838178.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
active queue management
PI controller
dropping packets
fractional calculus
IoT gateway
aktywne zarządzanie kolejkami
regulator PI
pochodna ułamkowa
Internet Rzeczy
Opis:
As the traffic volume from various Internet of things (IoT) networks increases significantly, the need for adapting the quality of service (QoS) mechanisms to the new Internet conditions becomes essential. We propose a QoS mechanism for the IoT gateway based on packet classification and active queue management (AQM). End devices label packets with a special packet field (type of service (ToS) for IPv4 or traffic class (TC) for IPv6) and thus classify them as priority for real-time IoT traffic and non-priority for standard IP traffic. Our AQM mechanism drops only non-priority packets and thus ensures that real-time traffic packets for critical IoT systems are not removed if the priority traffic does not exceed the maximum queue capacity. This AQM mechanism is based on the PIα controller with non-integer integration order. We use fluid flow approximation and discrete event simulation to determine the influence of the AQM policy on the packet loss probability, queue length and its variability. The impact of the long-range dependent (LRD) traffic is also considered. The obtained results show the properties of the proposed mechanism and the merits of the PIα controller.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 1; 165-178
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Extended fractional calculus of variations, complexified geodesics and Wong’s fractional equations on complex plane and on Lie algebroids
Autorzy:
El-Nabulsi, Ahmad Rami
Powiązania:
https://bibliotekanauki.pl/articles/747310.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Extended fractional calculus
complex plane
complex Lie algebroids
Opis:
In this work, we communicate the topic of complex Lie algebroids based on the extended fractional calculus of variations in the complex plane. The complexified Euler-Lagrange geodesics and Wong’s fractional equations are derived. Many interesting consequences are explored.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2011, 65, 1
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a mixed-type integral equation and fractional-order functional differential equations
Autorzy:
El-Sayed, A. M. A.
Sherif, Nagwa
Ibrahim, I. A.
Powiązania:
https://bibliotekanauki.pl/articles/745693.pdf
Data publikacji:
2005
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Nonlinear functional integral equation
fractional calculus
Volterra operator
mixed type integral equation
Schauder fixed point theorem
Opis:
In this paper we study the existence of solution of a nonlinear integral equation of (mixed type) Volterra-Fredholm type. As an application we prove the existence of solution of an initial value problem of fractional order in the space of Lebesgue integrable functions on the interval \([0, 1]\).
Źródło:
Commentationes Mathematicae; 2005, 45, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Behaviour of fractional discrete-time consensus models with delays for summator dynamics
Autorzy:
Girejko, E.
Mozyrska, D.
Wyrwas, M.
Powiązania:
https://bibliotekanauki.pl/articles/201408.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional calculus
consensus
single-summator
double-summator
discrete-time models with delays
rachunek ułamkowy
konsensus
model dyskretny
opóźnienia
Opis:
The leader-following consensus problem of fractional-order multi-agent discrete-time systems with delays is considered. In the systems, interactions between agents are defined like in Krause and Cucker-Smale models, but the memory is included by taking both the fractional-order discrete-time operator on the left hand side of the nonlinear systems and the delays. Since in practical problems only bounded number of delays can be considered, we study the fractional order discrete-time models with a finite number of delays. The models of opinions under consideration are investigated for single- and double-summator dynamics of discrete-time by means of analytical methods as well as computer simulations.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 4; 403-410
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 88

Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies