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Wyszukujesz frazę "fractional differential systems" wg kryterium: Temat

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    Wyświetlanie 1-5 z 5
    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:
    Quasilinearization method for finite systems of nonlinear RL fractional differential equations
    Autorzy:
    Denton, Zachary
    Ramirez, Juan Diego
    Powiązania:
    https://bibliotekanauki.pl/articles/1397341.pdf
    Data publikacji:
    2021
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    fractional differential systems
    lower and upper solutions
    quasilinearization method
    Opis:
    In this paper the quasilinearization method is extended to finite systems of Riemann-Liouville fractional differential equations of order 0 < q < 1. Existence and comparison results of the linear Riemann-Liouville fractional differential systems are recalled and modified where necessary. Using upper and lower solutions, sequences are constructed that are monotonic such that the weighted sequences converge uniformly and quadratically to the unique solution of the system. A numerical example illustrating the main result is given.
    Źródło:
    Opuscula Mathematica; 2020, 40, 6; 667-683
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Monotone method for Riemann-Liouville multi-order fractional differential systems
    Autorzy:
    Denton, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/254754.pdf
    Data publikacji:
    2016
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    fractional differential systems
    multi-order systems
    lower and upper solutions
    monotone method
    Opis:
    In this paper we develop the monotone method for nonlinear multi-order N-systems of Riemann-Liouville fractional differential equations. That is, a hybrid system of nonlinear equations of orders qi where 0 < qi < 1. In the development of this method we recall any needed existence results along with any necessary changes. Through the method's development we construct a generalized multi-order Mittag-Leffler function that fulfills exponential-like properties for multi-order systems. Further we prove a comparison result paramount for the discussion of fractional multi-order inequalities that utilizes lower and upper solutions of the system. The monotone method is then developed via the construction of sequences of linear systems based on the upper and lower solutions, and are used to approximate the solution of the original nonlinear multi-order system.
    Źródło:
    Opuscula Mathematica; 2016, 36, 2; 189-206
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Monotone iterative technique for finite systems of nonlinear Riemann-,Lliouville fractional differential equations
    Autorzy:
    Denton, Z.
    Vatsala, A.S.
    Powiązania:
    https://bibliotekanauki.pl/articles/255746.pdf
    Data publikacji:
    2011
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    fractional differential systems
    coupled lower and upper solutions
    mixed quasimonotone property
    Opis:
    Comparison results of the nonlinear scalar Riemann-Liouville fractional differential equation of order q, 0 < q ≤ 1, are presented without requiring Hölder continuity assumption. Monotone method is developed for finite systems of fractional differential equations of order q, using coupled upper and lower solutions. Existence of minimal and maximal solutions of the nonlinear fractional differential system is proved.
    Źródło:
    Opuscula Mathematica; 2011, 31, 3; 327-339
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    New perspectives of analog and digital simulations of fractional order systems
    Autorzy:
    Charef, A.
    Charef, M.
    Djouambi, A.
    Voda, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/229183.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    adjustable fractional operators
    Charef approximation
    fractional differential equation
    ractional integrator
    fractional systems
    Opis:
    In the recent decades, fractional order systems have been found to be useful in many areas of physics and engineering. Hence, their efficient and accurate analog and digital simulations and numerical calculations have become very important especially in the fields of fractional control, fractional signal processing and fractional system identification. In this article, new analog and digital simulations and numerical calculations perspectives of fractional systems are considered. The main feature of this work is the introduction of an adjustable fractional order structure of the fractional integrator to facilitate and improve the simulations of the fractional order systems as well as the numerical resolution of the linear fractional order differential equations. First, the basic ideas of the proposed adjustable fractional order structure of the fractional integrator are presented. Then, the analog and digital simulations techniques of the fractional order systems and the numerical resolution of the linear fractional order differential equation are exposed. Illustrative examples of each step of this work are presented to show the effectiveness and the efficiency of the proposed fractional order systems analog and digital simulations and implementations techniques
    Źródło:
    Archives of Control Sciences; 2017, 27, 1; 91-118
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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