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Wyszukujesz frazę "Caputo fractional-order derivative" wg kryterium: Temat

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    Wyświetlanie 1-11 z 11
    Tytuł:
    Fractional order impulsive partial hyperbolic differential inclusions with variable times
    Autorzy:
    Abbas, Saïd
    Benchohra, Mouffak
    Górniewicz, Lech
    Powiązania:
    https://bibliotekanauki.pl/articles/729238.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    impulsive functional differential inclusions
    fractional order
    solution
    left-sided mixed Riemann-Liouville integral
    Caputo fractional-order derivative
    variable times
    fixed point
    Opis:
    This paper deals with the existence of solutions to some classes of partial impulsive hyperbolic differential inclusions with variable times involving the Caputo fractional derivative. Our works will be considered by using the nonlinear alternative of Leray-Schauder type.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2011, 31, 1; 91-114
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Impulsive Hyperbolic System of Partial Differential Equations of Fractional Order with Delay
    Autorzy:
    Benchohra, Mouffak
    Boutefal, Zohra
    Powiązania:
    https://bibliotekanauki.pl/articles/746465.pdf
    Data publikacji:
    2014
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    impulsive partial hyperbolic differential equations,
    fractional order, solution
    left-sided mixed Riemann-Liouville integral
    Caputo fractional-order derivative
    finite delay
    fixed point
    Opis:
    This paper deals with the existence of solutions to impulsive partial hyperbolic differential equations with finite delay, involving the Caputo fractional derivative. Our results will be obtained using Krasnoselskii fixed point theorem.
    Źródło:
    Commentationes Mathematicae; 2014, 54, 2
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The method of upper and lower solutions for partial hyperbolic fractional order differential inclusions with impulses
    Autorzy:
    Abbas, Saïd
    Benchohra, Mouffak
    Powiązania:
    https://bibliotekanauki.pl/articles/729279.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    impulsive hyperbolic differential inclusion
    fractional order
    upper solution
    lower solution
    left-sided mixed Riemann-Liouville integral
    Caputo fractional-order derivative
    fixed point
    Opis:
    In this paper we use the upper and lower solutions method to investigate the existence of solutions of a class of impulsive partial hyperbolic differential inclusions at fixed moments of impulse involving the Caputo fractional derivative. These results are obtained upon suitable fixed point theorems.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 1; 141-161
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Some new existence results and stability concepts for fractional partial random differential equations
    Autorzy:
    Abbas, S.
    Benchohra, M.
    Darwish, M. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/357770.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
    Tematy:
    random differential equations
    left-sided mixed Riemann-Liouville integral
    Caputo fractional-order derivative
    Banach space
    Darboux problem
    Ulam stability
    równanie różniczkowe
    pochodna Caputo
    przestrzeń Banacha
    problem Darbouxa
    Opis:
    In the present paper we provide some existence results and Ulam’s type stability concepts for the Darboux problem of partial fractional random differential equations in Banach spaces, by applying the measure of noncompactness and a random fixed point theorem with stochastic domain.
    Źródło:
    Journal of Mathematics and Applications; 2016, 39; 5-22
    1733-6775
    2300-9926
    Pojawia się w:
    Journal of Mathematics and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Upper and lower solutions method for partial discontinuous fractional differential inclusions with not instantaneous impulses
    Autorzy:
    Abbas, Saïd
    Benchohra, Mouffak
    Abdalla Darwish, Mohamed
    Powiązania:
    https://bibliotekanauki.pl/articles/729578.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    fractional differential inclusion
    left-sided mixed Riemann-Liouville integral
    Caputo fractional order derivative
    upper solution
    lower solution
    extremal solution
    fixed point
    Banach algebras
    not instantaneous impulses
    Opis:
    In this paper, we use the upper and lower solutions method combined with a fixed point theorem for multivalued maps in Banach algebras due to Dhage for investigations of the existence of solutions of a class of discontinuous partial differential inclusions with not instantaneous impulses. Also, we study the existence of extremal solutions under Lipschitz, Carath´eodory and certain monotonicity conditions
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2016, 36, 2; 155-179
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analysis of fractional electrical circuit with sinusoidal input signal using Caputo and conformable derivative definitions
    Autorzy:
    Piotrowska, Ewa
    Powiązania:
    https://bibliotekanauki.pl/articles/378130.pdf
    Data publikacji:
    2019
    Wydawca:
    Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
    Tematy:
    fractional order system
    Sinusoidal Signals
    Caputo definition
    conformable fractional derivative definition
    fractional electrical circuit
    Opis:
    This paper presents the fractional electrical circuit in the transient state described by the fractional-order state-space equations. General solutions to the fractional state-space equations containing two types of definitions of fractional derivative: Caputo definition and the conformable fractional derivative definition are given the solutions in the case of: 1) control in the form of sine function at zero initial states 2) control in the form of cosine function at zero initial states 3) control in the form of the sine function with phase shift at zero initial states. The solutions are shown for capacitor voltages for fractional derivative orders of 0.7; 0.8; 1.0. The results were compared using graphs.
    Źródło:
    Poznan University of Technology Academic Journals. Electrical Engineering; 2019, 97; 155-167
    1897-0737
    Pojawia się w:
    Poznan University of Technology Academic Journals. Electrical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Problems with modeling of fractional electrical circuits containing supercapacitors
    Autorzy:
    Piotrowska, Ewa
    Powiązania:
    https://bibliotekanauki.pl/articles/378115.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
    Tematy:
    fractional order system
    electrical circuits containing supercapacitors
    Caputo definition
    Conformable Fractional Derivative definition
    Opis:
    For proper operation, diagnostics or control, it is required to know the parameters of the supercapacitor replacement model (relationship between current and voltage at the terminals). The paper describe the bahavior of the eletrical circuit (RC) containing the supercapacitor were used the fractional derivatives of Caputo definiton and Conformable Fractional Derivative definition. Verification of the correctness of the suggested electrical circuit models was carried out a series of measurements of the system response to the given control signal. The measurement data were compared by fractionalorder derivatives: classical case, Caputo definition and CFD definition. Conducting a series of experiments with charging a supercapacitor in an RC circuit, constant control voltage from 2 V to 5 V with an exchanged external resistor, it was shown that none of the three mathematical models reflects the real behavior of the supercapacitor. It has been shown that the behavior of supercapacitor requires the use of different mathematical than fractional derivatives.
    Źródło:
    Poznan University of Technology Academic Journals. Electrical Engineering; 2020, 104; 65-74
    1897-0737
    Pojawia się w:
    Poznan University of Technology Academic Journals. Electrical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On LQ optimization problem subject to fractional order irregular singular systems
    Autorzy:
    Muhafzan, -
    Nazra, Admi
    Yulianti, Lyra
    Zulakmal, -
    Revina, Refi
    Powiązania:
    https://bibliotekanauki.pl/articles/1409212.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    linear quadratic optimization
    fractional order
    irregular singular system
    Caputo fractional derivative
    Mittag-Leffler function
    Opis:
    In this paper we discuss the linear quadratic (LQ) optimization problem subject to fractional order irregular singular systems. The aim of this paper is to find the control-state pairs satisfying the dynamic constraint of the form a fractional order irregular singular systems such that the LQ objective functional is minimized. The method of solving is to convert such LQ optimization into the standard fractional LQ optimization problem. Under some particularly conditions we find the solution of the problem under consideration.
    Źródło:
    Archives of Control Sciences; 2020, 30, 4; 745-756
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Application of fractional order theory of thermoelasticity in an elliptical disk and associated thermal stresses
    Autorzy:
    Thakare, S.
    Panke, Y.
    Hadke, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/1839826.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    naprężenia termiczne
    pochodna Caputo
    termosprężystość
    elliptical disk
    fractional order theory
    Caputo derivative
    integral transform
    thermal stresses
    thermal deflection
    Opis:
    In this article, a time fractional-order theory of thermoelasticity is applied to an isotropic homogeneous elliptical disk. The lower and upper surfaces of the disk are maintained at zero temperature, whereas the sectional heat supply is applied on the outer curved surface. Thermal deflection and associated thermal stresses are obtained in terms of Mathieu function of the first kind of order 2n. Numerical evaluation is carried out for the temperature distribution, Thermal deflection and thermal stresses and results of the resulting quantities are depicted graphically.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2020, 25, 3; 169-180
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Results on the controllability of Caputo’s fractional descriptor systems with constant delays
    Autorzy:
    Beata, Sikora
    Powiązania:
    https://bibliotekanauki.pl/articles/27311455.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    descriptor systems
    fractional-order systems
    Caputo derivative
    Drazin inverse
    controllability
    pochodna Caputo
    odwrotność Drazina
    sterowalność
    system deskryptorowy
    system ułamkowego rzędu
    Opis:
    The paper investigates the controllability of fractional descriptor linear systems with constant delays in control. The Caputo fractional derivative is considered. Using the Drazin inverse and the Laplace transform, a formula for solving of the matrix state equation is obtained. New criteria of relative controllability for Caputo’s fractional descriptor systems are formulated and proved. Both constrained and unconstrained controls are considered. To emphasize the importance of the theoretical studies, an application to electrical circuits is presented as a practical example.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2023, 71, 4; art. no. e146287
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Practical Mittag-Leffler stability of quasi-one-sided Lipschitz fractional order systems
    Autorzy:
    Basdouri, Imed
    Kasmi, Souad
    Lerbet, Jean
    Powiązania:
    https://bibliotekanauki.pl/articles/27312007.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    fractional-order systems
    Caputo derivative
    quasi-one-sided Lipschitz condition
    nonlinear systems
    observer design
    output feedback stabilization
    separation principle
    Opis:
    This paper focuses on the global practical Mittag-Leffler feedback stabilization problem for a class of uncertain fractional-order systems. This class of systems is a larger class of nonlinearities than the Lipschitz ones. Based on the quasi-one-sided Lipschitz condition, firstly, we provide sufficient conditions for the practical observer design. Then, we exhibit that practical Mittag-Leffler stability of the closed loop system with a linear, state feedback is attained. Finally, a separation principle is established and we prove that the closed loop system is practical Mittag-Leffler stable.
    Źródło:
    Archives of Control Sciences; 2023, 33, 1; 55--70
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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