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Wyświetlanie 1-15 z 333
Tytuł:
“gcdAlpha” – a semi-analytical method for solving fractional state equations
Autorzy:
Sowa, M.
Powiązania:
https://bibliotekanauki.pl/articles/377385.pdf
Data publikacji:
2018
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
semi-analytical method
fractional derivative
circuit analysis
different orders
Opis:
The paper discusses a semi-analytical method for solving systems of fractional state equations with various orders. The method bases on an expansion of the system into one where there is a single derivative order. The formulation of the matrices of the new system is explained in detail. Another characteristic feature of the method is also introduced – a consideration of forms, in which the time functions appear and the terms appearing in the solution as a result. A fractional circuit example is presented in order to test the method. The computation time for the method is also studied.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2018, 96; 231-242
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
$(H_p,L_p)$-type inequalities for the two-dimensional dyadic derivative
Autorzy:
Weisz, Ferenc
Powiązania:
https://bibliotekanauki.pl/articles/1287322.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hardy spaces
p-atom
interpolation
Walsh functions
dyadic derivative
Opis:
It is shown that the restricted maximal operator of the two-dimensional dyadic derivative of the dyadic integral is bounded from the two-dimensional dyadic Hardy-Lorentz space $H_{p,q}$ to $L_{p,q}$ (2/3 < p < ∞, 0 < q ≤ ∞) and is of weak type $(L_1,L_1)$. As a consequence we show that the dyadic integral of a ∞ function $f ∈ L_1$ is dyadically differentiable and its derivative is f a.e.
Źródło:
Studia Mathematica; 1996, 120, 3; 271-288
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
4,6-Diazido-N-(2,4,6-trinitrophenyl)-1,3,5-triazin-2-amine (TNADAzT) and Its Silver Salt − Synthesis and Characterization
Autorzy:
Musil, T.
Matyáš, R.
Zeman, S.
Růžička, A.
Lyčka, A.
Majzlík, J.
Vala, R.
Knotek, P.
Powiązania:
https://bibliotekanauki.pl/articles/358533.pdf
Data publikacji:
2017
Wydawca:
Sieć Badawcza Łukasiewicz - Instytut Przemysłu Organicznego
Tematy:
azido derivative of triazine
silver salt
sensitivity
MTX-1
X-ray
Opis:
4,6-Diazido-N-(2,4,6-trinitrophenyl)-1,3,5-triazin-2-amine (TNADAzT) and its silver salt (AgTNADAzT) were prepared and characterized. Elemental analysis, FTIR, NMR, DSC, AAS and X-ray diffraction were used for analytical characterization. The sensitivities of TNADAzT and AgTNADAzT were determined and compared with common explosives and MTX-1. The crystal density of TNADAzT is 1.794 g·cm−3 and its heat of formation 899 kJ·mol−1. The sensitivity of TNADAzT to impact and friction slightly exceeds PETN; the sensitivity to electrostatic discharge is lower than RDX. The sensitivity of AgTNADAzT is on the level of a primary explosives (between mercury fulminate and PETN). The initiation efficiency of AgTNADAzT is higher than 200 mg (acceptor PETN compressed by 64-70 MPa) and therefore excludes it from practical use as a primary explosive in detonators.
Źródło:
Central European Journal of Energetic Materials; 2017, 14, 2; 304-320
1733-7178
Pojawia się w:
Central European Journal of Energetic Materials
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A class of nonlocal integrodifferential equations via fractional derivative and its mild solutions
Autorzy:
Wang, J.
Yan, X.
Zhang, X. H.
Wang, T. M
Li, X. Z.
Powiązania:
https://bibliotekanauki.pl/articles/255673.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
integrodifferential equations
fractional derivative
nonlocal conditions
resolvent operator and their norm continuity
fixed point theorem
mild solutions
Opis:
In this paper, we discuss a class of integrodifferential equations with nonlocal conditions via a fractional derivative of the type: [formula]. Some sufficient conditions for the existence of mild solutions for the above system are given. The main tools are the resolvent operators and fixed point theorems due to Banach's fixed point theorem, Krasnoselskii's fixed point theorem and Schaefer's fixed point theorem. At last, an example is given for demonstration.
Źródło:
Opuscula Mathematica; 2011, 31, 1; 119-135
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A design of an optimal shape of domain described by NURBS curves using the topological derivative and boundary element method
Autorzy:
Freus, K.
Freus, S.
Powiązania:
https://bibliotekanauki.pl/articles/122807.pdf
Data publikacji:
2017
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Laplace equation
boundary element method
topological derivative
NURBS curves
równanie Laplace'a
metoda elementów brzegowych
pochodna topologiczna
krzywa NURBS
Opis:
The aim of this paper is to create an optimal shape of the 2D domain that is described by the Non-Uniform Rational B-Splines (NURBS) curves. This work presents a method based on the topological derivative for the Laplace equation that determines the sensitivity of a given cost function to the change of its topology. As a numerical approach, the boundary element method is considered. To check the effectiveness of the proposed approach, the example of computations was carried out.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 2; 67-76
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A discrete non-classical operational calculus model with the Horadam difference
Model dyskretny nieklasycznego rachunku operatorów z różnicą Horadama
Autorzy:
Wysocki, H.
Powiązania:
https://bibliotekanauki.pl/articles/221958.pdf
Data publikacji:
2016
Wydawca:
Akademia Marynarki Wojennej. Wydział Dowodzenia i Operacji Morskich
Tematy:
operational calculus
derivative
integrals limit conditions
Horadam difference
rachunek operatorów
pochodna
pierwotne warunki graniczne
różnica Horadama
Opis:
In this paper, there has been constructed such a model of the non-classical Bittner operational calculus, in which the derivative related to Horadam sequences is understood as a difference operation S{x(k)} : = {x(k + 2) – a x(k + 1) – b x(k)}.
W artykule skonstruowano model nieklasycznego rachunku operatorów Bittnera, w którym pochodna związana z ciągami Horadama rozumiana jest jako operacja różnicowa S{x(k)} : = {x(k + 2) – a x(k + 1) – b x(k)}.
Źródło:
Zeszyty Naukowe Akademii Marynarki Wojennej; 2016, R. 57 nr 2 (205), 2 (205); 93-103
0860-889X
Pojawia się w:
Zeszyty Naukowe Akademii Marynarki Wojennej
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A double window state observer for detection and isolation of abrupt changes in parameters
Autorzy:
Byrski, J.
Byrski, W.
Powiązania:
https://bibliotekanauki.pl/articles/330142.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fault detection
fault isolation
exact state observer
parameter abrupt changes
derivative reconstruction
linear continuous system
detekcja uszkodzeń
lokalizacja uszkodzeń
dokładny obserwator stanu
układ ciągły liniowy
Opis:
The paper presents a new method for diagnosis of a process fault which takes the form of an abrupt change in some real parameter of a time-continuous linear system. The abrupt fault in the process real parameter is reflected in step changes in many parameters of the input/output model as well as in step changes in canonical state variables of the system. Detection of these state changes will enable localization of the faulty parameter in the system. For detecting state changes, a special type of exact state observer will be used. The canonical state will be represented by the derivatives of the measured output signal. Hence the exact state observer will play the role of virtual sensors for reconstruction of the derivatives of the output signal. For designing the exact state observer, the model parameters before and after the moment of fault occurrence must be known. To this end, a special identification method with modulating functions will be used. A novel concept presented in this paper concerns the structure of the observer. It will take the form of a double moving window observer which consists of two signal processing windows, each of width T . These windows are coupled to each other with a common edge. The right-hand side edge of the left-side moving window in the interval [t − 2T, t − T ] is connected to the left-hand side edge of the right-side window which operates in the interval [t − T, t]. The double observer uses different measurements of input/output signals in both the windows, and for each current time t simultaneously reconstructs two values of the state—the final value of the state in the left-side window zT (t − T ) and the initial value of the state z0(t − T ) in the right-side window. If the process parameters are constant, the values of both the states on the common joint edge are the same. If an abrupt change (fault) in some parameter at the moment tA = t − T occurs in the system, then step changes in some variables of the canonical state vector will also occur and the difference between the states will be detected. This will enable localization of the faulty parameter in the system.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 585-602
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A level set method in shape and topology optimization for variational inequalities
Autorzy:
Fulmański, P.
Laurain, A.
Scheid, J. F.
Sokołowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/929713.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
optymalizacja kształtu
pochodna topologiczna
nierówność wariacyjna
analiza asymptotyczna
shape optimization
topological derivative
level set method
variational inequality
asymptotic analysis
Opis:
The level set method is used for shape optimization of the energy functional for the Signorini problem. The boundary variations technique is used in order to derive the shape gradients of the energy functional. The conical differentiability of solutions with respect to the boundary variations is exploited. The topology modifications during the optimization process are identified by means of an asymptotic analysis. The topological derivatives of the energy shape functional are employed for the topology variations in the form of small holes. The derivation of topological derivatives is performed within the framework proposed in (Sokołowski and Żochowski, 2003). Numerical results confirm that the method is efficient and gives better results compared with the classical shape optimization techniques.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 3; 413-430
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A multidimensional singular stochastic control problem on a finite time horizon
Autorzy:
Boryc, Marcin
Kruk, Łukasz
Powiązania:
https://bibliotekanauki.pl/articles/747102.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Singular stochastic control
generalized derivative
HJB equation
optimal control
Opis:
A singular stochastic control problem in n dimensions with timedependent coefficients on a finite time horizon is considered. We show that the value function for this problem is a generalized solution of the corresponding HJB equation with locally bounded second derivatives with respect to the space variables and the first derivative with respect to time. Moreover, we prove that an optimal control exists and is unique.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2015, 69, 1
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new approach for simultaneous shape and topology optimization based on dynamic implicit surface function
Autorzy:
Guo, H.
Zhao, K.
Wang, M. Y.
Powiązania:
https://bibliotekanauki.pl/articles/970141.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optymalizacja topologiczna
pochodna topologiczna
topology optimization
implicit
surface function
topological derivative
level set
Opis:
In the present paper, a new approach for structural topology optimization based on dynamic implicit surface function (DISF) is proposed. DISF is used to describe the shape/topology of a structure, which is approximated in terms of the nodal values. Then, a relationship is established between the element stiffness and the values of the implicit surface function on its four nodes. In this way and with some non-local treatments of the design sensitivities, not only the shape derivative but also the topological derivative of the optimal design can be incorporated in the numerical algorithm in a unified way. Numerical experiments demonstrate that by employing this approach, the computational efforts associated with DISF (and level set) based algorithms can be diminished. Clear optimal topologies and smooth structural boundaries free from any sign of numerical instability can be obtained simultaneously and efficiently.
Źródło:
Control and Cybernetics; 2005, 34, 1; 255-282
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new BEM for modeling and simulation of 3T MDD laser-generated ultrasound stress waves in FGA smart materials
Autorzy:
Fahmy, Mohamed A.
Powiązania:
https://bibliotekanauki.pl/articles/29520102.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
oundary element method
modeling and simulation
three-temperature
memory-dependent derivative
laser ultrasonic
nonlinear thermal stress waves
functionally graded anisotropic
smart materials
Opis:
The goal of this study is to present a new theory known as the three-temperature memory-dependent derivative (MDD) of ultrasound stress waves in functionally graded anisotropic (FGA) smart materials. It is extremely difficult to address the difficulties related to this theory analytically due to its severe nonlinearity. As a result, we suggest a new boundary element method (BEM) to solve such equations. The suggested BEM technique incorporates the benefits of both continuous and discrete descriptions. The numerical results are visually represented to demonstrate the impacts of MDD three temperatures and anisotropy on the ultrasound stress waves in FGA smart materials. The numerical findings verify the proposed methodology’s validity and accuracy. We may conclude that the offered results are useful for comprehending the FGA smart materials. As a result, our findings contribute to the advancement of the industrial applications of FGA smart materials.
Źródło:
Computer Methods in Materials Science; 2021, 21, 2; 95-104
2720-4081
2720-3948
Pojawia się w:
Computer Methods in Materials 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:
A new modification of the reduced differential transform method for nonlinear fractional partial differential equations
Autorzy:
Khalouta, Ali
Kadem, Abdelouahab
Powiązania:
https://bibliotekanauki.pl/articles/1839758.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
nonlinear fractional partial differential equations
Caputo fractional derivative
Shehu transform method
reduced differential transform method
approximate analytical solution
nieliniowe równania różniczkowe cząstkowe ułamkowe
pochodna ułamkowa Caputo
metoda transformacji Shehu
metoda transformacji różnicowej
Opis:
The objective of this study is to present a new modification of the reduced differential transform method (MRDTM) to find an approximate analytical solution of a certain class of nonlinear fractional partial differential equations in particular, nonlinear time-fractional wave-like equations with variable coefficients. This method is a combination of two different methods: the Shehu transform method and the reduced differential transform method. The advantage of the MRDTM is to find the solution without discretization, linearization or restrictive assumptions. Three different examples are presented to demonstrate the applicability and effectiveness of the MRDTM. The numerical results show that the proposed modification is very effective and simple for solving nonlinear fractional partial differential equations.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 3; 45-58
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new numerical technique for solving fractional Bratu’s initial value problems in the Caputo and Caputo-Fabrizio sense
Autorzy:
Khalouta, Ali
Kadem, Abdelouahab
Powiązania:
https://bibliotekanauki.pl/articles/1839797.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
fractional Bratu’s initial value problem
Caputo fractional derivative
Caputo-Fabrizio fractional derivative
natural transform method
Adomian decomposition method
ułamkowa pochodna Caputo
ułamkowa pochodna Caputo-Fabrizio
metoda transformacji naturalnej
metoda dekompozycji Adomiana
Opis:
The purpose of this paper is to propose a new numerical technique called the natural decomposition method (NDM) for solving fractional Bratu’s initial value problems (FBIVP) in the Caputo and Caputo-Fabrizio sense. The NDM is a combined form of the natural transform method and the Adomian decomposition method. The numerical example is provided in order to validate the efficiency and reliability of the proposed method. The obtained results reveal that the proposed method is a very efficient and simple tool for solving fractional differential equations.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 43-56
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new numerical technique for solving fractional Bratu’s initial value problems in the Caputo and Caputo-Fabrizio sense
Autorzy:
Khalouta, Ali
Kadem, Abdelouahab
Powiązania:
https://bibliotekanauki.pl/articles/122619.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
fractional Bratu’s initial value problem
Caputo fractional derivative
Caputo-Fabrizio fractional derivative
natural transform method
Adomian decomposition method
ułamkowa pochodna Caputo
ułamkowa pochodna Caputo-Fabrizio
metoda transformacji naturalnej
metoda dekompozycji Adomiana
Opis:
The purpose of this paper is to propose a new numerical technique called the natural decomposition method (NDM) for solving fractional Bratu’s initial value problems (FBIVP) in the Caputo and Caputo-Fabrizio sense. The NDM is a combined form of the natural transform method and the Adomian decomposition method. The numerical example is provided in order to validate the efficiency and reliability of the proposed method. The obtained results reveal that the proposed method is a very efficient and simple tool for solving fractional differential equations.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 43-56
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 333

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