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Wyświetlanie 1-15 z 333
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:
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:
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:
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:
Topological sensitivity analysis for a coupled nonlinear problem with an obstacle
Autorzy:
Abdelbari, M.
Nachi, K.
Sokolowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/205653.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
topological derivative
shape optimization
SteklovPoincaroperator
Signorini problem
variational inequality
Helmholtz equation
coupled partial differential equations
conical differential
asymptotic expansions
singular perturbations of geometrical Romains
truncated domain
Opis:
The Topological Derivative has been recognized as a powerful tool in obtaining the optimal topology for several kinds of engineering problems. This derivative provides the sensitivity of the cost functional for a boundary value problem for nucleation of a small hole or a small inclusion at a given point of the domain of integration. In this paper, we present a topological asymptotic analysis with respect to the size of singular domain perturbation for a coupled nonlinear PDEs system with an obstacle on the boundary. The domain decomposition method, referring to the SteklovPoincar´epseudo-differential operator, is employed for the asymptotic study of boundary value problem with respect to the size of singular domain perturbation. The method is based on the observation that the known expansion of the energy functional in the ring coincides with the expansion of the Steklov-Poincar´e operator on the boundary of the truncated domain with respekt to the small parameter, which measures the size of perturbation. In this way, the singular perturbation of the domain is reduced to the regular perturbation of the Steklov-Poincar´e map ping for the ring. The topological derivative for a tracking type shape functional is evaluated so as to obtain the useful formula for application in the numerical methods of shape and topology optimization.
Źródło:
Control and Cybernetics; 2017, 46, 1; 5-25
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive solution of a fractional differential equation with integral boundary conditions
Autorzy:
Abdo, M. S.
Wahash, H. A.
Panchal, S. K.
Powiązania:
https://bibliotekanauki.pl/articles/122788.pdf
Data publikacji:
2018
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
fractional derivative and integral
positive solutions of nonlinear boundary value problems
upper and lower solutions
fixed point theorem
pochodna ułamkowa
twierdzenie o punkcie stałym
twierdzenia o punkcie stałym Schaudera
równania różniczkowe cząstkowe
nieliniowe cząstkowe równanie różniczkowe
zagadnienie brzegowe
Opis:
In this paper, we prove the existence and uniqueness of a positive solution for a boundary value problem of nonlinear fractional differential equations involving a Caputo fractional operator with integral boundary conditions. The technique used to prove our results depends on the upper and lower solution, the Schauder fixed point theorem and the Banach contraction principle. The result of existence obtained through constructing the upper and lower control functions of the nonlinear term without any monotone requirement.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 3; 5-15
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An existence theorem for fractional hybrid differential inclusions of Hadamard type
Autorzy:
Ahmad, Bashir
Ntouyas, Sotiris
Powiązania:
https://bibliotekanauki.pl/articles/729503.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Hadamard fractional derivative
hybrid differential inclusions
Diriclet boundary conditions
existence
fixed point
Opis:
This paper studies the existence of solutions for fractional hybrid differential inclusions of Hadamard type by using a fixed point theorem due to Dhage. The main result is illustrated with the aid of an example.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2014, 34, 2; 207-218
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Inequalities concerning polar derivative of polynomials
Autorzy:
Ahuja, Arty
Dewan, K. K.
Hans, Sunil
Powiązania:
https://bibliotekanauki.pl/articles/747153.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Polynomials
maximum modulus
inequalities in the complex domain
polar derivative
Opis:
In this paper we obtain certain results for the polar derivative of a polynomial \(p(z) = c_nz^n +\sum_{j=\mu}^n c_{n-j}z^{n-j}\), \(1\leq\mu\leq n\), having all its zeros on \(|z| = k\), \(k\leq 1\), which generalizes the results due to Dewan and Mir, Dewan and Hans. We also obtain certain new inequalities concerning the maximum modulus of a polynomial with restricted zeros. [Editor's note: There are flaws in the paper, see M. A. Qazi, Remarks on some recent results about polynomials with restricted zeros, Ann. Univ. Mariae Curie-Skłodowska Sect. A 67 (2), (2013), 59-64 ]
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:
Fractional integro-differential inclusions with state-dependent delay
Autorzy:
Aissani, Khalida
Benchohra, Mouffak
Ezzinbi, Khalil
Powiązania:
https://bibliotekanauki.pl/articles/729499.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
fractional integro-differential inclusions
Caputo fractional derivative
mild solution
multivalued map
Bohnenblust-Karlin's fixed point
state-dependent delay
Opis:
In this paper, we establish sufficient conditions for the existence of mild solutions for fractional integro-differential inclusions with state-dependent delay. The techniques rely on fractional calculus, multivalued mapping on a bounded set and Bohnenblust-Karlin's fixed point theorem. Finally, we present an example to illustrate the theory.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2014, 34, 2; 153-167
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control of a fractional-order enzyme kinetic model
Autorzy:
Al-Basir, F.
Elaiw, A. M.
Kesh, D.
Roy, P. K.
Powiązania:
https://bibliotekanauki.pl/articles/206336.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
enzyme kinetics
cooperative phenomenon
fractional derivative
mathematical modeling
Hamiltonian
optimal control problem
Opis:
Enzymes play a significant role in controlling the characteristics of various chemical and biochemical reactions. They act as catalysts that increase the rate of reaction without undergoing any change in quantity. Enzymatic reactions occur through the active sites, which combine with the substrates to form intermediate complexes, subsequently leading to products. An enzyme having two active sites can show cooperative phenomena. Against this background, an enzyme-kinetic mathematical model is formulated using fractional order derivatives. Optimal control mechanism has been incorporated into the fractional-order model system to maximize the product output. Euler-Lagrange optimality conditions are derived for the FOCP (fractional order control problem) using maximum principle. Numerical iterative schemes have been developed to solve the fractional order optimal control problem through Matlab.
Źródło:
Control and Cybernetics; 2015, 44, 4; 443-461
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence results of ψ-Hilfer integro-differential equations with fractional order in Banach space
Autorzy:
Almalahi, Mohammed A.
Panchal, Satish K.
Powiązania:
https://bibliotekanauki.pl/articles/1797178.pdf
Data publikacji:
2020-07-20
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
ψ-Hilfer fractional derivative
Mönch fixed point theorem
Eα-Ulam-Hyers stability
δ-approximate solution
Opis:
In this article we present the existence and uniqueness results for fractional integro-differential equations with ψ-Hilfer fractional derivative. The reasoning is mainly based upon different types of classical fixed point theory such as the Mönch fixed point theorem and the Banach fixed point theorem. Furthermore, we discuss $E_{α}$-Ulam-Hyers stability of the presented problem. Also, we use the generalized Gronwall inequality with singularity to establish continuous dependence and uniqueness of the δ-approximate solution.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2020, 19; 171-192
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
All solenoids of piecewise smooth maps are period doubling
Autorzy:
Alsedà, Lluís
Jiménez López, Víctor
Snoha, L’ubomír
Powiązania:
https://bibliotekanauki.pl/articles/1205307.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Markov graph
periodic point
piecewise smooth map with nowhere vanishing Lipschitz continuous derivative
piecewise linear map
solenoid
Opis:
We show that piecewise smooth maps with a finite number of pieces of monotonicity and nowhere vanishing Lipschitz continuous derivative can have only period doubling solenoids. The proof is based on the fact that if $p_1 < ... < p_n$ is a periodic orbit of a continuous map f then there is a union set ${q_1,..., q_{n-1}}$ of some periodic orbits of f such that $p_i < q_i < p_{i+1}$ for any i.
Źródło:
Fundamenta Mathematicae; 1998, 157, 2-3; 121-138
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Experimental Self-Tuning Proportional Integral Derivative pH Control: Application to a Bioprocess
Autorzy:
Altuntaş, S.
Hapoğlu, H.
Ertunç, S.
Alpbaz, M.
Powiązania:
https://bibliotekanauki.pl/articles/1031479.pdf
Data publikacji:
2017-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
Experimental self-tuning proportional-integral-derivative application
pH control
kefir yeast
cheese whey
Opis:
pH control has received considerable attention in preparation of cheese whey drink, by fermentation with kefir yeast, because of its critical role in quality assurance. To improve the rheological and sensory properties of this drink, milk and grape juice are added to the bioprocess medium. Cheese whey drink was produced from the pasteurized mixture, which contains cheese whey, glucose, grape juice and milk. The fermentation of this mixture with kefir yeast in a batch bioreactor was investigated. The pH was monitored during the production of cheese whey drink. Experiments show that kefir yeast is very resistant to contamination. A self-tuning proportional-integral-derivative control was applied to the bioprocess. The software of controller was developed by using the autoregressive moving average exogenous model. The model parameters were evaluated from input-output data by using a pseudo random binary sequence. The experimental results illustrate that the controller can maintain the pH at the desired value. It is noted that the self-tuning proportional-integral-derivative pH control results with the best controller tuning parameters and provides very good results, compared to initially adjusted case, without control. The best tuning parameters were found as t₁=0.1, t₂=0, t₃=0, by comparing experimental application results.
Źródło:
Acta Physica Polonica A; 2017, 132, 3; 1006-1009
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sufficient conditions of optimality for multiobjective optimization problems with γ-paraconvex data
Autorzy:
Amahroq, T.
Taa, A.
Powiązania:
https://bibliotekanauki.pl/articles/1219613.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
contingent derivative
γ-paraconvex multifunction
optimality conditions
B-tangentially compact
compactly γ-paraconvex multifunction
Pareto minimal point
Opis:
We study multiobjective optimization problems with γ-paraconvex multifunction data. Sufficient optimality conditions for unconstrained and constrained problems are given in terms of contingent derivatives.
Źródło:
Studia Mathematica; 1997, 124, 3; 239-247
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Shape differentiability of the Neumann problem of the Laplace equation in the half-space
Autorzy:
Amrouche, C.
Necasova, S.
Sokołowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/970287.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
shape optimization
Neumann problem
unbounded domain
material derivative
Opis:
We deal with the existence of the material derivative of the Laplace equation with the Neumann boundary condition in the half space. We consider two different perturbations of domains to get the existence of weak Gateaux material derivative and the existence of Fréchet material derivatives.
Źródło:
Control and Cybernetics; 2008, 37, 4; 747-769
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 333

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