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Вид индекса : SCI Expanded ✕Кафедра : Uygulamalı Matematik ... ✕

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Тематический рубрикатор [35]

ON OPTIMAL CONTROL OF THE INITIAL VELOCITY OF AN EULER-BERNOULLI BEAM SYSTEM

Ercan ÇELİK

In this study, we consider an optimal control problem for an Euler-Bernoulli beam equation. The initial velocity of the system is given by the control function. We give sufficient conditions for the existence of a unique solution of the hyperbolic system and prove that the optimal solution for the considered optimal control problem is exists and unique. After obtaining the Frechet derivative of the cost functional via an adjoint problem, we also give an iteration algorithm for the numerical solution of the problem by using the Gradient method. Finally, we furnish some numerical examples to dem ...Более

Статья 2022 Fen Fakültesi Thermal Science26 ( Special Issue: 2 ) 39 Просмотры

H-infinity-NORM EVALUATION FOR A TRANSFER MATRIX VIA BISECTION ALGORITHM

Ercan ÇELİK

In this paper, we compute H.-norm of a transfer matrix, via bisection algorithm. The algorithm is given and applied some problems. The problems are choosen from various areas of control theory such as aircraft models and decentralized interconnected systems.

Статья 2022 Fen Fakültesi Thermal Science26 ( Special Issue: 2 ) 50 Просмотры

An invariant of regular isotopy for disoriented links

İsmet ALTINTAŞ

In this paper, we define a two-variable polynomial invariant of regular isotopy, M_K for a disoriented link diagram K. By normalizing the polynomial M_K using complete writhe, we obtain a polynomial invariant of ambient isotopy, N_K, for a disoriented link diagram K. The polynomial N_K is a generalization of the expanded Jones polynomial for disoriented links and is an expansion of the Kauffman polynomial F to the disoriented links. Moreover, the polynomial M_K is an expansion of the Kauffman polynomial L to the disoriented links.

Статья 2023 Fen Fakültesi Turkish Journal of Mathematics47 ( 1 ) 50 Просмотры

Regularized Asymptotics of the Solution of Systems of Parabolic Differential Equations

Asan ÖMÜRALİEV | Ella ABILAYEVA

The regularization method for singularly perturbed problems of S. A. Lomov is generalized to constructing the asymptotics of the solution of the first boundary value problem for systems of differential equations of parabolic type with a small parameter at all derivatives.It is shown that the asymptotics of the solution of the problem contains n exponential, 2n parabolic and 2n angle boundary layer functions.The exponential boundary layer function describes the boundary layer along t 0, the boundary layer along x 0 and x 1 is described by parabolic boundary layer functions. © 2022, University o ...Более

Статья 2022 Fen Fakültesi Filomat36 ( 16 ) 21 Просмотры

Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space

Meerim İmaş Kızı | Fahreddin ABDULLAYEV

In this paper, we study Bernstein, Markov and Nikol’skii type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the contour and weight functions have some singularities on a given contour. Keyword: In this paper, we study Bernstein, Markov and Nikol’skii type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the contour and weight functions have some singularities on a given contour

Статья 2023 Fen Fakültesi Filomat37 ( 17 ) 51 Просмотры

Fejér-type positive operator based on Takenaka-Malmquist system on unit circle

Fahreddin ABDULLAYEV

Let φ={φk}k=−∞∞ denote the extended Takenaka–Malmquist system on unit circle T and let σn,φ(f), f∈L1(T), be the Fejér-type operator based on φ, introduced by V. N. Rusak. We give the convergence criteria for σn,φ(f) in Banach space C(T). Also we prove the Voronovskaya-type theorem for σn,φ(f) on class of holomorphic functions representable by Cauchy-type integrals with bounded densities. Keywords: Holomorphic functions; Takenaka–Malmquist system; Fejér type operator; Blaschke product; Frostman condition

Статья 2023 Fen Fakültesi Journal of Mathematical Analysis and Applications529 ( 2 ) 48 Просмотры

Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator

Ercan ÇELİK

In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled. With the help of an integral identity which includes the Riemann-Liouville (RL) fractional integral operator, new Hadamard-type inequalities are proved for exponentially convex functions on the coordinates. Many special cases of the results are discussed. Keywords: hadamard-type inequalities; rectangle

Статья 2023 Fen Fakültesi Journal of Function Spaces2023 48 Просмотры

Solitary wave solutions to some nonlinear conformable partial differential equations

Ercan ÇELİK

Fractional calculus is a field that is currently used in the world’s applications in many science and engineering fields where many models are still being developed and researched. The conformable time-fractional gives the full history of this function, which is the advantage of using fractional calculus to solve physical problems. In this study, the conformable time-fractional extended (2 1)-dimensional quantum Zakharov-Kuznetsov and the time-fractional modified Korteweg-de Vries equations are investigated by using the the modified exp (−Ω(ξ))-expansion function approach. Some new prototype ...Более

Статья 2023 Fen Fakültesi Optical and Quantum Electronics55 ( 8 ) 23 Просмотры

Best approximation-preserving operators over Hardy space

Fahreddin ABDULLAYEV

Let Tn be the linear Hadamard convolution operator acting over Hardy space Hq, 1≤q≤∞. We call Tn a best approximation-preserving operator (BAP operator) if Tn(en)=en, where en(z):=zn, and if ∥Tn(f)∥q≤En(f)q for all f∈Hq, where En(f)q is the best approximation by algebraic polynomials of degree a most n−1 in Hq space. We give necessary and sufficient conditions for Tn to be a BAP operator over H∞. We apply this result to establish an exact lower bound for the best approximation of bounded holomorphic functions. In particular, we show that the Landau-type inequality ∣∣fˆn∣∣+c∣∣fˆN∣∣≤En(f)∞, wher ...Более

Статья 2023 Fen Fakültesi Analysis and Mathematical Physics13 ( 4 ) 31 Просмотры

Invariant Solutions and Conservation Laws of the Time-Fractional Telegraph Equation

Ercan ÇELİK

In this study, the Lie symmetry analysis is given for the time-fractional telegraph equation with the Riemann-Liouville derivative. This equation is useable to describe the physical processes of models possessing memory. By applying classical and nonclassical Lie symmetry analysis for the telegraph equation with & alpha;,& beta; time-fractional derivatives and some technical computations, new infinitesimal generators are obtained. The actual methods give some classical symmetries while the nonclassical approach will bring back other symmetries to these equations. The similarity reduction and c ...Более

Статья 2023 Fen Fakültesi Advances in Mathematical Physics2023 14 Просмотры

Well-Posedness and Blow-Up of Solutions for a Variable Exponent Nonlinear Petrovsky Equation

Ercan ÇELİK

In this article, we investigate a nonlinear Petrovsky equation with variable exponent and damping terms. First, we establish the local existence using the Faedo-Galerkin approximation method under the conditions of positive initial energy and appropriate constraints on the variable exponents p & sdot; and q & sdot;. Finally, we prove a finite-time blow-up result for negative initial energy. Keyword: global existence; wave-equation

Статья 2023 Fen Fakültesi Advances in Mathematical Physics2023 18 Просмотры

Existence, Decay, and Blow-up of Solutions for a Weighted m -Biharmonic Equation with Nonlinear Damping and Source Terms

Ercan ÇELİK

In this paper, we consider the weighted m-biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao's inequality. Finally, we proved the blow-up of solutions in finite time.

Статья 2024 Fen Fakültesi Journal of Function Spaces2024 12 Просмотры

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Фильтры

Коллекция [1]

Ученые [10]

Устойчивое развитие ООН [9]

Факультет / Институт [1]

Вид публикации [1]

Год публикации [10]

Язык [1]

Источник [28]

Базы данных [14]

Вид индекса [2]

Издатель [16]

Кафедра [1]

Национальный/Международный [1]

Тематический рубрикатор [35]

Ercan ÇELİK

Ercan ÇELİK

İsmet ALTINTAŞ

Asan ÖMÜRALİEV | Ella ABILAYEVA

Meerim İmaş Kızı | Fahreddin ABDULLAYEV

Fahreddin ABDULLAYEV

Ercan ÇELİK

Ercan ÇELİK

Fahreddin ABDULLAYEV

Ercan ÇELİK

Ercan ÇELİK

Ercan ÇELİK