Browsing FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics by Access Type "info:eurepo/semantics/openAccess"
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Adaptive convolution kernel for artificial neural networks
(Academic Press Inc., 202102)Many deep neural networks are built by using stacked convolutional layers of fixed and single size (often 3 × 3) kernels. This paper describes a method for learning the size of convolutional kernels to provide varying size ... 
Analysis of Nonlinear Dynamics of Neural Networks
(Hindawi Publishing Corporation, 2013)[No abstract available] 
Analytical approximate solutions for nonplanar Burgers equations by weighted residual method
(Elsevier B.V., 20200813)In this work, analytical approximate progressive wave solutions for the generalized form of the nonplanar KdVBurgers (KdVB) and mKdVBurgers (mKdVB) equations are presented and the results are discussed. Motivated with ... 
Analytical solutions of cylindrical and spherical dust ionacoustic solitary waves
(Elsevier B.V., 201906)In the present work, employing the conventional reductive perturbation method to the field equations of an unmagnetized dusty plasma consisting of inertial ions, Boltzmann electrons and stationary dust particles in the ... 
An application of modified reductive perturbation method to symmetric regularizedlongwave
(Işık University Press, 20110324)In this work, we extended the application of "the modified reductive perturbation method" to symmetrical regularized long waves with quadratic nonlinearity and obtained various form of KdV equations as the governing ... 
An application of the modified reductive perturbation method to a generalized boussinesq equation
(Walter De Gruyter Gmbh, 201302)In this work, we apply "the modified reductive perturbation method" to the generalized Boussinesq equation and obtain various form of generalized KdV equations as the evolution equations. Seeking a localized travelling ... 
An approximate wave solution for perturbed KDV and dissipative NLS equations: weighted residual method
(Işık University Press, 20190621)In the present work, we modified the conventional "weighted residual method" to some nonlinear evolution equations and tried to obtain the approximate progressive wave solutions for these evolution equations. For the ... 
Asymptotic solutions of love wave propagation in a covered halfspace with inhomogeneous initial stresses G(3)(1)
(Işık University Press, 2015)The dispersive behavior of Love waves in an elastic halfspace substrate covered by an elastic layer under the effect of inhomogeneous initial stresses has been investigated. Classical linearized theory of elastic waves ... 
Classification of minimal Lorentzian surfaces in S2(4) (1) with Constant Gaussian and normal curvatures
(Mathematical Society of The Repulic Of China, 201612)In this paper we consider Lorentzian surfaces in the 4dimensional pseudo Riemannian sphere S2(4)(1) with index 2 and curvature one. We obtain the complete classification of minimal Lorentzian surfaces S2(4)(1) whose ... 
Closetoconvex functions defined by fractional operator
(2013)Let S denote the class of functions f(z) = z + a2z2+... analytic and univalent in the open unit disc D = {z ∈ Cz<1}. Consider the subclass and S* of S, which are the classes ofconvex and starlike functions, respectively. ... 
Contribution of higher order terms to the nonlinear shallow water waves
(Işık University Press, 20120512)In this work, by utilizing the scaled multiplespace expansion method, we studied the propagation of weakly nonlinear waves in shallow water and obtained the governing evolution equations of various order terms in the ... 
Dendrimers are the unique chemical trees with maximum spectral radius
(Univ Kragujevac, 2012)It is shown that dendrimers have maximum spectral radius and maximum CollatzSinogowitz index among all chemical trees of given size. The result is also generalized for the class of chemical trees with prescribed number ... 
Epidemiyolojideki kompartman modellerinin eşlenmiş Hamilton analizi
(TÜBİTAK ULAKBİM TR Dizin, 20210113)Epidemiyolojideki SIR, SEIR, 2SIR ve 2SEIR modellerinin Hamilton formülasyonu verildi. Eşlenmiş LiePoisson sistemleri yazıldı. SIR ve SEIR modellerinin eşlenmiş LiePoisson sistemi oldukları gösterildi. Bir Lie cebiri ... 
Eşlenmiş Lie grupları üzerindeki Lagrange fark denklemleri
(TÜBİTAK ULAKBİM TR Dizin, 20210309)Bu makalede, kesikli (discrete) dinamiğin Lagrange formülasyonu eşlenmiş (matched pair) Lie grupları üzerinde çalışılmıştır. Sonuç olarak, karşılıklı etkileşim altındaki iki sistemin kolektif davranışını belirleyen eşlenmiş ... 
An extension of a boundedness result for singular integral operators
(Polska Akademia Nauk, 20160330)We study some operators originating from classical Littlewood–Paley the ory. We consider their modification with respect to our discontinuous setup, where the un derlying process is the product of a onedimensional ... 
Extension of mikhlin multiplier theorem to fractional derivatives and stable processes
(Walter De Gruyter GMBH, 20180425)In this paper, we prove a new generalized Mikhlin multiplier theorem whose conditions are given with respect to fractional derivatives in integral forms with two different integration intervals. We also discuss the connection ... 
Fractional Hankel and Bessel wavelet transforms of almost periodic signals
(Springer International Publishing, 20151209)The main objective of this paper is to study the Hankel, fractional Hankel, and Bessel wavelet transforms using the Parseval relation. We construct a generalized frame and write new relations and inequalities using almost ... 
Generalized frames in the space of strong limit power functions
(Springer Basel AG, 201302)By using the existence of a larger orthonormal basis, the space of strong limit power functions is extended. We use the windowed Fourier transform and wavelet transform to analyze strong limit power signals and we construct ... 
Geometric representations and symmetries of graphs, maps and other discrete structures and applications in science
(Tübitak, 201509)Bu proje çalışmasının birinci amacı çizgelerin özdeğer ve özvektör yapılarını çizge özellik ve sabitleri ile ilişkilendirmektir. İkinci amacı biyoloji, bioinformatik, dinamik sistemler, haberleşme, kriptoloji ve sosyal ... 
Graphs with given degree sequence and maximal spectral radius
(Electronic Journal of Combinatorics, 20080915)We describe the structure of those graphs that have largest spectral radius in the class of all connected graphs with a given degree sequence. We show that in such a graph the degree sequence is nonincreasing with respect ...