Matematik Bölümü / Department of Mathematics
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FEF  Bildiri Koleksiyonu  Matematik Bölümü / Department of Mathematics [13]
Matematik Bölümüne ait bildirileri içerir. 
FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics [176]
Matematik Bölümüne ait koleksiyonu içerir.
Recent Submissions

Variable coefficient KortewegdeVries equation in fluidfilled elastic tubes
(Technical University Liberec, 20110905)In the present work, treating the arteries as a prestressed thin elastic tube with a stenosis and the blood as an inviscid fluid, we have studied the propagation of weakly nonlinear waves in such a medium by use of the ... 
Classification of surfaces in a pseudo‐sphere with 2‐type pseudo‐spherical Gauss map
(Wiley, 201711)In this article, we study submanifolds in a pseudosphere with 2type pseudospherical Gauss map. We give a characterization theorem for Lorentzian surfaces in the pseudosphere S2(4) subset of E2(5) with zero mean curvature ... 
Asymptotic solutions of love wave propagation in a covered halfspace with inhomogeneous initial stresses G(3)(1)
(Turkic World Mathematical Soc, 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 ... 
CrossSectional Thermoacoustic Imaging Using MultiLayer Cylindrical Media
(IEEE, 20170819)For crosssectional twodimensional thermoacustic imaging of breast and brain, we explored solution of the wave equation using layered tissue model consisting of concentric annular layers on a cylindrical crosssection. ... 
Classification of surfaces in a pseudosphere with 2type pseudospherical Gauss map
(Wiley, 201711)In this article, we study submanifolds in a pseudosphere with 2type pseudospherical Gauss map. We give a characterization theorem for Lorentzian surfaces in the pseudosphere S2(4) subset of E2(5) with zero mean curvature ... 
Topological Hopf algebras and their Hopfcyclic cohomology
(Taylor and Francis, 20190129)A natural extension of the Hopfcyclic cohomology, with coefficients, is introduced to encompass topological Hopf algebras. The topological theory allows to work with infinite dimensional Lie algebras. Furthermore, the ... 
An inverse source problem connected with thermoacoustic imaging in multilayer planar medium
(Springer, 20190220)We derived analytical forward and inverse solution of thermoacoustic wave equation for nonhomogeneous medium. We modelled the nonhomogeneous medium as a multilayer planar medium and defined initial conditions, continuity ... 
Classification of surfaces in a pseudosphere with 2type pseudospherical Gauss map
(Wiley, 201711)In this article, we study submanifolds in a pseudosphere with 2type pseudospherical Gauss map. We give a characterization theorem for Lorentzian surfaces in the pseudosphere S2(4) subset of E2(5) with zero mean curvature ... 
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 ... 
Modulational instability of acoustic waves in a dusty plasma with nonthermal electrons and trapped ions
(PergamonElsevier Science Ltd, 201904)In the present work, employing the nonlinear field equations of a hot dusty plasma in the presence of nonthermal electrons and trapped ions, we studied the amplitude modulation of nonlinear waves in such a plasma medium ... 
Thermoacoustic image reconstruction based on layered tissue model
(SPIEInt Soc Optical Engineering, 2017)We derived analytical forward and inverse solution of thermoacoustic wave equation for inhomogeneous multi layered planar and cylindrical mediums with the source distribution existing in all layers. These solutions are ... 
Çok katmanlı silindirik yapılar için termoakustik dalga denkleminin ters çözümü
(IEEE, 2017)Thermoacoustic imaging is a new modality of generating ultrasonic waves with excitation of electromagnetic pulsed energy. Thermoacoustic imaging is based on the inverse soluion of thermoacoustic wave equation. Homogeneous ... 
Çok katmanlı düzlemsel ortam için termoakustik dalga denkleminin çözümü
(IEEE, 2017)In this study, we derive analytical forward and inverse solution of thermoacoustic wave equation for inhomogeneous multilayer planar medium, where the source distribution can exist in all layers with different acoustic ... 
On the Fractional Sums of Some Special Functions
(Springer Basel AG, 201903)We obtain new relations involving the Lerch transcendent and establish some closedform expressions using special functions like the Riemann and Hurwitz zeta functions and fractional sums. We also get some formulae for the ... 
Headon collision of the solitary waves in fluidfilled elastic tubes
(Turkic World Mathematical Soc, 20180101)In the present work, by employing the field equations given in [15] and the extended PLK method derived in [9], we have studied the headon collision of solitary waves in arteries. Introducing a set of stretched coordinates ... 
Higher order perturbation expansion for ionacoustic solitary waves with qnonextensive nonthermal velocity distribution
(Turkic World Mathematical Soc, 2018)The basic nonlinear equations describing the dynamics of a two component plasma consisting of cold positive ions and electrons obeying hybrid qnonextensive nonthermal velocity distribution are examined through the use of ... 
nTuplet coincidence point theorems in partially ordered probabilistic metric spaces
(Hindawi Ltd, 2018)In this paper, we investigate existence of ntuplet coincidence point theorems in partially ordered probabilistic metric spaces. Also, we gave uniqueness of ntuplet fixed point theorems in this space. 
Extension of mikhlin multiplier theorem to fractional derivatives and stable processes
(Walter De Gruyter GMBH, 20180401)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 ... 
Modulation of cylindrical (spherical) waves in a plasma with vortex electron distribution
(American Institute of Physics Inc., 20180701)In the present work, employing cylindrically (spherically) symmetric field equations of a plasma consisting of a cold electron fluid, hot electrons obeying a trapped/vortexlike distribution and stationary ions, we studied ... 
Minimal rotational surfaces in the product space Q(?)(2) X S1
(World Scientific Publ Co Pte Ltd, 20180701)In this work, we study minimal rotational surfaces in the product space Q(2)epsilon x S1, where Q(2)epsilon denotes either the unit 2sphere S2 or the 2dimensional hyperbolic space H2 of constant curvature 1, according ...