FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics
Recent Submissions

Higher order approximations in reductive perturbation method: Strongly dispersive waves
(200508)Contribution of higher order terms in the perturbation expansion for the strongly dispersive ionplasma waves is examined through the use of modified reductive perturbation method developed early by us. It is shown that ... 
On some nonlinear waves in fluidfilled viscoelastic tubes: Weakly dispersive case
(200506)By employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin viscoelastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence of some ... 
Generalized circles in Weyl spaces and their conformal mapping
(Kossuth Lajos Tudomanyegyetem, Matematikai Intezet Nagyerdeikorut, 200202)In this paper, generalized circles in a Weyl space are defined and the system of differential equations satisfied by them is obtained. Furthermore, after having given the necessary and sufficient conditions for generalized ... 
Harmonic mappings related to Janowski convex functions of complex order b
(2013)Let SH be the class of all sensepreserving harmonic mappings in the open unit disc D = {z ∈ ℂz < 1}. In the present paper the authors investigate the properties of the class of harmonic mappings which is based on the ... 
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. ... 
Notes on starlike logharmonic functions of order α
(2013)For logharmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*LH(?) and G*LH(?) of S*LH(?) consisting of all starlike logharmonic functions of order ? (0 ? ? < 1) are considered. The object of ... 
Modulational instability of three dimensional waves in a plasma with vortex electron distribution
(Turkic World Mathematical Soc, 2019)In the present work, employing the three dimensional equations of a plasma composed of a cold electron fluid, hot electrons obeying a trapped / vortexlike distribution, and stationary ions, we study the amplitude modulation ... 
Modulation of generalized symmetric regularized longwave equation: Generalized nonlinear schrödinger equation
(Freund Publishing House Ltd., 201012)In this work, the application of "the modified reductive perturbation method" is extended to the generalized symmetric regularized longwave equation for strongly dispersive case and the contribution of higher order terms ... 
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 ... 
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 ... 
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.