FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics
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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 ... 
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, 20180101)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 ... 
On unfair permutations
(Elsevier Science BV, 20181001)In this paper we study the inverse of socalled unfair permutations. Our investigation begins with comparing this class of permutations with uniformly random permutations, and showing that they behave very much alike in ... 
Hopfcyclic cohomology of the ConnesMoscovici Hopf algebras with infinite dimensional coefficients
(Springer Heidelberg, 20181201)We discuss a new strategy for the computation of the Hopfcyclic cohomology of the ConnesMoscovici Hopf algebra Hn. More precisely, we introduce a multiplicative structure on the Hopfcyclic complex of Hn, and we show ... 
Exact solution of perturbed Kdv equation with variable dissipation coefficient
(Ministry Communicatios & High Technologies Republic Azerbaijan, 2017)In the present work we study the integrability condition for a variable coefficient KortewegdeVries(KdV) equation. For that purpose, we first introduce some proper transformations for dependent and independent variables ... 
On approximate solutions for two higherorder CaputoFabrizio fractional integrodifferential equations
(Springer International Publishing AG, 20170803)We investigate the existence of solutions for two highorder fractional differential equations including the CaputoFabrizio derivative. In this way, we introduce some new tools for obtaining solutions for the highorder ... 
On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions
(Springer International Publishing AG, 20170602)We state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power signals. We construct frame ... 
A characteristic map for compact quantum groups
(Springer Heidelberg, 201709)We show that if G is a compact Lie group and g is its Lie algebra, then there is a map from the Hopfcyclic cohomology of the quantum enveloping algebra Uq(g) to the twisted cyclic cohomology of quantum group algebra ... 
Hopfdihedral (co)homology and Ltheory
(European Mathematical Soc, 2018)We develop an appropriate dihedral extension of the ConnesMoscovici characteristic map for Hopf *algebras. We then observe that one can use this extension together with the dihedral Chern character to detect nontrivial ... 
Cylindrical and spherical solitary waves in an electronacoustic plasma with vortex electron distribution
(Amer Inst Physics, 201804)We consider the nonlinear propagation of electronacoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortexlike distribution, and stationary ions. The basic nonlinear equations ... 
Subclass of mquasiconformal harmonic functions in association with Janowski starlike functions
(Elsevier Science Inc, 20180215)Let's take f(z) = h (z) + <(g(z))over bar> which is an univalent sensepreserving harmonic functions in open unit disc D = {z : vertical bar z vertical bar < 1}. If f (z) fulfills vertical bar w(z)vertical bar = ...