Browsing FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics by Title
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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 extensions, LiePoisson systems, and dissipation
(Heldermann Verlag, 20220706)LiePoisson systems on the dual spaces of unified products are studied. Having been equipped with a twisted 2cocycle term, the extending structure framework allows not only to study the dynamics on 2cocycle extensions, ... 
On headon collision between two solitary waves in shallow water: the use of the extended PLK method
(Springer, 201510)In the present work, we examined the headon collision of solitary waves in shallow water theory, through the use of extended Poincare–Lighthill–Kuo (PLK) method based on the combination of reductive perturbation method ... 
On progressive wave solution for nonplanar KDV equation in a plasma with qnonextensive electrons and two oppositely charged ions
(Işık University Press, 2020)In this paper, the ionacoustic wave is investigated in a plasma with qnonextensive electrons and two oppositely charged ions with varying masses. These parameters are found to modify the linear dispersion relation and ... 
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 ... 
On spacelike rotational surfaces with pointwise 1type gauss map
(Korean Mathematical Soc, 201501)In this paper, we study a class of spacelike rotational surfaces in the Minkowski 4spade E1(4) with meridian curves lying in 2dimensional spacelike planes and having pointwise 1type Gauss map. We obtain all such surfaces ... 
On spherical submanifolds with finite type spherical Gauss map
(Walter De Gruyter GMBH, 20160401)Chen and Lue (2007) initiated the study of spherical submanifolds with finite type spherical Gauss map. In this paper, we firstly prove that a submanifold Mn of the unit sphere doublestruck Sm1 has nonmasssymmetric ... 
On submanifolds of pseudohyperbolic space with 1type pseudohyperbolic gauss map
(B. I. Verkin Institute for Low Temperature Physics and Engineering, 2016)In this paper, we examine pseudoRiemannian submanifolds of a pseudohyperbolic space ℍm1 s (1) ⊂ Em s+1 with finite type pseudohyperbolic Gauss map. We begin by providing a characterization of pseudoRiemannian sub ... 
On submanifolds with 2Type PseudoHyperbolic Gauss Map in PseudoHyperbolic space
(Birkhauser Verlag AG, 201702)In this paper, we study pseudoRiemannian submanifolds of a pseudohyperbolic space Hsm1(1)⊂Es+1m with 2type pseudohyperbolic Gauss map. We give a characterization of proper pseudoRiemannian hypersurfaces in ... 
On the class of harmonic mappings which is related to the class of bounded boundary rotation
(Elsevier Science Inc, 20150915)The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero ... 
On the contribution of higher order terms to solitary waves in fluid filled elastic tubes
(Birkhauser Verlag, 200001)In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, the propagation of weakly nonlinear waves, in ... 
On the derivation of some nonlinear evolution equations and their progressive wave solutions
(PergamonElsevier Science, 200306)In the present work, utilizing the reductive perturbation method, the nonlinear equations of a prestressed viscoelastic thick tube filled with a viscous fluid are examined in the longwave approximation and some evolution ... 
On the existence of some evolution equations in fluidfilled elastic tubes and their progressive wave solutions
(PergamonElsevier Science Ltd., 200409)In the present work, by employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin elastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence ... 
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 ... 
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 ... 
On the Hochschild homology of smash biproducts
(Elsevier B.V., 202102)We develop a new spectral sequence in order to calculate the Hochschild homology of smash biproducts (also called the twisted tensor products) of unital associative algebras A#B provided one of A or B has Hochschild dimension ... 
On the realization of optical mappings and transformation of amplitudes by means of an aspherical "thick" lens
(Gustav Fischer Verlag, 2000)The constraints for the realization of a given optical mapping by means of an aspherical ''thick" lens are investigated by using the laws of geometrical optics. The analysis yields us a partial differential equation which ... 
On the third boundary value problem for parabolic equations in a nonregular domain of Rᴺ +1
(Işık University Press, 2016)In this paper, we look for sufficient conditions on the lateral surface of the domain and on the coefficients of the boundary conditions of a N−space dimensional linear parabolic equation, in order to obtain existence, ... 
On travelling wave solutions of a generalized DaveyStewartson system
(Oxford Univ Press, 200502)The generalized DaveyStewartson (GDS) equations, as derived by Babaoglu & Erbay (2004, Int. J. NonLinear Mech., 39, 941949), is a system of three coupled equations in (2 + 1) dimensions modelling wave propagation in an ... 
On unfair permutations
(Elsevier Science BV, 201810)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 ...