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  • Positive solutions for a sum-type singular fractional integro-differential equation with m-point boundary conditions 

    Aydoğan, Seher Melike; Nazemi, Sayyedeh Zahra; Rezapour, Sh H. (Politechnica University of Bucharest, 2017)
    We study the existence and uniqueness of positive solutions for a sum-type singular fractional integro-differential equation with m-point boundary condition. Also, we provide an example to illustrate our main result.
  • An investigation of the certain class of multivalent harmonic mappings 

    Aydoğan, Seher Melike; Özkan Uçar, Hatice Esra; Polatoǧlu, Yaşar (Eudoxus Press, 2016-03)
    The main purpose of the present paper is to investigate some properties of the certain class of sense-preserving p-valent harmonic mappings in the open unit disc D = {z is an element of C parallel to z vertical bar < 1}.
  • On submanifolds with 2-Type Pseudo-Hyperbolic Gauss Map in Pseudo-Hyperbolic Space 

    Dursun, Uğur; Şen, Rüya Yeğin (Birkhauser Verlag AG, 2017-02-01)
    In this paper, we study pseudo-Riemannian submanifolds of a pseudo-hyperbolic space Hsm-1(-1)⊂Es+1m with 2-type pseudo-hyperbolic Gauss map. We give a characterization of proper pseudo-Riemannian hypersurfaces in ...
  • Hochschild cohomology of reduced incidence algebras 

    Sütlü, Serkan; Kaygun, Atabey; Kanuni Er, Müge (World Scientific Publishing Co. Pte Ltd., 2016)
    We compute the continuous Hochschild cohomology of four reduced incidence algebras: the algebra of formal power series, the algebra of exponential power series, the algebra of Eulerian power series, and the algebra of ...
  • On submanifolds of pseudo-hyperbolic space with 1-type pseudo-hyperbolic gauss map 

    Dursun, Uğur; Yeğin, Rüya; TR3460 (B. Verkin Institute for Low Temperature Physics and Engineering, 2016)
    In this paper, we examine pseudo-Riemannian submanifolds of a pseudo-hyperbolic space ℍm-1 s (-1) ⊂ Em s+1 with finite type pseudo-hyperbolic Gauss map. We begin by providing a characterization of pseudo-Riemannian sub- ...
  • Classification of minimal Lorentzian surfaces in S2 4 (1) with constant Gaussian and normal curvatures 

    Dursun, Uğur; Turgay, Nurettin Cenk (Mathematical Society of The Rep. Of China, 2016)
    In this paper we consider Lorentzian surfaces in the 4-dimensional 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 ...
  • Lagrangian dynamics on matched pairs 

    Sütlü, Serkan; Esen, Oǧul (Elsevier B.V., 2017-01-01)
    Given a matched pair of Lie groups, we show that the tangent bundle of the matched pair group is isomorphic to the matched pair of the tangent groups. We thus obtain the Euler–Lagrange equations on the trivialized matched ...
  • Hamiltonian dynamics on matched pairs 

    Sütlü, Serkan (World Scientific Publishing Co., 2016)
    The cotangent bundle of a matched pair Lie group, and its trivialization, are shown to be a matched pair Lie group. The explicit matched pair decomposition on the trivialized bundle is presented. On the trivialized space, ...
  • Hopf-cyclic cohomology of quantum enveloping algebras 

    Kaygun, Atabey; Sütlü, Serkan (European Mathematical Society Publishing House, 2016)
    In this paperwe calculate both the periodic and non-periodic Hopf-cyclic cohomology of Drinfeld-Jimbo quantum enveloping algebra Uq.g/ for an arbitrary semi-simple Lie algebra g with coefficients in a modular pair in ...
  • Pseudo-Spherical Submanifolds with 1-Type Pseudo-Spherical Gauss Map 

    Bektaş, Burcu; Canfes, Elif Özkara; Dursun, Uǧur (Birkhauser Verlag AG, 2016-05-28)
    In this work, we study pseudo-Riemannian submanifolds of a pseudo-sphere with 1-type pseudo-spherical Gauss map. First, we classify Lorentzian surfaces in a 4-dimensional pseudo-sphere (Formula presented.) with index s, ...
  • On spherical submanifolds with finite type spherical Gauss map 

    Bektaş, Burcu; Dursun, Uğur (Walter de Gruyter GmbH, 2016-04-01)
    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 double-struck Sm-1 has non-mass-symmetric ...
  • A multiplier related to symmetric stable processes 

    Karlı, Deniz (Hacettepe University, 2016-04-15)
    In two recent papers [5] and [6], we generalized some classical results of Harmonic Analysis using probabilistic approach by means of a d- dimensional rotationally symmetric stable process. These results allow one to discuss ...
  • An extension of a boundedness result for singular integral operators 

    Karlı, Deniz (Polska Akademia Nauk, 2016-03-30)
    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 one-dimensional ...
  • Modulation of electron-acoustic waves in a plasma with kappa distribution 

    Demiray, Hilmi (American Institute of Physics Inc., 2016-03)
    In the present work, employing a one dimensional model of an unmagnetized collisionless plasma consisting of a cold electron fluid, hot electrons obeying κ velocity distribution, and stationary ions, we study the amplitude ...
  • Characteristic classes of foliations via SAYD-twisted cocycles 

    Rangipour, Bahram; Sütlü, Serkan (European Mathematical Society, 2015)
    We find the first non trivial “SAYD-twisted” cyclic cocycle over the groupoid action algebra under the symmetry of the affine linear transformations of the Euclidian space. We apply the cocycle to construct a characteristic ...
  • Fractional Hankel and Bessel wavelet transforms of almost periodic signals 

    Ünalmış Uzun, Banu (Springer International Publishing, 2015-12-09)
    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 ...
  • A note on the cylindrical solitary waves in an electron-acoustic plasma with vortex electron distribution 

    Demiray, Hilmi; Bayındır, Cihan (Amer Inst Physics, 2015-09)
    In the present work, we consider the propagation of nonlinear electron-acoustic non-planar waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions. ...
  • Harmonic mappings related to the m-fold starlike functions 

    Aydoğan, Seher Melike; Polatoplu, Yaşar; Kahramaner, Yasemin (Elsevier Science Inc, 2015-09-15)
    In the present paper we will give some properties of the subclass of harmonic mappings which is related to m-fold starlike functions in the open unit disc D = {z parallel to z vertical bar < 1}. Throughout this paper we ...
  • On the class of harmonic mappings which is related to the class of bounded boundary rotation 

    Aydoğan, Seher Melike; Polatoğlu, Yaşar; Kahramaner, Yasemin (Elsevier Science Inc, 2015-09-15)
    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 head-on collision between two solitary waves in shallow water: the use of the extended PLK method 

    Demiray, Hilmi; Özden, Ali Erinç (Springer, 2015-10-01)
    In the present work, we examined the head-on 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 ...

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