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Proceedings of International Conference on Applied Analysis and Mathematical Modeling 2013

This thematic Series originates from the International Conference on Applied Analysis and Mathematical Modeling which will be held on 2-5 June 2013 in Istanbul. It is focused on new ideas in the area on boundary value problems and related topics. The studies of boundary value problems for ordinary and partial differential equations are driven not only by a theoretical interest but also by the fact that several phenomena in engineering, various fields of physics and modeling and numerical simulations assisted by computer algebra systems.

Edited by: Mustafa Bayram and Adem Kilicman

  1. Research

    On Volterra-type integral equations in noncompact metric space

    In the present work, we consider one of the possible generalizations of linear and nonlinear Volterra integral equations of the second kind in the case when the independent variable belongs to an arbitrary non...

    Andrey Zahariev, Atanaska Georgieva and Lozanka Trenkova

    Journal of Inequalities and Applications 2014 2014:260

    Published on: 22 July 2014

  2. Research

    Chlodowsky variant of q-Bernstein-Schurer-Stancu operators

    It was Chlodowsky who considered non-trivial Bernstein operators, which help to approximate bounded continuous functions on the unbounded domain. In this paper, we introduce the Chlodowsky variant of q-Bernstein-...

    Tuba Vedi and Mehmet Ali Özarslan

    Journal of Inequalities and Applications 2014 2014:189

    Published on: 13 May 2014

  3. Research

    A note on geometrically convex functions

    In this paper, we establish several new inequalities for twice differentiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality.

    Muhamet Emin Özdemir, Çetin Yildiz and Mustafa Gürbüz

    Journal of Inequalities and Applications 2014 2014:180

    Published on: 12 May 2014

  4. Research

    The extended Mittag-Leffler function and its properties

    In this paper, we present the extended Mittag-Leffler functions by using the extended Beta functions (Chaudhry et al. in Appl. Math. Comput. 159:589-602, 2004) and obtain some integral representations of them. Th...

    Mehmet Ali Özarslan and Banu Yılmaz

    Journal of Inequalities and Applications 2014 2014:85

    Published on: 20 February 2014

  5. Research

    Lacunary Δ-statistical convergence in intuitionistic fuzzy n-normed space

    The concept of lacunary statistical convergence was introduced in intuitionistic fuzzy n-normed spaces in Sen and Debnath (Math. Comput. Model. 54:2978-2985, 2011). In this article, we introduce the notion of lac...

    Selma Altundağ and Esra Kamber

    Journal of Inequalities and Applications 2014 2014:40

    Published on: 24 January 2014

  6. Research

    Approximate solutions for MHD squeezing fluid flow by a novel method

    In this paper, a steady axisymmetric MHD flow of two-dimensional incompressible fluids has been investigated. The reproducing kernel Hilbert space method (RKHSM) has been implemented to obtain a solution of th...

    Mustafa Inc and Ali Akgül

    Boundary Value Problems 2014 2014:18

    Published on: 16 January 2014

  7. Research

    Some approximation results for generalized Kantorovich-type operators

    In this paper, we construct a new family of operators, prove some approximation results in A-statistical sense and establish some direct theorems for Kantorovich-type integral operators.

    Mohammad Mursaleen, Faisal Khan, Asif Khan and Adem Kiliçman

    Journal of Inequalities and Applications 2013 2013:585

    Published on: 17 December 2013

  8. Research

    Inverse nodal problem for p-Laplacian energy-dependent Sturm-Liouville equation

    In this study, the inverse nodal problem is solved for p-Laplacian Schrödinger equation with energy-dependent potential function with the Dirichlet conditions. Asymptotic estimates of eigenvalues, nodal points an...

    Hikmet Koyunbakan

    Boundary Value Problems 2013 2013:272

    Published on: 12 December 2013

    The Erratum to this article has been published in Boundary Value Problems 2014 2014:222

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