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Recent Trends on Applied Mathematics And Modeling

This thematic series hosts selective papers presented in ICAAA2012-Istanbul. This issue is focused on recent trends and new ideas in the area of Applied Mathematics and Modeling.

Edited by: Mustafa Bayram and Selcuk Kutluay

  1. Research

    Dark soliton and periodic wave solutions of nonlinear evolution equations

    This paper studies the Kudryashov-Sinelshchikov and Jimbo-Miwa equations. Subsequently, we formally derive the dark (topological) soliton solutions for these equations. By using the sine-cosine method, some ad...

    Özkan Güner, Ahmet Bekir and Adem Cengiz Cevikel

    Advances in Difference Equations 2013 2013:68

    Published on: 21 March 2013

  2. Research

    Dual identities in fractional difference calculus within Riemann

    We investigate two types of dual identities for Riemann fractional sums and differences. The first type relates nabla- and delta-type fractional sums and differences. The second type represented by the Q-operator...

    Thabet Abdeljawad

    Advances in Difference Equations 2013 2013:36

    Published on: 15 February 2013

  3. Research

    The numerical solution of partial differential-algebraic equations

    In this paper, a numerical solution of partial differential-algebraic equations (PDAEs) is considered by multivariate Padé approximations. We applied this method to an example. First, PDAE has been converted t...

    Muhammed Yigider and Ercan Çelik

    Advances in Difference Equations 2013 2013:8

    Published on: 10 January 2013

  4. Research

    On the generalized Hartley-Hilbert and Fourier-Hilbert transforms

    In this paper, we discuss Hartley-Hilbert and Fourier-Hilbert transforms on a certain class of generalized functions. The extended transforms considered in this article are shown to be well-defined, one-to-one...

    SKQ Al-Omari and A Kılıçman

    Advances in Difference Equations 2012 2012:232

    Published on: 28 December 2012

  5. Research

    Lie symmetry analysis of the time-variable coefficient B-BBM equation

    We perform Lie group classification of a time-variable coefficient combined Burgers and Benjamin-Bona-Mahony equations (B-BBM equation). The direct analysis of the determining equations is employed to specify ...

    Motlatsi Molati and Chaudry Masood Khalique

    Advances in Difference Equations 2012 2012:212

    Published on: 11 December 2012

  6. Research

    Unification of probability theory on time scales

    The theory of time scales was introduced by Stefan Hilger in his PhD thesis in 1988 in order to unify continuous and discrete analysis. Probability is a discipline in which appears to be many applications of t...

    Ünal Ufuktepe

    Advances in Difference Equations 2012 2012:211

    Published on: 10 December 2012

  7. Research

    Curvature-driven diffusion-based mathematical image registration models

    This paper introduces several mathematical image registration models. Image registration, an ill-posed optimization problem, is formulated as the minimization of the sum of an image similarity metric and a reg...

    Mehmet Ali Akinlar, Muhammet Kurulay, Aydin Secer and Mehmet Celenk

    Advances in Difference Equations 2012 2012:193

    Published on: 7 November 2012