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Applied Mathematics

Section Editor: Panos Pardalos

Panos M. Pardalos serves as Distinguished Professor of Industrial and Systems Engineering at the University of Florida. Additionally, he is the Director of the Center for Applied Optimization. Dr. Pardalos is a world leading expert in global and combinatorial optimization. His recent research interests include network design problems, optimization in telecommunications, e-commerce, data mining, biomedical applications, and massive computing.

He is also the Paul and Heidi Brown Preeminent Professor in Industrial & Systems Engineering, and is an affiliated faculty member of the Computer and Information Science Department, the Hellenic Studies Center, and the Biomedical Engineering Program

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  1. In the present work, we introduce an improved version of the hyperspheres path tracking method adapted for piecewise linear (PWL) circuits. This enhanced version takes advantage of the PWL characteristics fro...

    Authors: A. Ramirez-Pinero, H. Vazquez-Leal, V. M. Jimenez-Fernandez, H. M. Sedighi, M. M. Rashidi, U. Filobello-Nino, R. Castaneda-Sheissa, J. Huerta-Chua, L. A. Sarmiento-Reyes, J. R. Laguna-Camacho and F. Castro-Gonzalez

    Citation: SpringerPlus 2016 5:890

    Content type: Research

    Published on:

  2. By using the modified Milne-Thomson’s polynomial given in Araci et al. (Appl Math Inf Sci 8(6):2803–2808, 2014), we introduce a new concept of the Apostol Hermite–Genocchi polynomials. We also perform a further i...

    Authors: Serkan Araci, Waseem A. Khan, Mehmet Acikgoz, Cenap Özel and Poom Kumam

    Citation: SpringerPlus 2016 5:860

    Content type: Research

    Published on:

  3. Language is characterized by both ecological properties and social properties, and competition is the basic form of language evolution. The rise and decline of one language is a result of competition between l...

    Authors: Jian Yun, Song-Chao Shang, Xiao-Dan Wei, Shuang Liu and Zhi-Jie Li

    Citation: SpringerPlus 2016 5:855

    Content type: Research

    Published on:

  4. Production planning models are achieving more interest for being used in the primary sector of the economy. The proposed model relies on the formulation of a location model representing a set of farms suscept...

    Authors: Jordi Mateo, Lluis M. Pla, Francesc Solsona and Adela Pagès

    Citation: SpringerPlus 2016 5:839

    Content type: Research

    Published on:

  5. In this paper, by using the C-class functions and a new approach we present some coincidence point results for four mappings satisfying generalized http://static-content.springer.com/image/art%3A10.1186%2Fs40064-016-2481-1/40064_2016_2481_Article_IEq3.gif

    Authors: Zead Mustafa, Mohammed M. M. Jaradat, Arslan Hojat Ansari, Branislav Z. Popović and Husein M. Jaradat

    Citation: SpringerPlus 2016 5:802

    Content type: Research

    Published on:

  6. In this paper, firstly, new Hermite–Hadamard type inequalities for harmonically convex functions in fractional integral forms are given. Secondly, Hermite–Hadamard–Fejer inequalities for harmonically convex f...

    Authors: Mehmet Kunt, İmdat İşcan, Nazlı Yazıcı and Uğur Gözütok

    Citation: SpringerPlus 2016 5:635

    Content type: Research

    Published on:

  7. In the framework of complete probabilistic Menger metric spaces, this paper investigates some relevant properties of convergence of sequences built through sequences of operators which are either uniformly con...

    Authors: Manuel De la Sen, Asier Ibeas and Jorge Herrera

    Citation: SpringerPlus 2016 5:557

    Content type: Research

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  8. The Laguerre polynomials have been extended to Laguerre matrix polynomials by means of studying certain second-order matrix differential equation. In this paper, certain second-order matrix q-difference equation ...

    Authors: Ahmed Salem

    Citation: SpringerPlus 2016 5:550

    Content type: Research

    Published on:

  9. Based on a new trial function, an analytical coupled technique (a combination of homotopy perturbation method and variational method) is presented to obtain the approximate frequencies and the corresponding pe...

    Authors: Md. Abdur Razzak and Md. Shamsul Alam

    Citation: SpringerPlus 2016 5:456

    Content type: Research

    Published on:

  10. The paper presents a significant improvement to the implementation of the spectral relaxation method (SRM) for solving nonlinear partial differential equations that arise in the modelling of fluid flow proble...

    Authors: Vusi M. Magagula, Sandile S. Motsa, Precious Sibanda and Phumlani G. Dlamini

    Citation: SpringerPlus 2016 5:455

    Content type: Research

    Published on:

  11. In this paper, we present a numerical scheme used to solve the nonlinear time fractional Navier–Stokes equations in two dimensions. We first employ the meshless local Petrov–Galerkin (MLPG) method based on a l...

    Authors: N. Thamareerat, A. Luadsong and N. Aschariyaphotha

    Citation: SpringerPlus 2016 5:417

    Content type: Research

    Published on:

  12. In this article, we focus on linear and nonlinear fuzzy Volterra integral equations of the second kind and we propose a numerical scheme using homotopy perturbation method (HPM) to obtain fuzzy approximate sol...

    Authors: S. Narayanamoorthy and S. P. Sathiyapriya

    Citation: SpringerPlus 2016 5:387

    Content type: Research

    Published on:

  13. This paper deals with the stability analysis and fuzzy stabilizing controller design for a class of Takagi–Sugeno fuzzy singular systems with interval time-varying delay and linear fractional uncertainties. By...

    Authors: Chao Sun, Fuli Wang and Xiqin He

    Citation: SpringerPlus 2016 5:349

    Content type: Research

    Published on:

  14. In this paper, we consider the numerical simulations of an extended nonlinear form of Kierstead–Slobodkin reaction-transport system in one and two dimensions. We employ the popular fourth-order exponential tim...

    Authors: Kolade M. Owolabi and Kailash C. Patidar

    Citation: SpringerPlus 2016 5:303

    Content type: Research

    Published on:

  15. We prove the existence and uniqueness of fixed points of T-stability for an iteration on partial cone metric space of Zamfirescu contraction. As an application, we prove a theorem for integral equation. We als...

    Authors: Thokchom Chhatrajit and Yumnam Rohen

    Citation: SpringerPlus 2016 5:284

    Content type: Review

    Published on:

  16. This paper is concerned with two-point boundary value problems for singularly perturbed nonlinear ordinary differential equations. The case when the solution only has one boundary layer is examined. An efficie...

    Authors: Süleyman Cengizci, Mehmet Tarık Atay and Aytekin Eryılmaz

    Citation: SpringerPlus 2016 5:280

    Content type: Research

    Published on:

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