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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
  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
  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
  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
  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

    Authors: Zead Mustafa, Mohammed M. M. Jaradat, Arslan Hojat Ansari, Branislav Z. Popović and Husein M. Jaradat
    Citation: SpringerPlus 2016 5:802
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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