Pure and Applied Mathematics Journal

Volume 4, Issue 5, October 2015

  • Existence of Time Periodic Solutions of New Classes of Nonlinear Problems

    Luisa Toscano, Speranza Toscano

    Issue: Volume 4, Issue 5, October 2015
    Pages: 189-215
    Received: 30 July 2015
    Accepted: 17 August 2015
    Published: 26 August 2015
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    Abstract: We study the existence of one or more weak periodic solutions of nonlinear evolution PDEs in a cylinder of RN+1 with conditions on lateral surface by using the results connected to a general evolution variational equation depending on a parameter.
  • The Simulation of a Queueing System Consist of Two Parallel Heterogeneous Channels with no Waiting Line

    Vedat Sağlam, Murat Sağır, Erdinç Yücesoy, Müjgan Zobu

    Issue: Volume 4, Issue 5, October 2015
    Pages: 216-218
    Received: 17 August 2015
    Accepted: 27 August 2015
    Published: 8 September 2015
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    Abstract: A queueing system with two parallel heterogenous channels without waiting is considered. In this queueing system customer arrivals are Poisson distributed with λ rate. Each customer has exponentially distributed service time with μ_k (k=1,2) parameter at k-th channel. When a customer arrives this system if both the service channels are available, ... Show More
  • Solving Fourth Order Parabolic PDE with Variable Coefficients Using Aboodh Transform Homotopy Perturbation Method

    Khalid Suliman Aboodh

    Issue: Volume 4, Issue 5, October 2015
    Pages: 219-224
    Received: 8 June 2015
    Accepted: 15 June 2015
    Published: 8 September 2015
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    Abstract: Here, a new method called Aboodh transform homotopy perturbation method (ATHPM) is used to solve one dimensional fourth order parabolic linear partial differential equations with variable coefficients. The proposed method is a combination of the new integral transform “Aboodh transform” and the homotopy perturbation method. Some cases of one dimens... Show More
  • Fuzzy Derivations BCC-Ideals on BCC-Algebras

    Samy M. Mostafa, Mostafa A. Hassan

    Issue: Volume 4, Issue 5, October 2015
    Pages: 225-232
    Received: 27 August 2015
    Accepted: 9 September 2015
    Published: 18 September 2015
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    Abstract: In the theory of rings, the properties of derivations are important. In [15], Jun and Xin applied the notion of derivations in ring and near-ring theory to BCI-algebras, and they also introduced a new concept called a regular derivation in BCI-algebras. They investigated some properties of its .In this manuscript, the concept of fuzzy left (right) ... Show More