American Journal of Applied Mathematics

Archive

Volume 7, Issue 6, December 2019

  • Applications of the Moore-Penrose Generalized Inverse to Linear Systems of Algebraic Equations

    Asmaa Mohammed Kanan, Asma Ali Elbeleze, Afaf Abubaker

    Issue: Volume 7, Issue 6, December 2019
    Pages: 152-156
    Received: 4 October 2019
    Accepted: 30 October 2019
    Published: 18 November 2019
    DOI: 10.11648/j.ajam.20190706.11
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    Abstract: In this work, we consider linear systems of algebraic equations. These systems are studied utilizing the theory of the Moore-Penrose generalized inverse or shortly (MPGI) of matrices. Some important algorithms and theorems for computation the MPGI of matrices are given. The singular value decomposition (SVD) of a matrix has a very important role in... Show More
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  • Boundary Value Problems of Nonlinear Variable Coefficient Fractional Differential Equations

    Badawi Hamza Elbadawi Ibrahim, Qixiang Dong, Zhengdi Zhang

    Issue: Volume 7, Issue 6, December 2019
    Pages: 157-163
    Received: 24 October 2019
    Accepted: 19 November 2019
    Published: 30 December 2019
    DOI: 10.11648/j.ajam.20190706.13
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    Abstract: It is recognized that the theory of boundary value problems for fractional order-differential equations is one of the rapidly developing branches of the general theory of differential equations. As far as we know, most of the papers studied the fractional Riemann-Liouville derivative with respect to boundary values that are zero. However, for the p... Show More
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  • Stability and Hopf Bifurcation Analysis of Delayed Rosenzweig-MacArthur Model with Prey Immigration

    Gang Zhu, Chunyan He

    Issue: Volume 7, Issue 6, December 2019
    Pages: 164-176
    Received: 25 October 2019
    Accepted: 18 November 2019
    Published: 30 December 2019
    DOI: 10.11648/j.ajam.20190706.14
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    Abstract: A delayed reaction Cdiffusion Rosenzweig-MacArthur model with a constant rate of prey immigration is considered. We derive the characteristic equation through partial differential equation theory, and by analyzing the distribution of the roots of the characteristic equation, the local stability of the positive equilibria is studied, and we get the ... Show More
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  • On Transmuted Type II Generalized Logistic Distribution with Application

    Femi Samuel Adeyinka

    Issue: Volume 7, Issue 6, December 2019
    Pages: 177-182
    Received: 13 November 2019
    Accepted: 17 December 2019
    Published: 31 December 2019
    DOI: 10.11648/j.ajam.20190706.15
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    Abstract: Introducing extra parameters into the baseline distribution has been a huge breakthrough in research as this enhances more flexibility of the existing models. One of the recent methods is the use of transmutation map which has attracted the interest of many researchers in the last decade. This article investigates the flexibility of transmuted type... Show More
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