American Journal of Applied Mathematics

Volume 8, Issue 6, December 2020

  • Reliability Systems and Optimal Control – Goal Realization Probability

    Aleksandra Rajcevic

    Issue: Volume 8, Issue 6, December 2020
    Pages: 293-299
    Received: 14 October 2020
    Accepted: 29 October 2020
    Published: 11 November 2020
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    Abstract: In this theoretical article is considered reliability cybernetics systems with probability theory. Optimal control and managing assigned goals of system are considered after control actions were assigned with a determined probability of realization. Real system is set of elements functionally connected in one whole for achieving determined goal usi... Show More
  • A Family of Global Attractors for the Higher-order Kirchhoff-type Equations and Its Dimension Estimation

    Guoguang Lin, Yuhang Chen

    Issue: Volume 8, Issue 6, December 2020
    Pages: 300-310
    Received: 4 November 2020
    Accepted: 16 November 2020
    Published: 24 November 2020
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    Abstract: In this paper, we study the long-time behavior of solutions for a class of initial boundary value problems of higher order Kirchhoff –type equations, and make appropriate assumptions about the Kirchhoff stress term. We use the uniform prior estimation and Galerkin method to prove the existence and uniqueness of the solution of the equation, when th... Show More
  • Continued Fraction Expansion of the Heinz Operator Mean

    Kacem Belhroukia, Salah Salhi, Ali Kacha

    Issue: Volume 8, Issue 6, December 2020
    Pages: 311-318
    Received: 17 July 2020
    Accepted: 9 September 2020
    Published: 6 December 2020
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    Abstract: We recall that means arise in various contexts and contribute to solving many scientific problems. The aim of the present paper is to give a continued fraction expansion of the Heinz operator mean for two positive definite matrices. We note that the direct calculation of the Heinz operator mean proves difficult by the appearance of rational exponen... Show More
  • General Solutions of Some Complex Third-order Differential Equations

    Rong Liao, Zhibo Huang

    Issue: Volume 8, Issue 6, December 2020
    Pages: 319-326
    Received: 10 November 2020
    Accepted: 26 November 2020
    Published: 8 December 2020
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    Abstract: According to the Nevanlinna theory, many researches have undertaken the behaviors of meromorphic solutions of complex ordinary differential equations (ODEs). Most of these researches have concentrated on the value distribution and growth of meromorphic solutions of ODEs. However, the existence of a meromorphic general solution is often used as a wa... Show More
  • The Impulsive Motion of Flat Plate in Generalized Second Grade Fluid with Anomalous Diffusion

    Mohammad Tanzil Hasan, Md. Shafiqul Islam, Mir Shariful Islam

    Issue: Volume 8, Issue 6, December 2020
    Pages: 327-333
    Received: 26 September 2020
    Accepted: 3 November 2020
    Published: 11 December 2020
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    Abstract: The flow adjacent to a wall rapidly set in motion for a generalized second-grade fluid with anomalous diffusion is examined. For the elucidation of such a fluid, the fractional-order derivative approach in the constitutive relationship model is presented because models based on ordinary differential equations have a relatively limited class of solu... Show More
  • Solving Highly Nonlinear Partial Differential Equations Using Homotopy Perturbation Method

    Amanat Ali Khan, Musammet Tahmina Akter

    Issue: Volume 8, Issue 6, December 2020
    Pages: 334-343
    Received: 12 November 2020
    Accepted: 26 November 2020
    Published: 11 December 2020
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    Abstract: An elegant and powerful technique is Homotopy Perturbation Method (HPM) to solve linear and nonlinear ordinary and partial differential equations. The method, which is a coupling of the traditional perturbation method and homotopy in topology, deforms continuously to a simple problem which can be solved easily. The method does not depend upon a sma... Show More
  • Modelling Covid-19 Deaths in Ghana as a Discrete State Process in Continuous Time

    Osei Antwi, Abdul Martinu Issah

    Issue: Volume 8, Issue 6, December 2020
    Pages: 344-355
    Received: 30 November 2020
    Accepted: 18 December 2020
    Published: 31 December 2020
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    Abstract: We propose a stochastic process modelling of covid-19 deaths in Ghana. The objective is to accurately capture the death processes resulting from the pandemic and to predict future deaths resulting from Covid-19 infections in Ghana. The mathematical derivation is based strictly on the compound Poisson process, a class of a Levy process. The model is... Show More