American Journal of Applied Mathematics

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Volume 6, Issue 4, August 2018

  • Formulation of Impulsive Differential Equations with Time-Dependent Continuous Delay

    Ita Micah Esuabana, Ubon Akpan Abasiekwere

    Issue: Volume 6, Issue 4, August 2018
    Pages: 135-141
    Received: 10 September 2018
    Accepted: 9 October 2018
    Published: 31 October 2018
    DOI: 10.11648/j.ajam.20180604.11
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    Abstract: Research in impulsive delay differential equations has been undergoing some exciting growth in recent times. This to a large extent can be attributed to the quest by mathematicians in particular and the science community as a whole to unveil nature the way it truly is. The realization that differential equations, in general, and indeed impulsive de... Show More
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  • The Adomian Decomposition Method of Volterra Integral Equation of Second Kind

    Ali Elhrary Abaoub, Abejela Salem Shkheam, Suad Mawloud Zali

    Issue: Volume 6, Issue 4, August 2018
    Pages: 142-148
    Received: 23 August 2018
    Accepted: 20 September 2018
    Published: 1 November 2018
    DOI: 10.11648/j.ajam.20180604.12
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    Abstract: In this work, we consider linear and nonlinear Volterra integral equations of the second kind. Here, by converting integral equation of the first kind to a linear equation of the second kind and the ordinary differential equation to integral equation we are going to solve the equation easily. The Adomian decomposition method or shortly (ADM) is use... Show More
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