Pure and Applied Mathematics Journal

Volume 11, Issue 4, August 2022

  • Proof of the Beal, Catalan and Fermat’s Last Theorem Based on Arithmetic Progression

    Mohammad Amin Sharifi

    Issue: Volume 11, Issue 4, August 2022
    Pages: 51-69
    Received: 25 June 2022
    Accepted: 18 July 2022
    Published: 26 July 2022
    DOI: 10.11648/j.pamj.20221104.12
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    Abstract: The Beal’s Conjecture, Catalan’s Theorem and Fermat’s Last Theorem are cases within the number theory’s field, so the Beal’s Conjecture states that: AX+BY=CZ where A, B, C are positive integers and X, Y and Z are all positive integers greater 2, then A, B and C have a common prime factor and Catalan’s Theorem express that Yp=Xq+1 when X, Y, q, p ar... Show More
  • The Analytical Solution of Some Partial Differential Equations by the SBA Method

    Yanick Alain Servais Wellot

    Issue: Volume 11, Issue 4, August 2022
    Pages: 70-77
    Received: 19 September 2022
    Accepted: 4 October 2022
    Published: 17 October 2022
    DOI: 10.11648/j.pamj.20221104.13
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    Abstract: Many phenomena in nature, especially in the current context of climate change, are modeled by nonlinear partial differential equations. Numerical methods exist to solve these equations numerically. But, the search for exact solutions, when they exist, is always necessary, in order to better explain the modeled phenomenon. The interest of the search... Show More