American Journal of Applied Mathematics

Archive

Volume 12, Issue 1, February 2024

  • Research Article

    Boundary Value Problem of Nonlinear Fractional Differential Equations of Mixed Volterra-Fredohlm Integral Equations in Banach Space

    Ala Eddine Taier*, Ranchao Wu, Naveed Iqbal

    Issue: Volume 12, Issue 1, February 2024
    Pages: 1-8
    Received: 6 January 2024
    Accepted: 29 January 2024
    Published: 28 February 2024
    DOI: 10.11648/j.ajam.20241201.11
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    Abstract: This paper is dedicated to study the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional differential equations of mixed Volterra-Fredohlm integral equations in Banach space, the recent researches considered the study of differential equations of mixed Volterra-Fredholm integral equations with classical order ... Show More
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  • Research Article

    New Theorems Solving Fifth Degree Polynomial Equation in Complete Forms by Proposing New Five Roots Composed of Radical Expressions

    Yassine Larbaoui

    Issue: Volume 12, Issue 1, February 2024
    Pages: 9-23
    Received: 20 February 2024
    Accepted: 6 March 2024
    Published: 2 April 2024
    DOI: 10.11648/j.ajam.20241201.12
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    Abstract: This paper is presenting new theorems and formulas to solve fifth degree polynomial equation in general forms by proposing five formulary solutions that we can calculate nearly simultaneously. The proposed roots for fifth degree polynomial in this paper are composed of radical expressions distributed in a specific architecture that allows them to n... Show More
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