Archive:: American Journal of Applied Mathematics:: Science Publishing Group

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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