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Browsing by Author "KHALED, Soumia"

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    Analytical and Numerical Analysis of A Generalized Non Standard Volterra Integro-Differential Equations
    (University of Echahid Cheikh Larbi Tébessi -Tébessa, 2025-06-02) KHALED, Soumia
    • Fredholm and Volterra integral equations hold a significant position in mathe- matics due to their wide-ranging applications across various scientific fields. • In this thesis, we focus on a specific form of the non linear, non standard, integro-differential Volterra equation. • Using Schauder fixed point theorem, we establish the existence and unique- ness for the solution of this integro-differential Volterra equation under well-defined conditions. • We then apply the Fibonacci Wavelet Collocation method to obtain an approximate solution to this integro-differential equation, followed by illustrative examples demonstrating the obtained results.