KHALED, Soumia2025-12-022025-12-022025-06-02http//localhost:8080/jspui/handle/123456789/13644• 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.enVolterra integro-differential equation ; Non standard equation ; Schauder fixed point theorem ; Numerical approximation ; Fibonacci Wavelet Collocation method.Thesis