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Analytical and Numerical Analysis of A Generalized Non Standard Volterra Integro-Differential Equations
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| dc.contributor.author | KHALED, Soumia | |
| dc.date.accessioned | 2025-12-02T08:54:50Z | |
| dc.date.available | 2025-12-02T08:54:50Z | |
| dc.date.issued | 2025-06-02 | |
| dc.identifier.uri | http//localhost:8080/jspui/handle/123456789/13644 | |
| dc.description.abstract | • 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. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | University of Echahid Cheikh Larbi Tébessi -Tébessa | en_US |
| dc.subject | Volterra integro-differential equation ; Non standard equation ; Schauder fixed point theorem ; Numerical approximation ; Fibonacci Wavelet Collocation method. | en_US |
| dc.title | Analytical and Numerical Analysis of A Generalized Non Standard Volterra Integro-Differential Equations | en_US |
| dc.type | Thesis | en_US |
