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https://dspace.univ-ouargla.dz/jspui/handle/123456789/33299
Title: | Approximation of Fractional Boundary Value Problems using Modified Adomian decomposition method |
Authors: | Bensayah, Abdallah Tidir, Inas |
Keywords: | Fractional integro-differential equation initial boundary value problems Fractional calculus Caputo fractional derivative fixed point theorem modified Adomian decomposition metho integro-differentielle fractionnaire problemes de valeur limite initiale Calcul fractionnaire fractionnaire de Caputo theoreme du \ Joint fixe methode de decomposition adomienne modifiee |
Issue Date: | 2023 |
Publisher: | Université Kasdi-Merbah Ouargla |
Abstract: | In this mester thesis, we presented and analyzed the ADM method and it's modified MADM method, in order to obtain an approximation of the exact solution. We have found that this method gives an almost perfect approximation through the examples that we have provided in the last one.
Key words : Fractional integro-differential equation, initial boundary value problems, Fractional calculus, Caputo fractional derivative, fixed point theorem ,modified Adomian decomposition method Dans ce memoire, nous avons presente et analyse la methode ADM et sa methode MADM modifiee, afin d'obtenir une approximation de la solution exacte. Nous avons constate que cette methode donne une approximation presque parfaite a travers les exemples que nous avons fournis dans le dernier. |
Description: | Numerical modeling and analysis |
URI: | https://dspace.univ-ouargla.dz/jspui/handle/123456789/33299 |
Appears in Collections: | Département de Mathématiques - Master |
Files in This Item:
File | Description | Size | Format | |
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Tidir-Inas.pdf | 734,49 kB | Adobe PDF | View/Open |
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