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Title: | On the Existence of Solution for some Differential Equations of Fractional order with Nonlocal Conditions and Infinite Delay |
Authors: | Baghaffar, Mordia |
Keywords: | (Fractional derivative ; impulsive; Caputo fractional derivative ;existence ;state-dependent delay;fixed -point .) (D´eriv´e fractionnaire; impulsif; D´eriv´e fractionnaire de Caputo; existence; retard d´ependant de l’´etat; point fixe.) |
Issue Date: | 2019 |
Publisher: | جامعة غرداية |
Abstract: | In this work ,we study the existence of mild solution of some differential equation of fractional order with nonlocal condition and an infinite delay involving a Lipschitz condition on term Ik .We shall rely on a fixed point theorem for the sum of completly continuous and contraction operators due to Burton and Krik. ...Dans ce travail, nous ´etudions l’existence d’une solution faible d’une ´equation diff´erentielle d’ordre fractionnaire avec conditions non locales et un retard infini impliquant une condition de Lipschitz sur le terme Ik. Nous nous appuierons sur un th´eor`eme de points fixes en tout que la somme de deux op´erateurs l’un une contraction l’auter completement continu du `a Burton et Krik |
URI: | https://dspace.univ-ghardaia.edu.dz/xmlui/handle/123456789/634 |
Appears in Collections: | Mémoires de Master |
Files in This Item:
File | Description | Size | Format | |
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BAGHAFFAR MORDIA.pdf | 751.69 kB | Adobe PDF | View/Open |
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