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Mild Solutions of Fractional Semilinear Integro-Differential Equations on an Unbounded Interval

Mild Solutions of Fractional Semilinear Integro-Differential Equations on an Unbounded Interval

作     者:Adel Jawahdou 

作者机构:Department of Mathematics University of Carthage Bizerte Preparatory Engineering Institute Jarzouna Tunisia 

出 版 物:《Applied Mathematics》 (应用数学(英文))

年 卷 期:2013年第4卷第7期

页      面:34-39页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:Semilinear Integrodifferential Equations Mild Solutions Schauder Fixed Point Theorem 

摘      要:In this paper, we study the existence of mild solutions for fractional semilinear integro-differential equations in an arbitrary Banach space associated with operators generating compact semigroup on the Banach space. The arguments are based on the Schauder fixed point theorem.

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