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.