Approximate Controllability of Fractional Order Retarded Semilinear Control Systems

• 作者: Nagarajan Sukavanam Simegne Tafesse
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: APPROXIMATE CONTROLLABILITY Fractional Order EXISTENCE and UNIQUENESS Retarded SEMILINEAR System Integral CONTRACTOR
• 年，卷（期）: 2013,（3）
• 页码范围: 153-160
• 页数: 8页
• 分类号: O1

摘要

In this paper, approximate controllability of fractional order retarded semilinear systems is studied when the nonlinear term satisfies the newly formulated bounded integral contractor-type conditions. We have shown the existence and uniqueness of the mild solution for the fractional order retarded semilinear systems using an iterative procedure approach. Finally, we obtain the approximate controllability results of the system under simple condition.