In this paper, an abstract multi-term time-fractional differential system is considered and the existence, uniqueness and exact controllability results are investigated. In this theory, we use the notion of bounded integral contractor introduced by Altman to come up with a new set of sufficient conditions for the exact controllability by constructing a sequencing technique. Moreover, in this technique, we are not required to define induced inverse operator and Lipschitz continuity of nonlinear functions. Finally, an application is given to illustrate the obtained results.

中文翻译：

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时序技术的时分分数阶微分系统的精确可控性

本文考虑了一个抽象的多时间分数阶微分系统，并研究了其存在性，唯一性和精确的可控制性结果。在此理论中，我们通过构造定序技术，使用奥特曼（Altman）引入的有界积分承包商的概念，为精确控制性提出了一组新的充分条件。此外，在这种技术中，我们不需要定义非线性函数的诱导逆算子和Lipschitz连续性。最后，给出了一个应用程序来说明获得的结果。