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Approximate Controllability for Mixed Type Non-autonomous Fractional Differential Equations

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Abstract

In this paper, we discuss the approximate controllability for mixed type non-autonomous fractional differential equations. By using the Schauder fixed point theorem and two parameters \(\beta -\)resolvent family, we prove the approximate controllability of the control system. Last of all, the application of our main results is given.

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Acknowledgements

The paper was supported by National Natural Science Foundation of China (No.62073190, 11871302).

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Authors and Affiliations

  1. School of Statistics and Mathematics, Shandong University of Finance and Economics, Jinan, 250014, Shandong, China

    Bo Zhu

  2. Common Course Teaching Department, Shandong University of Art and Design, Jinan, 250014, Shandong, China

    Baoyan Han

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  1. Bo Zhu
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Correspondence to Bo Zhu.

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Zhu, B., Han, B. Approximate Controllability for Mixed Type Non-autonomous Fractional Differential Equations. Qual. Theory Dyn. Syst. 21, 111 (2022). https://doi.org/10.1007/s12346-022-00641-7

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