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Solutions of linear uncertain fractional-order delay differential equations

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Abstract

Uncertain fractional-order delay differential equation is a class of fractional-order functional differential equations driven by Liu process. This paper devotes to studying linear uncertain fractional-order delay differential equation. The explicit representation and iterative formula of the solution to linear uncertain fractional-order delay differential equations are obtained. Meanwhile, the inverse uncertainty distribution of the solution to linear uncertain fractional-order delay differential equation by the \(\alpha \)-path is presented.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 61673011).

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Authors and Affiliations

  1. School of Science, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, China

    Jian Wang & Yuanguo Zhu

  2. School of Network Engineering, ZhouKou Normal University, ZhouKou, 466001, Henan, China

    Jian Wang

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  1. Jian Wang
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  2. Yuanguo Zhu
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Correspondence to Yuanguo Zhu.

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Wang, J., Zhu, Y. Solutions of linear uncertain fractional-order delay differential equations. Soft Comput 24, 17875–17885 (2020). https://doi.org/10.1007/s00500-020-05037-w

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