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Differential Transform Method for Solving Linear System of First-Order Fuzzy Differential Equations

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International Conference on Oriental Thinking and Fuzzy Logic

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 443))

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Abstract

In this paper we study an approximate-analytical method for the linear systems of first-order fuzzy differential equations (FDEs) with fuzzy initial value conditions under Seikkala derivative. The differential transform method (DTM) is used for the approximate-analytical solution of this problem. This method is illustrated by numerical examples.

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Acknowledgments

This work was supported by a grant from the Ph.D. Programs Foundation of Ministry of Education of China (No. 20102121110002), the National Natural Science Foundations of China (Grants No. 61304173), Foundation of Liaoning Educational Committee (Grant No. 13-1069). The authors are most grateful to the referees for valuable suggestions and comments.

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Authors and Affiliations

  1. Department of Basic Teaching, Liaoning Technical University, Huludao, 125105, China

    Lei Wang & Na Li

Authors
  1. Lei Wang
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  2. Na Li
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Correspondence to Lei Wang .

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Editors and Affiliations

  1. Guangzhou Vocational Collg. Sci. & Tech., Guangzhou, China

    Bing-Yuan Cao

  2. West Texas A&M University, Canyon,TX,USA, Liaoning Technical University, Fuxin, China

    Pei-Zhuang Wang

  3. Foreign Affairs Office, National Defense University, Beijing, China

    Zeng-Liang Liu

  4. School of Math and Info. Science, Guangzhou University, Guangzhou, China

    Yu-Bin Zhong

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Wang, L., Li, N. (2016). Differential Transform Method for Solving Linear System of First-Order Fuzzy Differential Equations. In: Cao, BY., Wang, PZ., Liu, ZL., Zhong, YB. (eds) International Conference on Oriental Thinking and Fuzzy Logic. Advances in Intelligent Systems and Computing, vol 443. Springer, Cham. https://doi.org/10.1007/978-3-319-30874-6_23

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  • DOI: https://doi.org/10.1007/978-3-319-30874-6_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30873-9

  • Online ISBN: 978-3-319-30874-6

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