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The Generalized Solution for Initial Problems of Fuzzy Discontinuous Differential Equations

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 211))

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Abstract

In this paper, we generalized the existence theorems of Caratheodory solution for initial problems of fuzzy discontinuous differential equation by the definition of the \(\omega -ACG^{*}\) for a fuzzy-number-valued function and the nonabsolute fuzzy integral and its controlled convergence theorem.

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Acknowledgments

Thanks to the support by National Natural Science Foundation of China (No.11161041 and No.71061013) and 2012 Scientific Research Fund for State Ethnic Affairs Commission of China; Fundamental Research Fund for the Central Universities (No. zyz2012081, No. 31920130009 and No. 31920130010).

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou , 730030, China

    Ya-bin Shao & Huan-huan Zhang

  2. College of Mathematics and Information Science, Northwest Normal University, Lanzhou , 730070, China

    Zeng-tai Gong

Authors
  1. Ya-bin Shao
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  2. Huan-huan Zhang
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  3. Zeng-tai Gong
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Corresponding author

Correspondence to Ya-bin Shao .

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Editors and Affiliations

  1. School of Mathematics and Information Science, Guangzhou University Higher Education Mega Center, Guangzhou, People's Republic of China

    Bing-Yuan Cao

  2. Department of Mathematics and Computer Sciences, Mazandaran University, Babolsar, Iran

    Hadi Nasseri

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Shao, Yb., Zhang, Hh., Gong, Zt. (2014). The Generalized Solution for Initial Problems of Fuzzy Discontinuous Differential Equations. In: Cao, BY., Nasseri, H. (eds) Fuzzy Information & Engineering and Operations Research & Management. Advances in Intelligent Systems and Computing, vol 211. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38667-1_23

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  • DOI: https://doi.org/10.1007/978-3-642-38667-1_23

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38666-4

  • Online ISBN: 978-3-642-38667-1

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