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Solving Differential Equations with Z-Numbers by Utilizing Fuzzy Sumudu Transform

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Intelligent Systems and Applications (IntelliSys 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 869))

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Abstract

The uncertain nonlinear systems can be displayed in the form of fuzzy differential equations (FDEs). The solutions of FDEs can be utilized in analyzing various issues related to engineering. Because of the difficulties in obtaining the solutions related to these equations, in this paper, a novel method based on fuzzy Sumudu transform (FST) is suggested. Here, the uncertainties are in the sense of Z-numbers. Important theorems are laid down to illustrate the properties of FST. The theoretical analysis and simulation results show that this new technique is effective to estimate the solutions of FDEs.

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Author information

Authors and Affiliations

  1. Centre for Artificial Intelligence Research (CAIR), University of Agder, Grimstad, Norway

    Raheleh Jafari

  2. Departamento de Control Automático, CINVESTAV-IPN (National Polytechnic Institute), Mexico City, Mexico

    Sina Razvarz

  3. School of Computing, University of Portsmouth, Buckingham Building, Portsmouth, PO1 3HE, UK

    Alexander Gegov

Authors
  1. Raheleh Jafari
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  2. Sina Razvarz
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  3. Alexander Gegov
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Corresponding author

Correspondence to Raheleh Jafari .

Editor information

Editors and Affiliations

  1. Faculty of Science and Engineering, Saga University, Saga, Japan

    Kohei Arai

  2. The Science and Information (SAI) Organization, Bradford, UK

    Supriya Kapoor

  3. The Science and Information (SAI) Organization, Bradford, UK

    Rahul Bhatia

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Jafari, R., Razvarz, S., Gegov, A. (2019). Solving Differential Equations with Z-Numbers by Utilizing Fuzzy Sumudu Transform. In: Arai, K., Kapoor, S., Bhatia, R. (eds) Intelligent Systems and Applications. IntelliSys 2018. Advances in Intelligent Systems and Computing, vol 869. Springer, Cham. https://doi.org/10.1007/978-3-030-01057-7_82

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