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Fuzzy Differential Equations in Various Approaches pp 69–113Cite as

Fuzzy Differential Equations

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Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

Abstract

The following approaches of fuzzy differential equations are depicted in this chapter: via Hukuhara and strongly generalized derivatives, Zadeh’s extension of the classical (or crisp) solution, fuzzy differential inclusions and extension of the derivative operator. Theorems assuring existence of solutions to fuzzy initial value problems are provided to all theories. Comparisons are carried out and conditions assure equivalence of results under different approaches.

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Authors and Affiliations

  1. Department of Chemistry, Physics and Mathematics, Federal University of São Carlos - Campus Sorocaba, Sorocaba, São Paulo, Brazil

    Luciana Takata Gomes

  2. Institute of Mathematics, Statistics and Scientific Computation Department of Applied Mathematics, University of Campinas, Campinas, São Paulo, Brazil

    Laécio Carvalho de Barros

  3. Department of Mathematics, DigiPen Institute of Technology, Redmond Washington, USA

    Barnabas Bede

Authors
  1. Luciana Takata Gomes
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  2. Laécio Carvalho de Barros
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  3. Barnabas Bede
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Gomes, L.T., de Barros, L.C., Bede, B. (2015). Fuzzy Differential Equations. In: Fuzzy Differential Equations in Various Approaches. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-22575-3_4

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