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Fuzzy Derivatives and Fuzzy Cauchy Problems Using LP Metric

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Fuzzy Logic Foundations and Industrial Applications

Part of the book series: International Series in Intelligent Technologies ((ISIT,volume 8))

Abstract

A new approach for defining a fuzzy derivative is introduced and a comparison with a previous approach illustrates the advantages of the new method. A first order fuzzy differential equation and a fuzzy Cauchy problem are defined and sufficient conditions for existence and uniqueness of solutions to fuzzy initial value problems are given. Solutions are calculated for simple examples.

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Author information

Authors and Affiliations

  1. Computer Science and Engineering Dept, University of South Florida, 33620-5350, Tampa, FL, USA

    Menahem Friedman, Ming Ma & Abraham Kandel

  2. Physics Dept, NRCN, P.O. Box 9001, Beer-Sheva, Israel

    Menahem Friedman

  3. Harbin Institute of Technology, 150001, Harbin, P.R. China

    Ming Ma

Authors
  1. Menahem Friedman
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  2. Ming Ma
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  3. Abraham Kandel
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Editor information

Editors and Affiliations

  1. Belgian Nuclear Research Centre (SCK · CEN), Mol, Belgium

    Da Ruan

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© 1996 Kluwer Academic Publishers

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Friedman, M., Ma, M., Kandel, A. (1996). Fuzzy Derivatives and Fuzzy Cauchy Problems Using LP Metric. In: Ruan, D. (eds) Fuzzy Logic Foundations and Industrial Applications. International Series in Intelligent Technologies, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1441-7_3

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  • DOI: https://doi.org/10.1007/978-1-4613-1441-7_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8627-1

  • Online ISBN: 978-1-4613-1441-7

  • eBook Packages: Springer Book Archive

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