TRANSPORT EQUATION WITH FUZZY DATA

Authors

  • Alireza Khastan Department of Mathematics, Institute for Advanced Studies in Basic Sciences, Zanjan 45137-66731, Iran
  • Robab Alikhani Department of Mathematics, University of Tabriz, Tabriz, Iran
Abstract:

In this paper, we use the generalized differentiability concept tostudy the fuzzy transport equation. We consider transport equationin the homogeneous and non-homogeneous cases with fuzzy initialcondition. We also present the solution when speed parameter is a fuzzynumber. Our method is based on the construction of the solutionsby employing Zadeh's extension principle.

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Journal title

volume 15  issue 7

pages  67- 78

publication date 2018-10-29

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