TRANSPORT EQUATION WITH FUZZY DATA

نویسندگان
Alikhani, Robab ID 1
Bahrami, Fariba ID 2
Khastan, Alireza ID 3

1 Department of Mathematics, University of Tabriz, Tabriz, Iran.

2 Department of Mathematics, University of Tabriz, Tabriz, Iran

3 Department of Mathematics, Institute for Advanced Studies in Basic Sciences, Zanjan 45137-66731, Iran

doi
10.22111/ijfs.2018.4282
چکیده

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.

کلیدواژه‌ها
Fuzzy partial differential equation, Transport equation, Generalized differentiability