International Journal of Nonlinear Analysis and Applications

Fuzzy partial differential equations

Document Type : Research Paper

Author

Department Basic Science, Applied Science Private University, Amman, Jordan

Abstract

We will consider a type of elementary fuzzy partial differential equation that we wish to solve. The classical solution and the extension solution are discussed. 

Keywords

[1] M. Abualhomos, Numerical ways for solving fuzzy differential equations, Int. J. Appl. Engin. Res. 13 (2018), no. 6, 4610–4613.
[2] J. Buckley and T. Feuring, Introduction to fuzzy partial differential equations, Fuzzy Sets Syst. 105 (1999), no. 2, 241–248.
[3] J. Buckley and T. Feuring, Fuzzy differential equations, Fuzzy Sets Syst. 110 (2000), no. 1, 43–54.
[4] D. Dubios and H. Prade, Towards fuzzy differential calculus, Part 3: Differentiation, Fuzzy Sets Syst. 8 (1982), 225–233.
[5] D. Dubios and H. Prade, On several definitions of the differential of a fuzzy mapping, Fuzzy Sets Syst. 24 (1987), 117–120.
[6] D. Dubios and H. Prade, Fundamental Of Fuzzy Sets, (1sted) Dordrecht, Kluwer Academic Publishers, 2000.
[7] Z. Gonge, Wu. Cngxin and B. Li, On the problem of characterizing derivatives for the fuzzy-valued functions, Fuzzy Sets Syst. 127 (2002), 315–322.
[8] J. Park and H. Han, Fuzzy differential equations, Fuzzy Sets Syst. 110 (2000), no. 1, 69–77.
[9] D. Vorobiev and S. Seikakala, Towards the theory of fuzzy differential, Fuzzy Sets Syst. 125 (2002), no. 2, 231–237.
International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 301-306
  • Receive Date: 04 January 2022
  • Revise Date: 29 January 2022
  • Accept Date: 11 February 2022