Solving fuzzy fractional differential equations using Zadeh's extension principle

ScientificWorldJournal. 2013 Sep 4;2013:454969. doi: 10.1155/2013/454969. eCollection 2013.

Abstract

We study a fuzzy fractional differential equation (FFDE) and present its solution using Zadeh's extension principle. The proposed study extends the case of fuzzy differential equations of integer order. We also propose a numerical method to approximate the solution of FFDEs. To solve nonlinear problems, the proposed numerical method is then incorporated into an unconstrained optimisation technique. Several numerical examples are provided.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Algorithms
  • Fuzzy Logic
  • Models, Theoretical*