J4 ›› 2012, Vol. 47 ›› Issue (7): 81-84.

• Articles • Previous Articles     Next Articles

Linear formed fractional fuzzy differential equations

WANG Lei1,2, GUO Si-zong2   

  1. 1. Department of Basic Teaching, Liaoning Technical University, Huludao  125105, Liaoning, China;
     2. College of Science, Liaoning Technical University, Fuxin 123000, Liaoning, China
  • Received:2011-10-18 Online:2012-07-20 Published:2012-09-01

Abstract:

According to the fuzzy structured element method, the Riemann-Liouville derivative of fuzzyvalued function is defined, and the fractional fuzzy differential equations is studied which is linear formed by symmetrical fuzzy structured element. The existence of a solution is given and the solution is obtained by Mittag—Leffler function. Finally, an illustrative example is provided.

Key words: fuzzy differential equations; fuzzy structured element method; fuzzy Riemann-Liouville derivative; Mittag—Leffler function

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