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Approximate Solution of Intuitionistic Fuzzy Differential Equations by Using Picard’s Method

  • R. Ettoussi
  • Said MellianiEmail author
  • L. S. Chadli
Chapter
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 372)

Abstract

Our main result in this paper is to find the power series solution of an intuitionistic fuzzy differential equation \(x'(t)=f(t,x(t))\), \(x(t_0)=x_0\) by using successive approximation method and we prove that the approximate solution converge uniformly in t to the exact solution. Finally, we illustrate this result with a numerical example.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Sultan Moulay Slimane UniversityBeni MellalMorocco

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