EXISTENCE AND UNIQUENESS THEOREM FOR A SOLUTION OF FUZZY IMPULSIVE DIFFERENTIAL EQUATIONS

Authors

  • R. Ramesh K.S. Rangasamy College of Technology - Department of Mathematics
  • S. Vengataasalam Kongu Engineering College - Department of Mathematics

Keywords:

Fuzzy differential equation, Levelwise continuous, Fuzzy impulsive equation, Fuzzy integral, Fuzzy ϵ-approximate solution

Abstract

In this paper, we prove the existence and uniqueness of a solution of the fuzzy impulsive differential equation x′(t) = f(t,x(t)), x(t0) = x0, ∆x(tk) = Ik(x(tk)) by using the method of successive approximation.  We also consider the ϵ-approximate solution for the above fuzzy impulsive differential equation.

Cover of n°33 Italian Journal of Pure and Applied Mathematics

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Published

2014-12-29

How to Cite

Ramesh, R., & Vengataasalam, S. (2014). EXISTENCE AND UNIQUENESS THEOREM FOR A SOLUTION OF FUZZY IMPULSIVE DIFFERENTIAL EQUATIONS. Italian Journal of Pure and Applied Mathematics, 33, 345–358. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6254

Issue

N°33 - December 2014

Section

Articoli - Forum Editrice

License

Copyright (c) 2014 R. Ramesh, S. Vengataasalam

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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