On the Existence and Uniqueness of Fuzzy Differential Equations with Monotone Condition

Authors

  • Samira Siah Mansori
  • Morteza Gachpazan
  • Nazanin Ahmady Islamic Azad university
  • Elham Ahmady

Keywords:

Fuzzy number, Fuzzy differential equation, Liu's process, Credibility space

Abstract

This paper seeks to investigate the existence and uniqueness of solutions to fuzzy differential equations driven by Liu's process. To this end, we provide andprove a novel existence and uniqueness theorem for fuzzy differential equations under Local Lipschitz and monotone conditions. This result allows us to consider and analyze solutions to a wide range of nonlinear fuzzy differential equations driven by Liu's process. To illustrate the main advantage of the approach some examples are finally given.

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Published

2021-07-05

Issue

Vol. 16

Section

Vol. 16, No. 5, (2022)

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