Solving fuzzy differential equations by using Picard method

نویسندگان
Behzadi, S. S. ID 1
Allahviranloo, T. ID 2

1 Department of Mathematics, Islamic Azad University, Qazvin Branch Qazvin Iran

2 Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran Iran

doi
10.22111/ijfs.2016.2430
چکیده

In this paper,  The Picard method is proposed to solve the system of first-order fuzzy  differential equations  $(FDEs)$ with fuzzy initial conditions under generalized $H$-differentiability. Theexistence and uniqueness of the solution and convergence of theproposed method are proved in details. Finally, the method is illustrated by solving some examples.

کلیدواژه‌ها
First order fuzzy differential equations, Fuzzy number, Fuzzy-valued function, $h$-difference, Generalized differentiability, Picard method