Linear fractional fuzzy differential equations with Caputo derivative

Author(s):

Rahman Abdollahi , MohammadBagher Farshbaf Moghimi * , Alireza Khastan , MohammadReza Hooshmandasl

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we study linear fractional fuzzy differential equations involving the Caputo generalized Hukuhara derivative. Using the fuzzy Laplace transform, we present the general form of solutions in terms of Mittag-Leffler functions. Finally, some examples are provided to illustrate our results.

Keywords:

Caputo fractional derivative , Fuzzy fractional differential equation , Fuzzy initial value problem , Fuzzy Laplace transform , Generalized Hukuhara differentiability

Language:
English
Published:
Computational Methods for Differential Equations, Volume:7 Issue: 2, Spring 2019
Pages:
252 to 265
https://www.magiran.com/p2103243