M. Ghaffari - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
T. Allahviranloo - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
S. Abbasbandy - Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran
M. Azhini - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

The main purpose of this paper is to obtain an analytical solution for the time-fractional fuzzy equation. To do this, the time-fractional equation is  transformed into an algebraic equation using the fuzzy Laplace and Fourier transforms. The fractional derivatives are described in the Caputo gH-differentiability. In addition, to demonstrate the efficiency of the method some various examples are solved.

Fuzzy time-fractional differential equations, fuzzy Laplace transform, fuzzy fourier transform, Caputo gH-differentiability