On the fuzzy solutions of time-fractional problems

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.

Keywords:

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