On the fuzzy solutions of time-fractional problems

نویسندگان
Allahviranloo, T. ID 1
Abbasbandy, S. ID 2
Azhini, M. ID 3
Ghaffari, M. ID 4

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

2 Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran

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

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

doi
10.22111/ijfs.2021.6081
چکیده

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.

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