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