Solutions of Fuzzy Time Fractional Heat Equation

Abstract

Fuzzy fractional heat equations (FFHEs) are utilized to analyse the behaviour of the certain phenomena in various mathematical and scientific models. The main goal of this paper is to construct the solution of fuzzy fractional heat equations by taking a reliable recipe of Sumudu transformation method and homotopy analysis method into account. This method allow us to remove the difficulties and restrictions confronted in other methods. The feasibility of this method is confirmed by given numerical examples. the result presented that the proposed method is suitable, powerful and liable for obtaining the solution of fuzzy fractional problems with FFHEs.