Explicit Solutions of Fuzzy Time Fractional Diffusion Equations in Double Parametric Form of Fuzzy Number

Abstract

Fuzzy fractional diffusion equations are used to model certain physical phenomena. In this paper, two explicit finite difference schemes, that is the forward time centre space (FTCS) and Saulev’s scheme methods are considered for solving fuzzy time fractional diffusion equation. The time fractional derivative is defined using the Caputo formula. The fuzziness is represented using convex normalized triangular fuzzy numbers based on a double parametric form of fuzzy number. A numerical example is presented to illustrate the feasibility of the proposed methods.