Similarity solutions of fractional parabolic boundary value problems with uncertainty

Abstract We use similarity method to solve nonlinear fractional order fuzzy parabolic boundary value problem with Caputo fractional derivative. The fractional order fuzzy parabolic equation is converted into fuzzy fractional differential equation. Schauder’s fixed point theorem is used to derive the existence results. Finite difference method is used to obtain the numerical results. Examples are provided to justify the results.