title: Solving Cauchy reaction-diffusion equation by using Picard method.
abstract: In this paper, Picard method is proposed to solve the Cauchy reaction-diffusion equation with fuzzy initial condition under generalized H-differentiability. The existence and uniqueness of the solution and convergence of the proposed method are proved in details. Some examples are investigated to verify convergence results and to illustrate the efficiently of the method. Also, we obtain the switching points in examples.
authors: Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
authors: Shadan Sadigh
authors: SS
authors: Behzadi
keywords: Cauchy reaction-diffusion equation; Fuzzy number; Fuzzy-valued function; Generalized differentiability; Picard method; h-difference