Application of iterative method for solving fuzzy Bernoulli equation under generalized H-differentiability

Abstract

In this paper, the Picard method is proposed to solve the Bernoulli equation with fuzzy initial condition under generalized <em><span style="font-family: CMMI10; font-size: small;"><span style="font-family: CMMI10; font-size: small;">H</span></span></em><span style="font-family: CMR10; font-size: small;"><span style="font-family: CMR10; font-size: small;">-differentiability. The existence and uniqueness of the solution and convergence </span></span>of the proposed method are proved in details. Finally an example shows the accuracy of this method.