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

Subject Areas : International Journal of Industrial Mathematics

Sh. Sadigh Behzadi ¹

1 - Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran.

Received: 2014-03-04 Accepted : 2014-03-04 Published : 2014-04-01

Keywords: Bernoulli equation, Fuzzy-valued function, H-difference, Generalized differentiability, Picard&#x0D, &#x0D, method,

Abstract :

In this paper, the Picard method is proposed to solve the Bernoulli equation with fuzzy initial condition under generalizedH-differentiability. The existence and uniqueness of the solution and convergence of the proposed method are proved in details. Finally an example shows the accuracy of this method.