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

الموضوعات : مجله بین المللی ریاضیات صنعتی

Sh. Sadigh Behzadi ¹

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

تاريخ الإرسال : 03 الثلاثاء , جمادى الأولى, 1435 تاريخ التأكيد : 03 الثلاثاء , جمادى الأولى, 1435 تاريخ الإصدار : 01 الثلاثاء , جمادى الثانية, 1435

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

ملخص المقالة :

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.