The Use of Fuzzy Variational Iteration Method For Solving Second-Order Fuzzy Abel-Volterra Integro-Differential Equations‎

الموضوعات : مجله بین المللی ریاضیات صنعتی

S. Sadigh Behzadi ¹ (Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran.)

تاريخ الإرسال : 17 الجمعة , جمادى الأولى, 1437 تاريخ التأكيد : 21 الثلاثاء , رمضان, 1439 تاريخ الإصدار : 15 الأحد , رجب, 1439

الکلمات المفتاحية: Fuzzy integro-differential equations, Abel and Volterra integral equations, Fuzzy variational iteration method,

ملخص المقالة :

In this paper, fuzzy variational iteration method (FVIM) is proposed to solve the second- order fuzzy Abel-Volterra integro-differential equations. The existence and uniqueness of the solution and convergence of the proposed method are proved in details. is investigated to verify convergence results and to illustrate the efficiently of the method.