Title of article
Solving fuzzy differential equations by using Picard method
Author/Authors
S. S. Behzadi، S. S. Behzadi نويسنده Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran S. S. Behzadi, S. S. Behzadi , T. Allahviranloo، T. Allahviranloo نويسنده T. Allahviranloo, T. Allahviranloo
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2016
Pages
11
From page
71
To page
81
Abstract
در اين مقاله دستگاه معادلات ديفرانسيل مرتبه اول فازي با شرايط اوليه فازي را با روش تكراري پيكارد تحت مشتق تعميم يافته حل ميكنيم. وجود و يكتايي جواب و همگرايي روش مذكور را مورد بررسي و اثبات قرار مي دهيم. در انتها چند مثال را مورد بررسي و حل قرار مي دهيم.
Abstract
In this paper, The Picard method is proposed to solve the system of first-order fuzzy differential equations $(FDEs)$ with fuzzy initial conditions under generalized $H$-differentiability. The
existence and uniqueness of the solution and convergence of the
proposed method are proved in details. Finally, the method is illustrated by solving some examples.
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Serial Year
2016
Journal title
Iranian Journal of Fuzzy Systems (IJFS)
Record number
2389793
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