An Analytical Method for Solving Second-order Fuzzy Differential Equations

被引：0
|
作者：
Qahremani, E. [1 ]
Allahviranloo, T. [1 ,2 ]
Abbasbandy, S. [3 ]
Ahmady, N. [4 ]
机构：
[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran
[2] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkey
[3] Imam Khomeini Int Univ, Dept Appl Math, Qazvin, Iran
[4] Islamic Azad Univ, Varamin Pishva Branch, Dept Math, Varamin, Iran
来源：
JOURNAL OF MATHEMATICAL EXTENSION | 2022年 / 16卷 / 04期
关键词：
The generalized Hukuhara differentiability; The second-order fuzzy differential equation; The fuzzy Cauchy-Euler equation; The fuzzy Legendre equation; The fuzzy Chebyshev differential equation; GENERALIZED HUKUHARA DIFFERENTIABILITY; INTERVAL;
D O I：
10.30495/JME.2022.1836
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to obtaining an analytical solution for the second-order fuzzy differential equations by considering the type of generalized Hukuhara differentiability of the solution. The effectiveness and efficiency of the approaches are illustrated by solving several practical examples such as the fuzzy Cauchy-Euler equation, the fuzzy Legendre equation, and the fuzzy Chebyshev differential equation.
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页数：19
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