A fuzzy generalized power series method under generalized Hukuhara differentiability for solving fuzzy Legendre differential equation

被引：0
|
作者：
Khadijeh Sabzi
Tofigh Allahviranloo
Saeid Abbasbandy
机构：
[1] Islamic Azad University,Department of Mathematics, Science and Research Branch
[2] Bahcesehir University,Facullty of Engineering and Natural Sciences
[3] Imam Khomeini International University,Department of Mathematics
来源：
Soft Computing | 2020年 / 24卷
关键词：
Fuzzy analytic functions; Ordinary point of fuzzy equation; Fuzzy comparison test; Uniqueness fuzzy analytic solution; Fuzzy generalized power series method; Fuzzy Legendre differential equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, first the fuzzy generalized power series method, in which the coefficients are fuzzy numbers, is introduced, and then, the conditions of the uniqueness of the solution and its convergence for the fuzzy differential equation are investigated. Then, using the fuzzy generalized power series method, the fuzzy Legendre differential equation is considered as a case study, and finally, for further illustration some related examples are solved.
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页码：8763 / 8779
页数：16
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