A new method for solving fuzzy integro-differential equation under generalized differentiability

被引：37

作者：

Allahviranloo, T. ^{[1
]}

Abbasbandy, S. ^{[1
]}

Sedaghgatfar, O. ^{[1
]}

Darabi, P. ^{[1
]}

机构：

[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran 14515775, Iran

来源：

NEURAL COMPUTING & APPLICATIONS | 2012年 / 21卷

关键词：

Fuzzy integro-differential equation (FIDE); Interval integro-differential equation; Strongly generalized H-differentiability; VALUED FUNCTIONS;

D O I：

10.1007/s00521-011-0759-3

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, a new approach for solving fuzzy integro-differential equations (FIDEs) with fuzzy initial value is considered under strongly generalized H-differentiability. Notice the point that this method is used for fuzzy integro-differential equations with trapezoid fuzzy initial value. The idea of the presented approach is constructed based on the extending of 0-cut and 1-cut solutions of original FIDEs. The solution of FIDE will be found by considering convex combination of 0-cut and 1-cut solutions. The obtained solution will be exact by choosing the different types of derivatives.

引用

页码：S191 / S196

页数：6

共 30 条

[1] A new method for solving fuzzy integro-differential equation under generalized differentiability
T. Allahviranloo
S. Abbasbandy
O. Sedaghgatfar
P. Darabi
Neural Computing and Applications, 2012, 21 : 191 - 196
[2] Fuzzy functional integro-differential equations under generalized H-differentiability
Ngo Van Hoa
Nguyen Dinh Phu
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (04) : 2073 - 2085
[3] A fuzzy generalized power series method under generalized Hukuhara differentiability for solving fuzzy Legendre differential equation
Sabzi, Khadijeh
Allahviranloo, Tofigh
Abbasbandy, Saeid
SOFT COMPUTING, 2020, 24 (12) : 8763 - 8779
[4] The local existence of solutions for random fuzzy integro-differential equations under generalized H-differentiability
Ho Vu
Ngo Van Hoa
Nguyen Dinh Phu
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (06) : 2701 - 2717
[5] A modified Euler method for solving fuzzy differential equations under generalized differentiability
Ahmady, N.
Allahviranloo, T.
Ahmady, E.
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (02):
[6] A semianalytical method for fuzzy integro-differential equations under generalized Seikkala derivative
Biswas, Suvankar
Roy, Tapan Kumar
SOFT COMPUTING, 2019, 23 (17) : 7959 - 7975
[7] A numerical method for solving first-order fully fuzzy differential equation under strongly generalized H-differentiability
Darabi, P.
Moloudzadeh, S.
Khandani, H.
SOFT COMPUTING, 2016, 20 (10) : 4085 - 4098
[8] A numerical method for solving first-order fully fuzzy differential equation under strongly generalized H-differentiability
P. Darabi
S. Moloudzadeh
H. Khandani
Soft Computing, 2016, 20 : 4085 - 4098
[9] A New Method for Solving Fuzzy Bernoulli Differential Equation
Babakordi, F.
Allahviranloo, T.
JOURNAL OF MATHEMATICAL EXTENSION, 2021, 15 (04)
[10] The Cauchy problem of fuzzy differential equations under generalized differentiability
Li, Jinxian
Zhao, Aimin
Yan, Jurang
FUZZY SETS AND SYSTEMS, 2012, 200 : 1 - 24

← 1 2 3 →