Hyers-Ulam stability of Hermite fuzzy differential equations and fuzzy Mellin transform

被引：4
|
作者：
Ren, Wenjuan [1 ]
Yang, Zhanpeng [1 ]
Sun, Xian [1 ]
Qi, Min [2 ]
机构：
[1] Chinese Acad Sci, Inst Elect, Key Lab Technol Geospatial Informat Proc & Applic, Beijing 100190, Peoples R China
[2] Beijing Coll Finance & Commerce, Basic Teaching Dept, Beijing, Peoples R China
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2018年 / 35卷 / 03期
关键词：
Mellin transform method; Hermite fuzzy differential equation; H-difference; LINEAR FUNCTIONAL-EQUATION; INTEGRAL-EQUATIONS; LAPLACE TRANSFORMS; VALUED FUNCTIONS; SPACES;
D O I：
10.3233/JIFS-18523
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, we introduce a fuzzy Mellin transform method for solving Hermite fuzzy differential equations. The fuzzy Mellin transform reduce the problem of solving a Hermite fuzzy differential equation to a problem of solving a difference equation, whose inverse transform gives the solution of the fuzzy differential equation at hands. Under some conditions, we also give some Hyers-Ulam stability result of Hermite fuzzy differential equations.
引用
收藏
页码：3721 / 3731
页数：11
相关论文
共 50 条
  • [31] Hyers-Ulam stability of linear differential equations of first order
    Jung, SM
    APPLIED MATHEMATICS LETTERS, 2004, 17 (10) : 1135 - 1140
  • [32] Hyers-Ulam stability of linear differential equations of first order
    Wang, Guangwa
    Zhou, Mingru
    Sun, Li
    APPLIED MATHEMATICS LETTERS, 2008, 21 (10) : 1024 - 1028
  • [33] ON HYERS-ULAM STABILITY FOR NONLINEAR DIFFERENTIAL EQUATIONS OF NTH ORDER
    Qarawani, Maher Nazmi
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2013, 2 (01): : 71 - 78
  • [34] Hyers-Ulam stability of linear differential equations of second order
    Li, Yongjin
    Shen, Yan
    APPLIED MATHEMATICS LETTERS, 2010, 23 (03) : 306 - 309
  • [35] Hyers-Ulam Stability of a System of Hyperbolic Partial Differential Equations
    Marian, Daniela
    Ciplea, Sorina Anamaria
    Lungu, Nicolaie
    MATHEMATICS, 2022, 10 (13)
  • [36] HYERS-ULAM STABILITY OF A CLASS OF DIFFERENTIAL EQUATIONS OF SECOND ORDER
    Abdollahpour, Mohammad Reza
    Park, Choonkil
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (05) : 899 - 903
  • [37] Hyers-Ulam stability of first-order linear differential equations using Aboodh transform
    Murali, Ramdoss
    Selvan, Arumugam Ponmana
    Baskaran, Sanmugam
    Park, Choonkil
    Lee, Jung Rye
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [38] Hyers-Ulam Stability of Power Series Equations
    Bidkham, M.
    Mezerji, H. A. Soleiman
    Gordji, M. Eshaghi
    ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [39] On Hyers-Ulam Stability of Monomial Functional Equations
    A. Gilányi
    Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1998, 68 : 321 - 328
  • [40] HYERS-ULAM STABILITY OF TRIGONOMETRIC FUNCTIONAL EQUATIONS
    Chang, Jeongwook
    Chung, Jaeyoung
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 23 (04): : 567 - 575
12345