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
  • [21] MAHGOUB TRANSFORM AND HYERS-ULAM STABILITY OF FIRST-ORDER LINEAR DIFFERENTIAL EQUATIONS
    Jung, Soon-Mo
    Arumugam, Ponmana Selvan
    Ramdoss, Murali
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (03): : 1201 - 1218
  • [22] Hyers-Ulam and Hyers-Ulam-Rassias Stability for a Class of Integro-Differential Equations
    Castro, L. P.
    Simoes, A. M.
    MATHEMATICAL METHODS IN ENGINEERING: THEORETICAL ASPECTS, 2019, 23 : 81 - 94
  • [23] Hyers-Ulam and Hyers-Ulam-Aoki-Rassias Stability for Linear Ordinary Differential Equations
    Mohapatra, A. N.
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2015, 10 (01): : 149 - 161
  • [24] Hyers-Ulam Stability of Polynomial Equations
    Bidkham, M.
    Mezerji, H. A. Soleiman
    Gordji, M. Eshaghi
    ABSTRACT AND APPLIED ANALYSIS, 2010,
  • [25] Hyers-Ulam stability for quantum equations
    Anderson, Douglas R.
    Onitsuka, Masakazu
    AEQUATIONES MATHEMATICAE, 2021, 95 (02) : 201 - 214
  • [26] Hyers-Ulam Stability of Fifth Order Linear Differential Equations
    Bowmiya, S.
    Balasubramanian, G.
    Govindan, Vediyappan
    Donganon, Mana
    Byeon, Haewon
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (04): : 3585 - 3609
  • [27] Hyers-Ulam stability of Hadamard fractional stochastic differential equations
    Ben Makhlouf, Abdellatif
    Mchiri, Lassaad
    Rhaima, Mohamed
    Sallay, Jihen
    FILOMAT, 2023, 37 (30) : 10219 - 10228
  • [28] Hyers-Ulam stability of nth order linear differential equations
    Li, Tongxing
    Zada, Akbar
    Faisal, Shah
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2070 - 2075
  • [29] HYERS-ULAM STABILITY OF A CLASS OF FRACTIONAL LINEAR DIFFERENTIAL EQUATIONS
    Wang, Chun
    Xu, Tian-Zhou
    KODAI MATHEMATICAL JOURNAL, 2015, 38 (03) : 510 - 520
  • [30] Hyers-Ulam stability of delay differential equations of first order
    Huang, Jinghao
    Li, Yongjin
    MATHEMATISCHE NACHRICHTEN, 2016, 289 (01) : 60 - 66
12345