Solving second-order fuzzy differential equations by the fuzzy Laplace transform method

被引：0
|
作者：
Elhassan ElJaoui
Said Melliani
L Saadia Chadli
机构：
[1] Sultan Moulay Slimane University,Laboratoire de Mathématiques Appliquées & Calcul Scientifique
来源：
Advances in Difference Equations | / 2015卷
关键词：
fuzzy differential equation; fuzzy second-order differential equation; fuzzy Laplace transform; generalized Hukuhara differentiability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the fuzzy Laplace transforms introduced by the authors in (Allahviranloo and Ahmadi in Soft Comput. 14:235-243, 2010) to solve only first-order fuzzy linear differential equations. We extend and use this method to solve second-order fuzzy linear differential equations under generalized Hukuhara differentiability.
引用
收藏
相关论文
共 50 条
  • [11] Differential Transform Method: A Tool for Solving Fuzzy Differential Equations
    Kadkhoda N.
    Roushan S.S.
    Jafari H.
    International Journal of Applied and Computational Mathematics, 2018, 4 (1)
  • [12] A Mellin transform method for solving fuzzy differential equations
    Sun, Xian
    Yang, Zhanpeng
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [13] A Mellin transform method for solving fuzzy differential equations
    Xian Sun
    Zhanpeng Yang
    Advances in Difference Equations, 2016
  • [14] Fuzzy Laplace transform method for the Ulam stability of linear fuzzy differential equations of first order with constant coefficients
    Shen, Yonghong
    Chen, Wei
    Wang, Jing
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (01) : 671 - 680
  • [15] Solving fuzzy fractional differential equations by fuzzy Laplace transforms
    Salahshour, S.
    Allahviranloo, T.
    Abbasbandy, S.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (03) : 1372 - 1381
  • [16] Fuzzy generalized H-differential and applications to fuzzy differential equations of second-order
    Allahviranloo, Tofigh
    Hooshangian, Laleh
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (04) : 1951 - 1967
  • [17] An Efficient Method for Solving Second-Order Fuzzy Order Fuzzy Initial Value Problems
    Dallashi, Qamar
    Syam, Muhammed I.
    SYMMETRY-BASEL, 2022, 14 (06):
  • [18] Application of fuzzy differential transform method for solving fuzzy Volterra integral equations
    Salahshour, S.
    Allahviranloo, T.
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (03) : 1016 - 1027
  • [19] Solving fuzzy second-order nonlinear Volterra–Fredholm integro-differential equations by using Picard method
    Sh. S. Behzadi
    T. Allahviranloo
    S. Abbasbandy
    Neural Computing and Applications, 2012, 21 : 337 - 346
  • [20] Solving fuzzy fractional differential equations by a generalized differential transform method
    Rivaz A.
    Fard O.S.
    Bidgoli T.A.
    SeMA Journal, 2016, 73 (2) : 149 - 170
12345