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
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
  • [31] Applications of fuzzy conformable Laplace transforms for solving fuzzy conformable differential equations
    Awais Younus
    Muhammad Asif
    Usama Atta
    Tehmina Bashir
    Thabet Abdeljawad
    Soft Computing, 2023, 27 : 8583 - 8597
  • [32] Solving the BVP to a class of second-order linear fuzzy differential equations under granular differentiability concept
    Yang, Hong
    Wang, Fan
    Gong, Zengtai
    Journal of Intelligent and Fuzzy Systems, 2022, 42 (06): : 5483 - 5499
  • [33] Initial value problem for second-order random fuzzy differential equations
    Ho Vu
    Le Si Dong
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 23
  • [34] Initial value problem for second-order random fuzzy differential equations
    Ho Vu
    Le Si Dong
    Advances in Difference Equations, 2015
  • [35] Toward the existence and uniqueness of solutions of second-order fuzzy differential equations
    Allahviranloo, T.
    Kiani, N. A.
    Barkhordari, M.
    INFORMATION SCIENCES, 2009, 179 (08) : 1207 - 1215
  • [36] Laplace transform formula on fuzzy nth-order derivative and its application in fuzzy ordinary differential equations
    M. Barkhordari Ahmadi
    N. A. Kiani
    N. Mikaeilvand
    Soft Computing, 2014, 18 : 2461 - 2469
  • [37] Laplace transform formula on fuzzy nth-order derivative and its application in fuzzy ordinary differential equations
    Ahmadi, M. Barkhordari
    Kiani, N. A.
    Mikaeilvand, N.
    SOFT COMPUTING, 2014, 18 (12) : 2461 - 2469
  • [38] Solving fuzzy fractional differential equations using fuzzy Sumudu transform
    Rahman, Norazrizal Aswad Abdul
    Ahmad, Muhammad Zaini
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (05): : 2620 - 2632
  • [39] Solving Partial Fuzzy Integro-Differential Equations Using Fuzzy Sumudu Transform Method
    Georgieva, Atanaska
    Spasova, Mira
    SEVENTH INTERNATIONAL CONFERENCE ON NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2020), 2021, 2321
  • [40] Fuzzy Higher Derivative Block Method with Generalised Steplength for Direct Solution of Second-Order Fuzzy Ordinary Differential Equations
    Hussain, Kashif
    Adeyeye, Oluwaseun
    Ahmad, Nazihah
    IAENG International Journal of Computer Science, 2022, 49 (04)