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

Advances in Difference Equations

Elhassan ElJaoui²  L Saadia Chadli³  Said Melliani⁴ 

[1] Calcul Scientifique, Sultan Moulay Slimane University, Beni Mellal, Morocco;Laboratoire de Mathées &matiques Appliqué

关键词: fuzzy differential equation;    fuzzy second-order differential equation;    fuzzy Laplace transform;    generalized Hukuhara differentiability;   

DOI  :  10.1186/s13662-015-0414-x

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY