An equivalence lemma for a class of fuzzy implicit integro-differential equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:327

Article

Zeinali, Masoumeh¹  Shahmorad, Sedaghat¹ 

[1] Univ Tabriz, Fac Math Sci, Tabriz, Iran

关键词: Implicit equation;    Fuzzy integro-differential equation;    Equivalence lemma;   

DOI  :  10.1016/j.cam.2017.06.001

来源: Elsevier

【 摘 要 】

In the current paper, an equivalence lemma is proposed which converts a second order implicit form of nonlinear fuzzy Volterra integro-differential equation to four different kinds of nonlinear integral equations based on kind of GH-differentiability of the first and second derivatives. Finally, some examples are given to illustrate the theoretical results. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free