An equivalence lemma for a class of fuzzy implicit integro-differential equations
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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.
论文关键词:45JXX,94DXX,Implicit equation,Fuzzy integro-differential equation,Equivalence lemma
论文评审过程:Received 7 March 2017, Available online 15 June 2017, Version of Record 8 August 2017.
论文官网地址:https://doi.org/10.1016/j.cam.2017.06.001