The Cauchy problems for discontinuous fuzzy systems under generalized differentiability

Volume 10, Issue 4, pp 2133--2143 http://dx.doi.org/10.22436/jnsa.010.04.66

Publication Date: April 20, 2017 Submission Date: July 11, 2016

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Authors

Qiang Ma - Network Information Management Center, Northwest University for Nationalities , Lanzhou 730030, Gansu, P. R. China. Ya-Bin Shao - School of Science, Chongqing University of Posts and Telecommunications, Nan’an 400065, Chongqing, P. R. China. Zeng-Tai Gong - College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, P. R. China.

Abstract

In this paper, we provide some existence theorems of generalized solutions to initial value problems for the discontinuous fuzzy differential equations and the retarded fuzzy functional differential equations by using properties of strong fuzzy Henstock integrals under strong GH-differentiability.

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Keywords

• Fuzzy number
• strong fuzzy Henstock integral
• fuzzy differential equations
• fuzzy retarded functional differential equations
• fuzzy generalized solution.

MSC

•  47H10
•  54H25

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