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Paper Information

Journal:   INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS   SUMMER 2013 , Volume 5 , Number 3; Page(s) 251 To 257.
 
Paper: 

A METHOD FOR SOLVING FIRST ORDER FUZZY DIFFERENTIAL EQUATION

 
 
Author(s):  SEDAGHATFAR O.*, DARABI P., MOLOUDZADEH S.
 
* DEPARTMENT OF MATHEMATICS, SHAHR E REY BRANCH, ISLAMIC AZAD UNIVERSITY, SHAHR E REY, IRAN
 
Abstract: 

In this paper, a new approach for solving first-order fuzzy differential equation (FDE) with fuzzy initial value under strongly generalized H-differentiability is considered. The idea of the presented approach is constructed based on the extending 0-cut and 1-cut solution of original FDE. First, under H-differentiability the solutions of fuzzy differential equations in 0-cut and 1-cut cases are found and convex combination of them, is considered. Then we choose the initial interval that 0-cut of original problem is positive. The obtained convex combination on this interval is the solution of FDE.

 
Keyword(s): FUZZY DIFFERENTIAL EQUATION (FDE), INTERVAL DIFFERENTIAL EQUATION, STRONGLY GENERALIZED H-DIFFERENTIABILITY
 
 
References: 
 
Citations: 
 
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APA: Copy

SEDAGHATFAR, O., & DARABI, P., & MOLOUDZADEH, S. (2013). A METHOD FOR SOLVING FIRST ORDER FUZZY DIFFERENTIAL EQUATION. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 5(3), 251-257. https://www.sid.ir/en/journal/ViewPaper.aspx?id=312166



Vancouver: Copy

SEDAGHATFAR O., DARABI P., MOLOUDZADEH S.. A METHOD FOR SOLVING FIRST ORDER FUZZY DIFFERENTIAL EQUATION. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS. 2013 [cited 2021October20];5(3):251-257. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=312166



IEEE: Copy

SEDAGHATFAR, O., DARABI, P., MOLOUDZADEH, S., 2013. A METHOD FOR SOLVING FIRST ORDER FUZZY DIFFERENTIAL EQUATION. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, [online] 5(3), pp.251-257. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=312166.



 
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