{"title":"求解模糊随机微分方程的欧拉方法的收敛性和稳定性","authors":"A. Seyed, A. Nobar","doi":"10.5899/2015/JFSVA-00230","DOIUrl":null,"url":null,"abstract":"In this paper we propose convergence and stability properties of Euler method for solving fuzzy stochastic differential equations under generalized differentiability concept. It is used to find the analytical solution of method for some fuzzy stochastic differential equations (FSDEs). The related theorems and properties are proved in detail and the method is illustrated by solving some examples.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Convergence and stability properties Euler method for solving fuzzy Stochastic differential equations\",\"authors\":\"A. Seyed, A. Nobar\",\"doi\":\"10.5899/2015/JFSVA-00230\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we propose convergence and stability properties of Euler method for solving fuzzy stochastic differential equations under generalized differentiability concept. It is used to find the analytical solution of method for some fuzzy stochastic differential equations (FSDEs). The related theorems and properties are proved in detail and the method is illustrated by solving some examples.\",\"PeriodicalId\":308518,\"journal\":{\"name\":\"Journal of Fuzzy Set Valued Analysis\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Fuzzy Set Valued Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5899/2015/JFSVA-00230\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Fuzzy Set Valued Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5899/2015/JFSVA-00230","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Convergence and stability properties Euler method for solving fuzzy Stochastic differential equations
In this paper we propose convergence and stability properties of Euler method for solving fuzzy stochastic differential equations under generalized differentiability concept. It is used to find the analytical solution of method for some fuzzy stochastic differential equations (FSDEs). The related theorems and properties are proved in detail and the method is illustrated by solving some examples.