{"title":"SOLUTION TO A SYSTEM OF NON-LINEAR FUZZY DIFFERENTIAL EQUATION WITH GENERALIZED HUKUHARA DERIVATIVE VIA FIXED POINT THEOREM","authors":"Sushma Basi̇l, S. Antony","doi":"10.31197/atnaa.1232379","DOIUrl":null,"url":null,"abstract":"In this manuscript, we define a new class of control \nfunctions classified as ascendant functions. Consequently, we furnish \na fuzzy coupled fixed point result, that is different from one available \nin the literature, using the notion of simulation function; in follow, we \nvalidate the result through a non-trivial example. As an inference, we \nuse the result to analyze the existence of a solution for a non-linear \nsystem of fuzzy initial value problem involving generalized Hukuhara \nderivative.","PeriodicalId":7440,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Application","volume":"393 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in the Theory of Nonlinear Analysis and its Application","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31197/atnaa.1232379","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this manuscript, we define a new class of control
functions classified as ascendant functions. Consequently, we furnish
a fuzzy coupled fixed point result, that is different from one available
in the literature, using the notion of simulation function; in follow, we
validate the result through a non-trivial example. As an inference, we
use the result to analyze the existence of a solution for a non-linear
system of fuzzy initial value problem involving generalized Hukuhara
derivative.
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