On the Analysis of Regularized Fuzzy Systems of Uncertain Differential Equations

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dc.contributor.authorMartynyuk, Anatoliy
dc.contributor.authorStamov, Gani
dc.contributor.authorStamova, Ivanka
dc.contributor.authorMartynyuk-Chernienko, Yulya
dc.date.accessioned2023-07-28T12:21:52Z
dc.date.available2023-07-28T12:21:52Z
dc.date.issued2023-06-30
dc.date.updated2023-07-28T12:21:53Z
dc.description.abstractThis article analyzes a regularized set of fuzzy differential equations with respect to an uncertain parameter. We provide sufficient conditions for the correctness of a new regularization scheme. For the resulting family of regularized fuzzy differential equations, the following properties are analyzed, and efficient criteria are proposed: successive approximations, continuity, global existence of solutions, existence of approximate solutions, existence of solutions in the autonomous case. In addition, we develop stability criteria for the regularized family of fuzzy differential equations on the basis of the comparison technique and the method of nonlinear integral inequalities. We expect that the derived results will inspire future research work in this direction.
dc.description.departmentMathematics
dc.identifierdoi: 10.3390/e25071010
dc.identifier.citationEntropy 25 (7): 1010 (2023)
dc.identifier.urihttps://hdl.handle.net/20.500.12588/2007
dc.rightsAttribution 4.0 United States
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectfuzzy differential equations
dc.subjectregularization correctness
dc.subjectsuccessive approximation
dc.subjectcontinuity
dc.subjectglobal solutions
dc.subjectapproximate solutions
dc.subjectautonomous fuzzy differential equations
dc.subjectstability analysis
dc.titleOn the Analysis of Regularized Fuzzy Systems of Uncertain Differential Equations
dc.typeArticle

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