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Stability Results and Parametric Delayed Mittag–Leffler Matrices in Symmetric Fuzzy–Random Spaces with Application

Donal O’Regan, Safoura Rezaei Aderyani, Reza Saadati, Chenkuan Li

2023Symmetry11 citationsDOIOpen Access PDF

Abstract

We introduce a matrix-valued fractional delay differential system in diverse cases and present Fox type stability results with applications of aggregated special functions. In addition we present an example showing the numerical solutions based on the second type Kudryashov method. Finally, via the method of variation of constants, and some properties of the parametric Mittag–Leffler matrices, we obtain both symmetric random and symmetric fuzzy finite-time stability results for the governing fractional delay model. A numerical example is considered to illustrate applicability of the study.

Topics & Concepts

Parametric statisticsMathematicsStability (learning theory)Applied mathematicsType (biology)Fuzzy logicMatrix (chemical analysis)Extension (predicate logic)Pure mathematicsComputer scienceStatisticsArtificial intelligenceMachine learningMaterials scienceEcologyBiologyProgramming languageComposite materialFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisFuzzy Systems and Optimization
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