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

Author:

O’Regan Donal1ORCID,Aderyani Safoura Rezaei2ORCID,Saadati Reza2ORCID,Li Chenkuan3ORCID

Affiliation:

1. School of Mathematical and Statistical Sciences, University of Galway, University Road, H91 TK33 Galway, Ireland

2. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 13114-16846, Iran

3. Department of Mathematics and Computer Science, Brandon University, Brandon, MB R7A 6A9, Canada

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.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

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