Stability Results and Parametric Delayed Mittag–Leffler Matrices in Symmetric Fuzzy–Random Spaces with Application
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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-10-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/15/10/1880 |
| _version_ | 1797572177211424768 |
|---|---|
| author | Donal O’Regan Safoura Rezaei Aderyani Reza Saadati Chenkuan Li |
| author_facet | Donal O’Regan Safoura Rezaei Aderyani Reza Saadati Chenkuan Li |
| author_sort | Donal O’Regan |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T20:51:39Z |
| format | Article |
| id | doaj.art-40e08e4a2b344468a2c341109ab5c7e1 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T20:51:39Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-40e08e4a2b344468a2c341109ab5c7e12023-11-19T18:18:09ZengMDPI AGSymmetry2073-89942023-10-011510188010.3390/sym15101880Stability Results and Parametric Delayed Mittag–Leffler Matrices in Symmetric Fuzzy–Random Spaces with ApplicationDonal O’Regan0Safoura Rezaei Aderyani1Reza Saadati2Chenkuan Li3School of Mathematical and Statistical Sciences, University of Galway, University Road, H91 TK33 Galway, IrelandSchool of Mathematics, Iran University of Science and Technology, Narmak, Tehran 13114-16846, IranSchool of Mathematics, Iran University of Science and Technology, Narmak, Tehran 13114-16846, IranDepartment of Mathematics and Computer Science, Brandon University, Brandon, MB R7A 6A9, CanadaWe 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.https://www.mdpi.com/2073-8994/15/10/1880stabilityspecial functionsdelayed Mittag–Leffler matricesaggregation mapssymmetric fuzzy-random spaces |
| spellingShingle | Donal O’Regan Safoura Rezaei Aderyani Reza Saadati Chenkuan Li Stability Results and Parametric Delayed Mittag–Leffler Matrices in Symmetric Fuzzy–Random Spaces with Application Symmetry stability special functions delayed Mittag–Leffler matrices aggregation maps symmetric fuzzy-random spaces |
| title | Stability Results and Parametric Delayed Mittag–Leffler Matrices in Symmetric Fuzzy–Random Spaces with Application |
| title_full | Stability Results and Parametric Delayed Mittag–Leffler Matrices in Symmetric Fuzzy–Random Spaces with Application |
| title_fullStr | Stability Results and Parametric Delayed Mittag–Leffler Matrices in Symmetric Fuzzy–Random Spaces with Application |
| title_full_unstemmed | Stability Results and Parametric Delayed Mittag–Leffler Matrices in Symmetric Fuzzy–Random Spaces with Application |
| title_short | Stability Results and Parametric Delayed Mittag–Leffler Matrices in Symmetric Fuzzy–Random Spaces with Application |
| title_sort | stability results and parametric delayed mittag leffler matrices in symmetric fuzzy random spaces with application |
| topic | stability special functions delayed Mittag–Leffler matrices aggregation maps symmetric fuzzy-random spaces |
| url | https://www.mdpi.com/2073-8994/15/10/1880 |
| work_keys_str_mv | AT donaloregan stabilityresultsandparametricdelayedmittaglefflermatricesinsymmetricfuzzyrandomspaceswithapplication AT safourarezaeiaderyani stabilityresultsandparametricdelayedmittaglefflermatricesinsymmetricfuzzyrandomspaceswithapplication AT rezasaadati stabilityresultsandparametricdelayedmittaglefflermatricesinsymmetricfuzzyrandomspaceswithapplication AT chenkuanli stabilityresultsandparametricdelayedmittaglefflermatricesinsymmetricfuzzyrandomspaceswithapplication |