Mittag-Leffler Stability and Attractiveness of Pseudo Almost Periodic Solutions for Delayed Cellular Neural Networks
We consider a class of nonautonomous cellular neural networks (CNNs) with mixed delays, to study the solutions of these systems which are type pseudo almost periodicity. Using general measure theory and the Mittag-Leffler function, we obtain the existence of unique solutions for cellular neural equa...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/3186963 |
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| _version_ | 1832567547095941120 |
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| author | Zahra Eidinejad Reza Saadati Dušan D. Repovš |
| author_facet | Zahra Eidinejad Reza Saadati Dušan D. Repovš |
| author_sort | Zahra Eidinejad |
| collection | DOAJ |
| description | We consider a class of nonautonomous cellular neural networks (CNNs) with mixed delays, to study the solutions of these systems which are type pseudo almost periodicity. Using general measure theory and the Mittag-Leffler function, we obtain the existence of unique solutions for cellular neural equations and investigate the Mittag-Leffler stability and attractiveness of pseudo almost periodic functions. We also present numerical examples to illustrate the application of our results. |
| format | Article |
| id | doaj-art-ce08281821fb44ee98d0715339921872 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ce08281821fb44ee98d07153399218722025-02-03T01:01:19ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/3186963Mittag-Leffler Stability and Attractiveness of Pseudo Almost Periodic Solutions for Delayed Cellular Neural NetworksZahra Eidinejad0Reza Saadati1Dušan D. Repovš2School of MathematicsSchool of MathematicsFaculty of EducationWe consider a class of nonautonomous cellular neural networks (CNNs) with mixed delays, to study the solutions of these systems which are type pseudo almost periodicity. Using general measure theory and the Mittag-Leffler function, we obtain the existence of unique solutions for cellular neural equations and investigate the Mittag-Leffler stability and attractiveness of pseudo almost periodic functions. We also present numerical examples to illustrate the application of our results.http://dx.doi.org/10.1155/2022/3186963 |
| spellingShingle | Zahra Eidinejad Reza Saadati Dušan D. Repovš Mittag-Leffler Stability and Attractiveness of Pseudo Almost Periodic Solutions for Delayed Cellular Neural Networks Journal of Function Spaces |
| title | Mittag-Leffler Stability and Attractiveness of Pseudo Almost Periodic Solutions for Delayed Cellular Neural Networks |
| title_full | Mittag-Leffler Stability and Attractiveness of Pseudo Almost Periodic Solutions for Delayed Cellular Neural Networks |
| title_fullStr | Mittag-Leffler Stability and Attractiveness of Pseudo Almost Periodic Solutions for Delayed Cellular Neural Networks |
| title_full_unstemmed | Mittag-Leffler Stability and Attractiveness of Pseudo Almost Periodic Solutions for Delayed Cellular Neural Networks |
| title_short | Mittag-Leffler Stability and Attractiveness of Pseudo Almost Periodic Solutions for Delayed Cellular Neural Networks |
| title_sort | mittag leffler stability and attractiveness of pseudo almost periodic solutions for delayed cellular neural networks |
| url | http://dx.doi.org/10.1155/2022/3186963 |
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