On uniform stability and numerical simulations of complex valued neural networks involving generalized Caputo fractional order
Abstract The dynamics and existence results of generalized Caputo fractional derivatives have been studied by several authors. Uniform stability and equilibrium in fractional-order neural networks with generalized Caputo derivatives in real-valued settings, however, have not been extensively studied...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-02-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-024-53670-4 |
| _version_ | 1797275096223580160 |
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| author | Sumati Kumari Panda Thabet Abdeljawad A. M. Nagy |
| author_facet | Sumati Kumari Panda Thabet Abdeljawad A. M. Nagy |
| author_sort | Sumati Kumari Panda |
| collection | DOAJ |
| description | Abstract The dynamics and existence results of generalized Caputo fractional derivatives have been studied by several authors. Uniform stability and equilibrium in fractional-order neural networks with generalized Caputo derivatives in real-valued settings, however, have not been extensively studied. In contrast to earlier studies, we first investigate the uniform stability and equilibrium results for complex-valued neural networks within the framework of a generalized Caputo fractional derivative. We investigate the intermittent behavior of complex-valued neural networks in generalized Caputo fractional-order contexts. Numerical results are supplied to demonstrate the viability and accuracy of the presented results. At the end of the article, a few open questions are posed. |
| first_indexed | 2024-03-07T15:09:29Z |
| format | Article |
| id | doaj.art-c42c2bb48dc843099df0ce1336bbde0b |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-07T15:09:29Z |
| publishDate | 2024-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-c42c2bb48dc843099df0ce1336bbde0b2024-03-05T18:46:27ZengNature PortfolioScientific Reports2045-23222024-02-0114112410.1038/s41598-024-53670-4On uniform stability and numerical simulations of complex valued neural networks involving generalized Caputo fractional orderSumati Kumari Panda0Thabet Abdeljawad1A. M. Nagy2Department of Mathematics, GMR Institute of TechnologyDepartment of Mathematics and Sciences, Prince Sultan UniversityDepartment of Mathematics, College of Science, Kuwait UniversityAbstract The dynamics and existence results of generalized Caputo fractional derivatives have been studied by several authors. Uniform stability and equilibrium in fractional-order neural networks with generalized Caputo derivatives in real-valued settings, however, have not been extensively studied. In contrast to earlier studies, we first investigate the uniform stability and equilibrium results for complex-valued neural networks within the framework of a generalized Caputo fractional derivative. We investigate the intermittent behavior of complex-valued neural networks in generalized Caputo fractional-order contexts. Numerical results are supplied to demonstrate the viability and accuracy of the presented results. At the end of the article, a few open questions are posed.https://doi.org/10.1038/s41598-024-53670-4 |
| spellingShingle | Sumati Kumari Panda Thabet Abdeljawad A. M. Nagy On uniform stability and numerical simulations of complex valued neural networks involving generalized Caputo fractional order Scientific Reports |
| title | On uniform stability and numerical simulations of complex valued neural networks involving generalized Caputo fractional order |
| title_full | On uniform stability and numerical simulations of complex valued neural networks involving generalized Caputo fractional order |
| title_fullStr | On uniform stability and numerical simulations of complex valued neural networks involving generalized Caputo fractional order |
| title_full_unstemmed | On uniform stability and numerical simulations of complex valued neural networks involving generalized Caputo fractional order |
| title_short | On uniform stability and numerical simulations of complex valued neural networks involving generalized Caputo fractional order |
| title_sort | on uniform stability and numerical simulations of complex valued neural networks involving generalized caputo fractional order |
| url | https://doi.org/10.1038/s41598-024-53670-4 |
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