Application of aggregated control functions for approximating C-Hilfer fractional differential equations
The main issue we are studying in this paper is that of aggregation maps, which refers to the process of combining various input values into a single output. We apply aggregated special maps on Mittag-Leffler-type functions in one parameter to get diverse approximation errors for fractional-order sy...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-10-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231433?viewType=HTML |
| _version_ | 1797644894062247936 |
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| author | Safoura Rezaei Aderyani Reza Saadati Donal O'Regan Fehaid Salem Alshammari |
| author_facet | Safoura Rezaei Aderyani Reza Saadati Donal O'Regan Fehaid Salem Alshammari |
| author_sort | Safoura Rezaei Aderyani |
| collection | DOAJ |
| description | The main issue we are studying in this paper is that of aggregation maps, which refers to the process of combining various input values into a single output. We apply aggregated special maps on Mittag-Leffler-type functions in one parameter to get diverse approximation errors for fractional-order systems in Hilfer sense using an optimal method. Indeed, making use of various well-known special functions that are initially chosen, we establish a new class of matrix-valued fuzzy controllers to evaluate maximal stability and minimal error. An example is given to illustrate the numerical results by charts and tables. |
| first_indexed | 2024-03-11T14:38:00Z |
| format | Article |
| id | doaj.art-5f976147a1114065b779cba4f328e28b |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-11T14:38:00Z |
| publishDate | 2023-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-5f976147a1114065b779cba4f328e28b2023-10-31T01:31:57ZengAIMS PressAIMS Mathematics2473-69882023-10-01811280102803210.3934/math.20231433Application of aggregated control functions for approximating C-Hilfer fractional differential equationsSafoura Rezaei Aderyani0Reza Saadati 1Donal O'Regan2Fehaid Salem Alshammari31. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran1. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran2. School of Mathematical and Statistical Sciences, University of Galway, Galway, University Road, H91 TK33 Galway, Ireland3. Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh 11432, Saudi ArabiaThe main issue we are studying in this paper is that of aggregation maps, which refers to the process of combining various input values into a single output. We apply aggregated special maps on Mittag-Leffler-type functions in one parameter to get diverse approximation errors for fractional-order systems in Hilfer sense using an optimal method. Indeed, making use of various well-known special functions that are initially chosen, we establish a new class of matrix-valued fuzzy controllers to evaluate maximal stability and minimal error. An example is given to illustrate the numerical results by charts and tables.https://www.aimspress.com/article/doi/10.3934/math.20231433?viewType=HTMLaggregation mapsspecial functionsstability |
| spellingShingle | Safoura Rezaei Aderyani Reza Saadati Donal O'Regan Fehaid Salem Alshammari Application of aggregated control functions for approximating C-Hilfer fractional differential equations AIMS Mathematics aggregation maps special functions stability |
| title | Application of aggregated control functions for approximating C-Hilfer fractional differential equations |
| title_full | Application of aggregated control functions for approximating C-Hilfer fractional differential equations |
| title_fullStr | Application of aggregated control functions for approximating C-Hilfer fractional differential equations |
| title_full_unstemmed | Application of aggregated control functions for approximating C-Hilfer fractional differential equations |
| title_short | Application of aggregated control functions for approximating C-Hilfer fractional differential equations |
| title_sort | application of aggregated control functions for approximating c hilfer fractional differential equations |
| topic | aggregation maps special functions stability |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231433?viewType=HTML |
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