Dynamic Game Problems of Approach for Fractional-Order Equations
We propose a general method for the solution of game problems of approach for dynamic systems with Volterra evolution. This method is based on the method of decision functions and uses the apparatus of the theory of set-valued mappings. Game problems for systems with Riemann–Liouville fractional der...
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| Date: | 2000 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4561 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510705241817088 |
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| author | Eydelman, S. D. Chikrii, A. A. Эйдельман, С. Д. Чикрий, А. А. Эйдельман, С. Д. Чикрий, А. А. |
| author_facet | Eydelman, S. D. Chikrii, A. A. Эйдельман, С. Д. Чикрий, А. А. Эйдельман, С. Д. Чикрий, А. А. |
| author_sort | Eydelman, S. D. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:31:24Z |
| description | We propose a general method for the solution of game problems of approach for dynamic systems with Volterra evolution. This method is based on the method of decision functions and uses the apparatus of the theory of set-valued mappings. Game problems for systems with Riemann–Liouville fractional derivatives and regularized Dzhrbashyan–Nersesyan derivatives (fractal games) are studied in more detail on the basis of matrix Mittag-Leffler functions introduced in this paper. |
| first_indexed | 2026-03-24T03:01:14Z |
| format | Article |
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| id | umjimathkievua-article-4561 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:01:14Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/10/1e6b0e8e5e0c3c47224b0d0da7129010.pdf |
| spelling | umjimathkievua-article-45612020-03-18T20:31:24Z Dynamic Game Problems of Approach for Fractional-Order Equations Динамические игровые задачи сближения для уравнений дробного порядка Eydelman, S. D. Chikrii, A. A. Эйдельман, С. Д. Чикрий, А. А. Эйдельман, С. Д. Чикрий, А. А. We propose a general method for the solution of game problems of approach for dynamic systems with Volterra evolution. This method is based on the method of decision functions and uses the apparatus of the theory of set-valued mappings. Game problems for systems with Riemann–Liouville fractional derivatives and regularized Dzhrbashyan–Nersesyan derivatives (fractal games) are studied in more detail on the basis of matrix Mittag-Leffler functions introduced in this paper. Запропоновано загальний метод розв'язку ігрових задач зближення для динамічних систем з вольтеррівською еволюцією. Цей метод базується на методі розв'язуючих функцій і використовує апарат теорії багатозначних відображень. Більш детально вивчено ігрові задачі для систем з дробовими за Ріманом-Ліувіллем похідними та регуляризованими похідними Джрбашяна-Нерсесяна (фрактальні ігри) на основі введених тут матричних функцій Міттаг-Леффлера. Institute of Mathematics, NAS of Ukraine 2000-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4561 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 11 (2000); 1566-1583 Український математичний журнал; Том 52 № 11 (2000); 1566-1583 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4561/5826 https://umj.imath.kiev.ua/index.php/umj/article/view/4561/5827 Copyright (c) 2000 Eydelman S. D.; Chikrii A. A. |
| spellingShingle | Eydelman, S. D. Chikrii, A. A. Эйдельман, С. Д. Чикрий, А. А. Эйдельман, С. Д. Чикрий, А. А. Dynamic Game Problems of Approach for Fractional-Order Equations |
| title | Dynamic Game Problems of Approach for Fractional-Order Equations |
| title_alt | Динамические игровые задачи сближения для уравнений дробного порядка |
| title_full | Dynamic Game Problems of Approach for Fractional-Order Equations |
| title_fullStr | Dynamic Game Problems of Approach for Fractional-Order Equations |
| title_full_unstemmed | Dynamic Game Problems of Approach for Fractional-Order Equations |
| title_short | Dynamic Game Problems of Approach for Fractional-Order Equations |
| title_sort | dynamic game problems of approach for fractional-order equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4561 |
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