Асимптотики и невязка уравнения Фишера-Колмогорова-Петровского-Пискунова с аномальной диффузией; Перспективы развития фундаментальных наук
| Parent link: | Перспективы развития фундаментальных наук.— 2015.— [С. 704-706] |
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| প্রধান লেখক: | |
| সংস্থা লেখক: | |
| অন্যান্য লেখক: | , |
| সংক্ষিপ্ত: | Заглавие с экрана Asymptotic solutions to the nonlocal one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation with fractional derivatives in the diffusion operator are constructed. Fractional derivative is determined in accordance with the Weil, Grunwald-Letnikov and Liouville approaches. Asymptotic solutions in a class of functions that are perturbations of a quasi-steady-state exact solution are found. The asymptotics constructed tend to this quasi-steady-state solution at large times. It is shown that the fractional derivatives lead to drift of the mass center of the system and break the symmetry of the initial distribution. |
| ভাষা: | রুশ |
| প্রকাশিত: |
2015
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| মালা: | Математика |
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | http://earchive.tpu.ru/handle/11683/19026 http://www.lib.tpu.ru/fulltext/c/2015/C21/221.pdf |
| বিন্যাস: | বৈদ্যুতিক গ্রন্থের অধ্যায় |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=613093 |
| দৈহিক বর্ননা: | 1 файл(400 Кб) |
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| সংক্ষিপ্ত: | Заглавие с экрана Asymptotic solutions to the nonlocal one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation with fractional derivatives in the diffusion operator are constructed. Fractional derivative is determined in accordance with the Weil, Grunwald-Letnikov and Liouville approaches. Asymptotic solutions in a class of functions that are perturbations of a quasi-steady-state exact solution are found. The asymptotics constructed tend to this quasi-steady-state solution at large times. It is shown that the fractional derivatives lead to drift of the mass center of the system and break the symmetry of the initial distribution. |