Класичні розв'язки дробових за часом квазілінійних систем реакції-дифузії
DOI:
https://doi.org/10.3842/umzh.v77i2.1147Ключові слова:
похідна Капуто, простори Гельдера, класичний розв'язокАнотація
УДК 517.9
Проаналізовано квазілінійні системи реакції-дифузії з дробовими за часом похідними Капуто. Встановлено розв'яз\-ність початково-крайових задач з граничними умовами Діріхле і Робіна (Неймана) за певних припущень на задані дані. Існування розв'язку сформульованої задачі доведено за допомогою принципу нерухомої точки Лере–Шаудера. Принцип додатності розв'язку дозволяє застосувати метод верхніх-нижніх розв'язків. Наведено приклад верхнього і нижнього розв'язків для певної системи реакції-дифузії з дробовими за часом похідними.
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