Крайова задача для нелокального за часом і простором дробово-диференціального аналогу біпараболічного еволюційного рівняння
DOI:
https://doi.org/10.17721/2706-9699.2025.1.01Ключові слова:
крайовi задачi для скiнченного iнтервалу, бiпараболiчне еволюцiйне рiвняння, дробово-диференцiальнi аналоги, некласичнi моделi, дробовi похiднi Капуто, регулярнi розв’язкиАнотація
В роботi виконана постановка i одержано розв’язок нестацiонарної крайової задачi для дробово-диференцiйного аналогу (з нелокальнiстю за часовою i просторовою змiнними) щодо вiдомого бiпараболiчного еволюцiйного диференцiйного рiвняння з частинними похiдними четвертого порядку та наведено умови iснування регулярного розв’язку зазначеної задачi.
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