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«ИЗВЕСТИЯ ИРКУТСКОГО ГОСУДАРСТВЕННОГО УНИВЕРСИТЕТА». СЕРИЯ «МАТЕМАТИКА»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

Список выпусков > Серия «Математика». 2022. Том 41

Существование и устойчивость решений одного класса стохастических дифференциальных уравнений в частных производных дробного порядка с шумом

Автор(ы)
Н. Бутераа1,2

1Университет Орана Ахмед Бен Белла, Оран, Алжир

2Высшая школа экономики, Оран, Алжир

Аннотация
В работе вводится дробный принцип Дюамеля и используется для установления ограниченности и устойчивости слабого решения исходного стохастического уравнения с дробными производными с начальными данными
Об авторах
Бутераа Н. Университет Орана Ахмед Бен Белла, Алжир, Оран, bouteraa-27@hotmail.fr
Ссылка для цитирования
Bouteraa N. Existence and Stability of Solutions for a Class of Stochastic Fractional Partial Differential Equation with a Noise // Известия Иркутского государственного университета. Серия Математика. 2022. Т. 41. C. 107– 120. https://doi.org/10.26516/1997-7670.2022.41.107
Ключевые слова
стохастическое дробное дифференциальное уравнение в частных производных, дробная производная, слабое решение, устойчивость
УДК
518.517
MSC
34A08, 34B10, 34B15
DOI
https://doi.org/10.26516/1997-7670.2022.41.107
Литература
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