Strongly continuous resolving operators families for equations with the Riemann–Liouville derivative
https://doi.org/10.25587/2411-9326-2025-2-118-119
Abstract
The search is carried out for necessary and sufficient conditions on a linear closed operator for the existence of a strongly continuous resolving family to an equation resolved with respect to the Riemann — Liouville fractional derivative, with the corresponding operator at the unknown function.
About the Author
V. E. Fedorov
Chelyabinsk State University
Russian Federation
Russian Federation
Vladimir E. Fedorov, Mathematics Faculty, Mathematical Analysis Department
129 Kashirin Brothers Street, Chelaybinsk 454001
References
1. Федоров В. Е., Авилович А. С. Задача типа Коши для вырожденного уравнения с производной Римана — Лиувилля в секториальном случае // Сиб. мат. журн. 2019. Т. 60, № 2. С. 461–477.
2. Глушак А. В. О задаче типа коши для абстрактного дифференциального уравнения с дробной производной // Вестн. Воронеж. гос. ун-та. Сер.: Физика. Математика. 2001. № 2. С. 74–77.
Review
For citations:
Fedorov V.E. Strongly continuous resolving operators families for equations with the Riemann–Liouville derivative. Mathematical notes of NEFU. 2025;32(2):118-119. (In Russ.) https://doi.org/10.25587/2411-9326-2025-2-118-119
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