Incomplect cauchy type problem for quasilinear fractional equations
https://doi.org/10.25587/2411-9326-2025-1-113-114
Abstract
Using the theory of fractional powers of the sectorial operator, the existence of a unique solution to an incomplete Cauchy-type problem for a quasi-linear differential equation in Banach space resolved with respect to the highest Riemann–Liouville derivative is proved.
About the Authors
T. A. Zakharova
Chelyabinsk State University
Russian Federation
Russian Federation
Tatyana A. Zakharova, Mathematics Faculty, Mathematical Analysis Department
129 Brat’ev Kashirinyh St., Chelaybinsk 454001
V. E. Fedorov
Chelyabinsk State University, Mathematics Faculty, Mathematical Analysis Department
Russian Federation
Russian Federation
Vladimir E. Fedorov, Mathematics Faculty, Mathematical Analysis Department
129 Brat’ev Kashirinyh St., Chelaybinsk 454001
References
1. Fedorov V. E., Avilovich A. S., Zakharova T. A. Complex powers of fractional sectorial operators and quasilinear equations with Riemann–Liouville derivatives // Lobachevskii J. Math. 2023. V. 44, N 2. P. 580–593.
Review
For citations:
Zakharova T.A., Fedorov V.E. Incomplect cauchy type problem for quasilinear fractional equations. Mathematical notes of NEFU. 2025;32(1):113-114. (In Russ.) https://doi.org/10.25587/2411-9326-2025-1-113-114
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