no code implementations • 11 Mar 2021 • Yuri Luchko, Anna Suzuki, Masahiro Yamamoto
In this paper, we prove a maximum principle for the general multi-term space-time-fractional transport equation and apply it for establishing uniqueness of solution to an initial-boundary-value problem for this equation.
Analysis of PDEs 26A33, 35A05, 35B30, 35B50, 35C05, 35E05, 35L05, 45K05, 60E99
no code implementations • 8 Feb 2021 • Yuri Luchko
In this paper, we address the general fractional integrals and derivatives with the Sonine kernels on the spaces of functions with an integrable singularity at the point zero.
Classical Analysis and ODEs 26A33, 26B30, 44A10, 45E10
