3 papers
math.PR2025
On asymptotic behavior of solutions to random fractional Riesz-Bessel equations with cyclic long memory initial conditions
Maha Mosaad A. Alghamdi, Andriy Olenko
This paper investigates fractional Riesz-Bessel equations with random initial conditions. The spectra of these random initial conditions exhibit singularities both at zero frequenc…
math.PR2025
Multiscaling asymptotic behavior of solutions to random high-order heat equations
Maha Mosaad A Alghamdi, Nikolai Leonenko, Andriy Olenko
This paper studies high-order partial differential equations with random initial conditions that have both long-memory and cyclic behavior. The cases of random initial conditions w…
math.PR2025
Multiscaling limit theorems for stochastic FPDE with cyclic long-range dependence
Maha Mosaad A Alghamdi, Nikolai Leonenko, Andriy Olenko
The paper studies solutions of stochastic partial differential equations with random initial conditions. First, it overviews some of the known results on scaled solutions of such e…