3 papers
math.NA2025
Parareal in time and spectral in space fast L1 quasilinear subdiffusion solver
Josefa Caballero, Łukasz Płociniczak, Kishin Sadarangani
We consider the initial-boundary value problem for a quasilinear time-fractional diffusion equation, and develop a fully discrete solver combining the parareal algorithm in time wi…
math.NA2025
Functional equation arising in behavioral sciences: solvability and collocation scheme in Hölder spaces
Josefa Caballero, Hanna Okrasińska-Płociniczak, Łukasz Płociniczak +1
We consider a generalization of a functional equation that models the learning process in various animal species. The equation can be considered nonlocal, as it is built with a con…
math.CA2016
About the existence of solutions for a hybrid nonlinear generalized fractional pantograph equation
E. T. Karimov, B. Lopez, K. Sadarangani
The main purpose of this paper is to study the existence of solutions for the following hybrid nonlinear fractional pantograph equation $$ \left\{\begin{aligned} &D_{0+}^α\left[\fr…