52 citations · 63 across the 8 of their papers we have counts for
9 papers
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…
Generalized capillary-rise models: existence and fast solvers in integral Hölder spaces
Josefa Caballero, Łukasz Płociniczak, Kishin Sadarangani
We study a class of nonlinear Volterra integral equations that generalize the classical capillary rise models, allowing for nonsmooth kernels and nonlinearities. To accommodate suc…
Barenblatt solutions for the time-fractional porous medium equation: approach via integral equations
Josefa Caballero, Hanna Okrasińska-Płociniczak, Łukasz Płociniczak +1
This paper explores Barenblatt solutions of the time-fractional porous medium equation, characterized by a Caputo-type time derivative. Employing an integral equation approach, we…
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…
Collocation method for a functional equation arising in behavioral sciences
Josefa Caballero, Hanna Okrasińska-Płociniczak, Łukasz Płociniczak +1
We consider a nonlocal functional equation that is a generalization of the mathematical model used in behavioral sciences. The equation is built upon an operator that introduces a…
Existence and uniqueness of solutions in the Lipschitz space of a functional equation and its application to the behavior of the paradise fish
Josefa Caballero, Łukasz Płociniczak, Kishin Sadarangani
In this paper, we examine the solvability of a functional equation in a Lipschitz space. As an application, we use our result to determine the existence and uniqueness of solutions…
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 $$ \left\{\begin{aligned} &D_{0+}^α\left[\fr…
On a differential equation with Caputo-Fabrizio fractional derivative of order and application to mass-spring-damper system
Nasser Al-Salti, Erkinjon Karimov, Kishin Sadarangani
In this work, we investigate a linear differential equation involving Caputo-Fabrizio fractional derivative of order . Under some assumptions the considered equation is…
Riesz transforms and multipliers for the Bessel-Grushin operator
Víctor Almeida, Jorge J. Betancor, Alejandro J. Castro +1
We establish that the spectral multiplier associated to the differential operator $$ G_α=- Δ_x +\sum_{j=1}^m{{α_j^2-1/4}\over{x_j^2}}-|x|^2 Δ_y \; \text{on} (0,\inf…