We study the existence of global weak solutions of a nonlinear transport-diffusion equation with a fractional derivative in the time variable and under some extra hypotheses, we also study some regularity properties for this type of solutions. In the system considered here, the diffusion operator is given by a fractional Laplacian and the nonlinear drift is assumed to be divergence free and it is assumed to satisfy some general stability and boundedness properties in Lebesgue spaces
We are concerned with non-local diffusion equations in the presence of a divergence free drift term....
We are interested in some properties related to the solutions of non-local diffusion equations with ...
Abstract In this paper we study linear and nonlinear fractional diffusion equations with the Caputo ...
We study the existence of global weak solutions of a nonlinear transport-diffusion equation with a f...
In the present paper, we study the Cauchy-Dirichlet problem to a nonlocal nonlinear diffusion equati...
We discuss an initial-boundary problem for a time-fractional diffusion equation with non-zero Dirich...
In the present paper, we study the Cauchy-Dirichlet problem to the nonlocal nonlinear diffusion equa...
We prove estimates for the partial derivatives of the solution to a time-fractional diffusion equati...
In this paper, we investigate the blow-up and global existence of solutions to the following time fr...
In this contribution, we investigate an initial-boundary value problem for a fractional diffusion eq...
We give some necessary conditions for local and global existence of a solution to reaction-diffusion...
This paper is meant to establish sufficient conditions for the nonexistence of weak solutions to non...
A time-fractional space-nonlocal reaction-diffusion equation in a bounded domain is considered. Firs...
We study the well-posedness for initial boundary value problems associated with time fractional diff...
In this paper, we investigate a class of nonautonomous fractional diffusion equations (NFDEs). First...
We are concerned with non-local diffusion equations in the presence of a divergence free drift term....
We are interested in some properties related to the solutions of non-local diffusion equations with ...
Abstract In this paper we study linear and nonlinear fractional diffusion equations with the Caputo ...
We study the existence of global weak solutions of a nonlinear transport-diffusion equation with a f...
In the present paper, we study the Cauchy-Dirichlet problem to a nonlocal nonlinear diffusion equati...
We discuss an initial-boundary problem for a time-fractional diffusion equation with non-zero Dirich...
In the present paper, we study the Cauchy-Dirichlet problem to the nonlocal nonlinear diffusion equa...
We prove estimates for the partial derivatives of the solution to a time-fractional diffusion equati...
In this paper, we investigate the blow-up and global existence of solutions to the following time fr...
In this contribution, we investigate an initial-boundary value problem for a fractional diffusion eq...
We give some necessary conditions for local and global existence of a solution to reaction-diffusion...
This paper is meant to establish sufficient conditions for the nonexistence of weak solutions to non...
A time-fractional space-nonlocal reaction-diffusion equation in a bounded domain is considered. Firs...
We study the well-posedness for initial boundary value problems associated with time fractional diff...
In this paper, we investigate a class of nonautonomous fractional diffusion equations (NFDEs). First...
We are concerned with non-local diffusion equations in the presence of a divergence free drift term....
We are interested in some properties related to the solutions of non-local diffusion equations with ...
Abstract In this paper we study linear and nonlinear fractional diffusion equations with the Caputo ...