In this paper we investigate the porous medium equation with a time-fractional derivative.
We justify that the resulting equation emerges when we consider a waiting-time (or trapping) …

This paper describes a method of approximating equations with the Erdélyi--Kober fractional
operator which arise in mathematical descriptions of anomalous diffusion. We prove a …

We analyze a viscoelastic body in a linear stress state by the use of the distributed complex
order fractional derivative in the constitutive equation. A model is formulated so that it takes …

This paper presents an abstract theory on well-posedness for time-fractional evolution
equations governed by subdifferential operators in Hilbert spaces. The proof relies on a …

Improved double-integration technique to approximate integral-balance solutions of non-
linear fractional subdiffusion equations has been conceived. The time-fraction subdiffusion …

In this article, the so-called fractional nonlinear space-time wave-diffusion equation is
presented and discussed. This equation is solved by the similarity method using fractional …

This paper deals with a construction and convergence analysis of a numerical scheme
devised for solving the time-fractional porous medium equation with Dirichlet boundary …

In this paper, we first consider the numerical method that Lin and Xu proposed and analyzed
in [Finite difference/spectral approximations for the time-fractional diffusion equation, JCP …

A nonlinear time-fractional inverse coefficient problem is considered. The unknown
coefficient depends on the solution. It is proved that the direct problem has a unique …

In this article, we discussed a high-dimensional time fractional diffusion equation which is
used to write many nonlinear phenomena in three dimensional space diffusion processes …