This accessible monograph is devoted to a rapidly developing area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …

This research monograph is motivated by problems in mathematical physics that involve
fractional kinetic equations. These equations describe transport dynamics in complex …

We consider the terminal value problem (or called final value problem, initial inverse
problem, backward in time problem) of determining the initial value, in a general class of …

In this paper, we study the well-posedness and regularity of mild solutions for a class of time
fractional damped wave equations, which the fractional derivatives in time are taken in the …

In this paper, we consider the nonconforming virtual element method (VEM) for the
approximation of the time fractional reaction–subdiffusion equation involving the Caputo …

In this work, we consider the time-fractional diffusion equations depend on fractional orders.
In more detail, we study on the initial value problems for the time semi-linear fractional …

In this paper, we study the solvability of Cauchy problem for a class of non-autonomous
fractional evolution equation with Caputo's fractional derivative of order α∈(1, 2), which can …

This paper studies a time-fractional diffusion-wave equation with a linear source function.
First, some stability results on parameters of the Mittag-Leffler functions are established …

On existence and regularity of a terminal value problem for the time fractional diffusion equation
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We investigate the controllability from the exterior of space-time fractional wave equations
involving the Caputo time fractional derivative with the fractional Laplace operator subject to …