This accessible monograph is devoted to a rapidly develo** 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 …

On existence and regularity of a terminal value problem for the time fractional diffusion equation
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We study the fractional in time reaction–diffusion equation∂ t α u= Δ u+ f (u) in RN×(0, T), u
(x, 0)= u 0 (x) in RN, where 0< α< 1, N≥ 1, T> 0 and u 0≥ 0. The fractional derivative∂ t α is …

This work is concerned with well-posedness results for nonlocal semi-linear wave equations
involving the fractional Laplacian and fractional derivative operator taken in the sense of …

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 …