[图书][B] Basic theory of fractional differential equations
Y Zhou - 2023 - books.google.com
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 …
qualitative theory of fractional ordinary differential equations and evolution equations. It is …
[图书][B] Fractional-in-time semilinear parabolic equations and applications
This research monograph is motivated by problems in mathematical physics that involve
fractional kinetic equations. These equations describe transport dynamics in complex …
fractional kinetic equations. These equations describe transport dynamics in complex …
Existence and regularity results for terminal value problem for nonlinear fractional wave equations
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 …
problem, backward in time problem) of determining the initial value, in a general class of …
Well-posedness and regularity for fractional damped wave equations
Y Zhou, JW He - Monatshefte für Mathematik, 2021 - Springer
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 …
fractional damped wave equations, which the fractional derivatives in time are taken in the …
Nonconforming virtual element method for the time fractional reaction–subdiffusion equation with non-smooth data
M Li, J Zhao, C Huang, S Chen - Journal of Scientific Computing, 2019 - Springer
In this paper, we consider the nonconforming virtual element method (VEM) for the
approximation of the time fractional reaction–subdiffusion equation involving the Caputo …
approximation of the time fractional reaction–subdiffusion equation involving the Caputo …
[HTML][HTML] Fractional order continuity of a time semi-linear fractional diffusion-wave system
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 more detail, we study on the initial value problems for the time semi-linear fractional …
Cauchy problem for non-autonomous fractional evolution equations
JW He, Y Zhou - Fractional Calculus and Applied Analysis, 2022 - Springer
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 …
fractional evolution equation with Caputo's fractional derivative of order α∈(1, 2), which can …
[PDF][PDF] Continuity with respect to fractional order of the time fractional diffusion-wave equation
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 …
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
On existence and regularity of a terminal value problem for the time fractional diffusion equation
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Approximate controllability from the exterior of space-time fractional wave equations
C Louis-Rose, M Warma - Applied Mathematics & Optimization, 2021 - Springer
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 …
involving the Caputo time fractional derivative with the fractional Laplace operator subject to …