8 citations · 10 across the 5 of their papers we have counts for
6 papers
Dispersive estimates for time and space fractional Schrödinger equations
Xiaoyan Su, Shiliang Zhao, Miao Li
In this paper, we consider the Cauchy problem for the fractional Schrödinger equation with , . We establish the dispersive estimates…
Local well-posedness of semilinear space-time fractional Schrödinger equation
Xiaoyan Su, Shiliang Zhao, Miao Li
The semilinear space-time fractional Schrödinger equation is considered. First, we give the explicit form for the fundamental solutions by using the Fox -functions in order to t…
Inverses of generators of integrated fractional resolvent operator functions
Miao Li, Javier Pastor, Sergey Piskarev
This paper is devoted to the inverse generator problem in the setting of generators of integrated resolvent operator functions. It is shown that if the operator is the generato…
The fractional d'Alembert's formulas
Cheng-Gang Li, Miao Li, Sergey Piskarev +1
In this paper we develop generalized d'Alembert's formulas for abstract fractional integro-differential equations and fractional differential equations on Banach spaces. Some examp…
On maximal regularity and semivariation of -times resolvent families
Fu-Bo Li, Miao Li
Let and be the generator of an -times resolvent family on a Banach space . It is shown that the fractional Cauchy problem ${\bf D}_t^αu(t)…
On fractional powers of generators of fractional resolvent families
Miao Li, Chuang Chen, Fu-Bo Li
We show that if generates a bounded -times resolvent family for some , then generates an analytic -times resolvent family for $β\in(0,\frac{2π-πγ}{2π-…