$\ell_{p}$型分式序列集上紧算子的刻画

关于具有有限分布分数周长的集合

On sets with finite distributional fractional perimeter

本文研究局部有限分布分数周长集合的精细性质，改进其爆破刻画，证明其与有限分数周长集合相交的Leibniz法则，并描述相关非局部边界。

The noncommutative fractional Fourier law in bounded and unbounded domains

Using the spectral theory on the $S$-spectrum it is possible to define the fractional powers of a large class of vector operators. This possibility leads to new fractional diffusion and evolution problems that are of particular interest for nonhomogeneous materials where the Fourier law is not simply the negative gradient operator but it is a nonconstant coefficients differential operator of the form $$ T=\sum_{\ell=1}^3e_\ell a_\ell(x)\partial_{x_\ell}, \ \ \ x=(x_1,x_2,x_3)\in \barΩ, $$ where, $Ω$ can be either a bounded or an unbounded domain in $\mathbb{R}^3$ whose boundary $\partialΩ$ is …

分数阶差分序列集上的紧算子

Compact operators on the sets of fractional difference sequences

分数差分数列空间是近年来研究较多的一类空间。本文建立了分数阶差分数列空间上某些算子的非紧性的算子范数和Hausdorff测度的恒等式或估计式。刻画了这些空间上的几类紧算子。这项工作的结果是更普遍和全面的，然后在文献中的许多其他研究。

Fractional difference sequence spaces via Pascal mean

The main purpose of this article is to introduce Pascal difference sequence spaces of fractional order $ τ$ over the sequence space $\ell_p$ and $\ell_\infty$. Some topological properties of these spaces are considered here along with the Schauder basis, $α -,β-$ and $γ-$duals of the spaces.

一些q-分数阶差分序列空间

Some q-fractional order difference sequence spaces

本文研究了q-分数阶差分算子及其生成的序列空间，探讨了其性质、对偶空间及矩阵类刻画。

分数阶椭圆问题的Liouville型定理

Liouville type theorems for fractional elliptic problems

本文建立了分数阶椭圆型方程$$(-Δ)^su=f(u)$$在整个$\mathbb R^N$空间上稳定解的Liouville型定理，其中非线性项是非减凸的.我们还得到了分数阶Lane-Emden系统$$\begin{cases} (-Δ)^s u = v^p \mbox{ in }\mathbb R^N (-Δ)^s v = u^q \mbox{ in }\mathbb R^N \end{cases}$$与$p>1$和$ q>1$的稳定解的分类.据我们所知，这是文献中第一个对分数阶Lane-Emden系统的稳定解进行分类的结果。