当前位置:
X-MOL 学术
›
Mathematics
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
On the Fractional Wave Equation
Mathematics ( IF 2.4 ) Pub Date : 2020-05-31 , DOI: 10.3390/math8060874 Francesco Iafrate , Enzo Orsingher
Mathematics ( IF 2.4 ) Pub Date : 2020-05-31 , DOI: 10.3390/math8060874 Francesco Iafrate , Enzo Orsingher
In this paper we study the time-fractional wave equation of order and give a probabilistic interpretation of its solution. In the case , , the solution can be interpreted as a time-changed Brownian motion, while for it coincides with the density of a symmetric stable process of order . We give here an interpretation of the fractional wave equation for in terms of laws of stable dimensional processes. We give a hint at the case of a fractional wave equation for and also at space-time fractional wave equations.
中文翻译:
关于分数波方程
在本文中,我们研究阶次的时分波方程 并给出其解决方案的概率解释。在这种情况下 , ,该解可以解释为时变布朗运动,而对于 它与阶对称稳定过程的密度一致 。我们在这里给出分数波方程的解释 就稳定定律而言 尺寸过程。我们给出了分数波方程的情况的提示 以及时空分数波方程。
更新日期:2020-05-31
中文翻译:
关于分数波方程
在本文中,我们研究阶次的时分波方程