一类新的分式更新过程

摘要：

分数更新过程作为泊松过程的推广已有文献报道。通过引入广义密度函数的概念，在$α$ -分式空间中构造了新的分式更新过程，并证明了它是泊松过程的又一有趣而有用的推广.

英文摘要：

Fractional renewal processes as a generalization of Poisson process are already in the literature. In this paper, by introducing a new concept of generalized density function, the authors construct new fractional renewal processes in the $α$-fractional space and show that it is another interesting and useful generalization of Poisson process.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。