相应于随机自相似分形的记忆函数和分数次积分
梁洪亮;刘孝书
【期刊名称】《数学季刊（英文版）》 【年(卷),期】2003(018)002
【摘要】For a physics system which exhibits memory, if memory is preserved only at points of random self-similar fractals, we define random memory functions and give the connection between the expectation of flux and the fractional integral. In particular, when memory sets degenerate to Cantor type fractals or non-random self-similar fractals our results coincide with that of Nigmatullin and Ren et al..
【总页数】6页(186-191)
【关键词】random self-similar fractals;memory functions;memory measures;Laplace transform 【作者】梁洪亮;刘孝书
【作者单位】Department of Mathematics, Shangqiu Teacher's College, Shangqiu 476000, China;Department of Mathematics, Shangqiu Teacher's College, Shangqiu 476000, China 【正文语种】中文 【中图分类】O241 【相关文献】
1.相伴于随机自相似分形的随机测度的强测度的收敛性 [J], 梁洪亮; 焦美芝
相应于随机自相似分形的记忆函数和分数次积分
