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Memory Function and Fractional Intergral Associated to the Random Self-similar Fractal 被引量:1

Memory Function and Fractional Intergral Associated to the Random Self-similar Fractal
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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. 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. .
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第2期186-191,共6页 数学季刊(英文版)
关键词 记忆函数 分数次积分 随机自相似分形 物理系统 期望 CANTOR集 记忆测度 LAPLACE变换 通量 random self-similar fractals memory functions memory measures Laplace transform
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参考文献8

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同被引文献4

  • 1Graf S.Statistically self-similar fractals[J].Probab Th Rel Fields,1987,74:375-392.
  • 2Olsen L. Random geometrically graph directed self-similar multifractals[J].Pitman research Notes in Math Series,307,Longman, Harlow, 1994.
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