Integrals and derivatives on net fractals
作者： Fu-Yao Ren , Jin-Rong Liang , Xiao-Tian Wang , Wei-Yuan Qiu
DOI: 10.1016/S0960-0779(02)00211-4
关键词:
摘要: Abstract In this paper a framework of calculus on net fractals is built. Integrals and derivatives functions in measure are discussed. Approximate calculations the integrals approximate solutions to inverse problem given. addition, applications some physical systems, such as diffusion processes memory
harvard.edu
elsevier.com
sci-hub.se 参考文章(11)
K. J. Falconer, Techniques in fractal geometry ,(1997)
Oleg Igorevich Marichev, Stefan G Samko, Anatoly A Kilbas, Fractional Integrals and Derivatives: Theory and Applications ,(1993)
Wei-Yuan Qiu, Jing Lü, Fractional integrals and fractal structure of memory sets Physics Letters A. ,vol. 272, pp. 353- 358 ,(2000) , 10.1016/S0375-9601(00)00448-5
Fu-Yao Ren, Xiao-Tian Wang, Jin-Rong Liang, Determination of diffusion kernel on fractals Journal of Physics A. ,vol. 34, pp. 9815- 9825 ,(2001) , 10.1088/0305-4470/34/46/305
Massimiliano Giona, H. Eduardo Roman, Fractional diffusion equation for transport phenomena in random media Physica A-statistical Mechanics and Its Applications. ,vol. 185, pp. 87- 97 ,(1992) , 10.1016/0378-4371(92)90441-R
Fu-Yao Ren, Zu-Guo Yu, Feng Su, FRACTIONAL INTEGRAL ASSOCIATED TO THE SELF-SIMILAR SET OR THE GENERALIZED SELF-SIMILAR SET AND ITS PHYSICAL INTERPRETATION Physics Letters A. ,vol. 219, pp. 59- 68 ,(1996) , 10.1016/0375-9601(96)00418-5
Fu-yao Ren, Jin-rong Liang, Xiao-Tian Wang, The determination of the diffusion kernel on fractals and fractional diffusion equation for transport phenomena in random media Physics Letters A. ,vol. 252, pp. 141- 150 ,(1999) , 10.1016/S0375-9601(98)00920-7
Zu-Guo Yu, Fu-Yao Ren, Ji Zhou, Fractional integral associated to generalized cookie-cutter set and its physical interpretation Journal of Physics A. ,vol. 30, pp. 5569- 5577 ,(1997) , 10.1088/0305-4470/30/15/036
Fu-Yao Ren, Wei-Yuan Qiu, Jin-Rong Liang, Xiao-Tian Wang, Determination of memory function and flux on fractals Physics Letters A. ,vol. 288, pp. 79- 87 ,(2001) , 10.1016/S0375-9601(01)00544-8
Qiuping A. Wang, Incomplete statistics: nonextensive generalizations of statistical mechanics Chaos Solitons & Fractals. ,vol. 12, pp. 1431- 1437 ,(2001) , 10.1016/S0960-0779(00)00113-2