Discrete Fractional Diffusion Equation of Chaotic Order

作者:Wu, Guo-Cheng*; Baleanu, Dumitru*; Xie, He-Ping*; Zeng, Sheng-Da*
来源:International Journal of Bifurcation and Chaos, 2016, 26(1): 1650013.
DOI:10.1142/S0218127416500139

摘要

Discrete fractional calculus is suggested in diffusion modeling in porous media. A variable-order fractional diffusion equation is proposed on discrete time scales. A function of the variable order is constructed by a chaotic map. The model shows some new random behaviors in comparison with other variable-order cases.