Wu, Guo-ChengBaleanu, DumitruBaleanu, DumitruZeng, Sheng-DaDeng, Zhen-Guo2017-03-292017-03-292015Wu, G.C...et al. (2015). Discrete fractional diffusion equation. Nonlinear Dynamics, 80(1-2), 281-286. http://dx.doi.org/ 10.1007/s11071-014-1867-20924-090X1573-269Xhttps://doi.org/10.1007/s11071-014-1867-2Zeng, Shengda/0000-0003-1818-842X; Wu, Guo-Cheng/0000-0002-1946-6770The tool of the discrete fractional calculus is introduced to discrete modeling of diffusion problem. A fractional time discretization diffusion model is presented in the Caputo-like delta's sense. The numerical formula is given in form of the equivalent summation. Then, the diffusion concentration is discussed for various fractional difference orders. The discrete fractional model is a fractionization of the classical difference equation and can be more suitable to depict the random or discrete phenomena compared with fractional partial differential equations.eninfo:eu-repo/semantics/closedAccessDiscrete Fractional CalculusDiscrete Anomalous DiffusionDiscrete Fractional Partial Difference EquationsArticle801-228128610.1007/s11071-014-1867-22-s2.0-84925507033WOS:000352695100022Q1Q1