Anomalous diffusion in a half plane with continuous source and sink at each half of the boundary

• 作 者: Xicheng Li Wen Chen
• 机 构: DepartmentofMechanics,HohaiUniversity,No.1XikangRoad,Nanjing,JiangsuProvince,210098,China
• 出 处: The Third International Conference on Dynamics,Vibration and
• 发表日期: 2010年5期
• 关键词: anomalous diffusion nonlinear problem similarity solution Residue theorem H func

　　Anomalous diffusion refers to nonequilibrium processes that cannot be described by using standard methods of statistical physics[1].It usually expresses the characteristics of time inherit and space correlation.Fractional calculus has been widely used in describing of anomalous diffusion in the past decades due to its nonlocal propertiest2].Using continuous time random walk models and based on certain assumption, different models, e.g., the time fractional sub-diffusion equation and the space fractional supper-diffusion equation were constructed[3,4].