APPLYING FRACTIONAL DERIVATIVE EQUATIONS TO THE MODELING OF SUBDIFFUSION PROCESS

摘要：

Subdiffusion is a fractional Brownian motion described by linear equation with fractional RiemannLiouville time derivative. We present the procedure of solving the subdiffusion equation for the system with infinitely thin membrane. The procedure exploits the Greens function and the boundary conditions at the membrane, which are taken in the general form as a linear combination of particles concentration and flux.

关键词： Fractional partial differential equations fractional processes.

作者: TADEUSZ KOSZTOLOWICZ KATARZYNA D. LEWANDOWSKA0

作者单位: Institute of Physics, Jan Kochanowski University, Kielce, POLAND Department of Radiological Informatics and Statistics, Medical University of Gda(n)sk, Gda(n)sk, POL

会议类型: 国际会议

会议名称: 第三届边值问题积分方程以及相关问题国际会议

会议地点: 保定

会议语种:英文

页码: 374-379

在线出版日期: 2010-08-22（万方平台首次上网日期，不代表论文的发表时间）