Hartley Tom T, Lorenzo Carl F
Department of Electrical and Computer Engineering, University of Akron, Akron, Ohio, USA.
Crit Rev Biomed Eng. 2008;36(1):1-21. doi: 10.1615/critrevbiomedeng.v36.i1.20.
This paper considers various aspects of the initial value problem for fractional order differential equations. The main contribution of this paper is to use the solutions to known spatially distributed systems to demonstrate that fractional differintegral operators require an initial condition term that is time-varying due to past distributed storage of information.
本文考虑了分数阶微分方程初值问题的各个方面。本文的主要贡献在于利用已知空间分布系统的解来证明,由于过去信息的分布式存储,分数阶积分微分算子需要一个时变的初始条件项。