Insights into the fractional order initial value problem via semi-infinite systems.
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.
Hartley
Tom T
TT
Department of Electrical and Computer Engineering, University of Akron, Akron, Ohio, USA. thartley@uakron.edu
Lorenzo
Carl F
CF
D000465:Algorithms; D001703:Biophysics / Q000379:methods*; D003198:Computer Simulation; D008433:Mathematics; D008954:Models, Biological