국내 최대 기계 및 로봇 연구정보

기술보고서

기술보고서 게시판 내용
타이틀	A Solution to the Fundamental Linear Fractional Order Differential Equation
저자	Tom T. Hartley and Carl F. Lorenzo
Keyword	Fractional calculus; Eigenfunction; Systems; Fractional differential equations
URL	http://gltrs.grc.nasa.gov/reports/1998/TP-1998-208693.pdf
보고서번호	NASA TP-1998-208693
발행년도	1998
출처	NASA Glenn Research Center
ABSTRACT	This paper provides a solution to the fundamental linear fractional order differential equation, namely, The impulse response solution is shown to be a series, named the F-function, which generalizes the normal exponential function. The F-function provides the basis for a qth order "fractional pole". Complex plane behavior is elucidated and a simple example, the inductor terminated semi-infinite lossy line, is used to demonstrate the theory.