타이틀 |
Initialized Fractional Calculus |
저자 |
Carl F. Lorenzo and Tom T. Hartley |
Keyword |
Fractional calculus; Fractional differential equations; Initialization; Laplace transform |
URL |
http://gltrs.grc.nasa.gov/reports/2000/TP-2000-209943.pdf |
보고서번호 |
NASA TP-2000-209943 |
발행년도 |
2000 |
출처 |
NASA Glenn Research Center |
ABSTRACT |
This paper demonstrates the need for a nonconstant initialization for the fractional calculus and establishes a basic definition set for the initialized fractional differintegral. This definition set allows the formalization of an initialized fractional calculus. Two basis calculi are considered; the Riemann-Liouville and the Gr?wald fractional calculi. Two forms of initialization, terminal and side are developed. |