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Initialized Fractional CalculusThis 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 Grunwald fractional calculi. Two forms of initialization, terminal and side are developed.
Document ID
20000031631
Acquisition Source
Glenn Research Center
Document Type
Technical Publication (TP)
Authors
Lorenzo, Carl F.
(NASA Glenn Research Center Cleveland, OH United States)
Hartley, Tom T.
(Akron Univ. Akron, OH United States)
Date Acquired
September 7, 2013
Publication Date
February 1, 2000
Subject Category
Theoretical Mathematics
Report/Patent Number
NAS 1.60:209943
E-12101
NASA/TP-2000-209943
Report Number: NAS 1.60:209943
Report Number: E-12101
Report Number: NASA/TP-2000-209943
Funding Number(s)
PROJECT: RTOP 519-30-53
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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