Application of incomplete gamma functions to the initialization of fractional-order systems

2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007

Volumn 5 PART B, Issue , 2008, Pages 1431-1437

  Hartley, Tom T ^a   Lorenzo, Carl F ^b  

^a UNIVERSITY OF AKRON   (United States)

^b NASA GLENN RESEARCH CENTER   (United States)

Author keywords

Fractional order system initialization; Gamma function

Indexed keywords

DESIGN; DYNAMICS;

FRACTIONAL-ORDER SYSTEM INITIALIZATION; FRACTIONAL-ORDER SYSTEMS; GAMMA FUNCTION; INCOMPLETE GAMMA FUNCTIONS; INITIALIZATION PROBLEM; PROPERTY;

ALGEBRA;

EID: 44849097150     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/1.2833480     Document Type: Conference Paper

References (4)

1. Jerome Spanier and Keith B. Oldham, An Atlas of Functions, Hemisphere Publishing Corporation, New York, 1987.
2. G. E. Roberts and H. Kaufman, Table of Laplace Transforms, W.B. Saunders Co., 1966.
3. Carl F. Lorenzo and Tom T. Hartley, "Initialization of Fractional Differential Equations: Background and Theory," DETC2007-34810, Proceedings of IDETC/CIE 2007, ASME 2007 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference September 4-7, 2007a, Las Vegas, Nevada, USA.
4. Carl F. Lorenzo and Tom T. Hartley, "Initialization of Fractional Differential Equations: Theory and Application," DETC2007-34814, Proceedings of IDETC/CIE 2007, ASME 2007 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference September 4-7, 2007b, Las Vegas, Nevada, USA.