Initialization issues of the caputo fractional derivative

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005

Volumn 6 B, Issue , 2005, Pages 1449-1456

  Achar, B N Narahari ^a   Lorenzo, Carl F ^b   Hartley, Tom T ^c  

^a UNIVERSITY OF MEMPHIS   (United States)

^b NASA GLENN RESEARCH CENTER   (United States)

^c UNIVERSITY OF AKRON   (United States)

Author keywords

Caputo Fractional Derivatives; Initialization Issues

Indexed keywords

CAPUTO FRACTIONAL DERIVATIVES; INITIALIZATION ISSUES;

DIFFERENTIAL EQUATIONS; FUNCTIONS;

COMPUTER SYSTEMS;

EID: 33244491922     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

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2. Lorenzo, C. F., and Hartley, T. T., 2001, "Initialization in Fractional Order Systems", Proceedings of the European Control Conference, pp 1471-1476.
3. Oldham, K. B., and Spanier, J., 1974, The Fractional Calculus- Theory and Applications of Differentiation and Integration to Arbitrary Order, 111, Mathematics in Science and Engineering, Academic Press, Inc., New York, ISBN 0-12-525550-0.
4. Miller, K. S., and Ross, B., 1993, An Introduction to the Fractional Calculus and Fractional Differential Equations. John Wiley and Sons, New York ISBN 0-471-58884-9
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7. Lorenzo, C. F., and Hartley, T. T., 1998, "Initialization, Conceptualization, and Application in the Generalized Fractional Calculus", NASA TM-1998-208407
8. Caputo, M., 1969, Elasticita e Dissipazione, Zanichelli, Bologna, 1969.
9. Caputo, M., 1967,"Linear Model of dissipation whose Q is almost frequency independent-II," Geophysical J. of the Royal Astronomical Society, 13, pp 529-539.
10. Gorenflo, R., and Mainardi, F., 1997,"Fractional calculus, integral and differential equations of fractional order" in Fractals and Fractional Calculus in Continuum Mechanics, Carpenteri, A.,and Mainardi, F., (Eds.), Springer, New York, NY ISBN 3-211-82913-X.
11. Achar, B. N. N., Lorenzo, C. F., and Hartley, T., 2003, "Initialization and the Caputo Fractional Derivative", NASA TM-2003-212482
12. Mainardi, F and Gorenflo, R., 2000, "On Mittag Leffler -type functions in fractional evolution processes", J. Comp. and Applied Math, 118, pp.283-299.