Initialization of fractional differential equations: Theory and application

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 1341-1347

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

^a NASA GLENN RESEARCH CENTER   (United States)

^b UNIVERSITY OF AKRON   (United States)

Author keywords

Fractional differential equations; Fractional operators; Initialization; Laplace transforms

Indexed keywords

(E ,2E) THEORY; (E ,3E) PROCESS; FRACTIONAL DERIVATIVES; FRACTIONAL DIFFERENTIAL EQUATIONS; FRACTIONAL INTEGRALS; FRACTIONAL OPERATORS; HIGHER ORDER; INTERNATIONAL CONFERENCES; INTERNATIONAL DESIGNS; MULTI-BODY SYSTEM (MBS); NON-LINEAR DYNAMICS; TECHNICAL CONFERENCES; TIME-VARYING FUNCTIONS;

ARCHITECTURAL DESIGN; BESSEL FUNCTIONS; COMPUTER CONTROL; COMPUTER NETWORKS; COMPUTERS; CONTROL SYSTEMS; DERIVATIVES; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); DYNAMICAL SYSTEMS; DYNAMICS; ENGINEERING; EXTRAPOLATION; FUNCTION EVALUATION; INFORMATION SYSTEMS; INTEGRAL EQUATIONS; MATHEMATICAL MORPHOLOGY; MATHEMATICAL TRANSFORMATIONS; MECHANICS; NONLINEAR PROGRAMMING; PAPER; TECHNOLOGY;

LAPLACE TRANSFORMS;

EID: 44849138178     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2007-34814     Document Type: Conference Paper

References (5)

1. Lorenzo, C. F. and Hartley, T. T., "Initialization of Fractional Differential Equations: Background and Theory" DETEC2007-34810 Proceedings of IDETC/CIE, 2007.
2. Lorenzo, C. F. and Hartley, T. T., "Initialization, Conceptualization, and Application in the Generalized Fractional Calculus," NASA TP-1998-208415, Dec. 1998.
3. Lorenzo, C. F. and Hartley, T. T., "Initialized Fractional Calculus," International Journal of Applied Mathematics, Vol.3, No. 3, September, 2000, pp.249-266.
4. Lorenzo, C. F. and Hartley, T. T., "Initialization in Fractional-Order Systems," European Control Conference, September 4-7, 2001, Porto, Portugal.
5. Spanier, J. and Oldham, K., An Atlas of Functions, Hemisphere Pub. Corp. New York & Springer-Verlag, London, ISBN 0-89116-573-8, 1987.