Initialization in fractional order systems

2001 European Control Conference, ECC 2001

Volumn , Issue , 2001, Pages 1471-1476

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

^a NASA GLENN RESEARCH CENTER   (United States)

^b The University of Akron   (United States)

Author keywords

Fractional Differential Equation; Initialized Fractional Calculus; Laplace transforms; R Function

Indexed keywords

CALCULATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS);

FRACTIONAL CALCULUS; FRACTIONAL DIFFERENTIAL EQUATIONS; FRACTIONAL SYSTEMS; FRACTIONAL-ORDER SYSTEMS; NEW FORMS; R-FUNCTIONS; TIME VARYING;

LAPLACE TRANSFORMS;

EID: 84947461279     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2001.7076126     Document Type: Conference Paper

References (9)

1. C. F. Lorenzo, and T. T. Hartley, "Initialized Fractional Calculus," Int. Jour. Applied Math. Vol. 3, No. 3 p 249-265, (2000)
2. K. S. Miller and B. Ross, "An Introduction to the Fractional Calculus and Fractional Differential Equations," John Wiley & Sons, Inc., (1993)
3. B. Ross, "The Development, Theory, and Applications of the Gamma-Function and a Profile of Fractional Calculus," Phd. Dissertation New York Univ., S94-10032, (1974)
4. B. Ross, "A Brief History and Exposition of the Fundamental Theory of Fractional Calculus" in "Fractional Calculus and Its Applications", Springer-Verlag, June, (1974)
5. K. B. Oldham, and J. Spanier, "The Fractional Calculus,"-Academic Press, Inc. (1974)
6. I. Podlubny, "Fractional Differential Equations," Academic Press, San Diego, (1999)
7. C. F. Lorenzo, and T. T. Hartley, "Initialization Conceptualization, and Application in the Generalized Fractional Calculus," NASA TP-1998-208415, (1998)
8. C. F. Lorenzo, and T. T. Hartley, "Generalized Functions for the Fractional Calculus," NASA TP-209424/REV1, Oct, (1999)
9. T. T. Hartley and C. F. Lorenzo, "The Vector Linear Fractional Initialization Problem," NASA/TP-1999-208919, May (1999)