The Cauchy problem for differential equations with fractional Caputo derivative

Doklady Mathematics

Volumn 70, Issue 3, 2004, Pages 841-845

  Kilbas, A A ^a   Marzan, S A ^b  

^a BELARUSIAN STATE UNIVERSITY   (Belarus)

^b Brest State University   (Belarus)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 11344261830     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integrals and Derivatives and Some Applications (Nauka i Tekhnika, Minsk, 1987) [in Russian].
2. M. Caputo, Geophys. J. Roy. Astron. Soc. 13, 529-539 (1967).
3. M. Caputo, Elasticita e Dissipatione (Zanichelli, Bologna, 1969).
4. M. Caputo and F. Mainardi, Riv. Nuovo Cim. 1, 161-196 (1971).
5. F. Mainardi, in Fractals and Fractional Calculus in Continuum Mechanics (Springer, Vienna, 1997), pp. 291-348.
6. R. Gorenflo and F. Mainardi, in Fractals and Fractional Calculus in Continuum Mechanics (Springer, Vienna, 1997), pp. 223-276.
7. I. Padlulny, Fractional Differential Equations (Academic, San Diego, 1999).
8. A. A. Kilbas and J. J. Trujillo, Appl. Anal. 78 (1), 153-192 (2001).
9. K. B. Oldham and J. Spanier, The Fractional Calculus (Academic, New York, 1974).
10. A. M. Samoilenko, S. A. Krivosheya, and N. A. Perestyuk, Differential Equations. Examples and Problems (Vysshaya Shkola, Moscow, 1989) [in Russian].
11. A. A. Kilbas, B. Bonilla, and J. Trujillo, Dokl. Nats. Akad. Nauk Belarusi 44 (6), 18-22 (2000).
12. A. N. Kolmogorov and S. V. Fomin, Elements of Function Theory and Functional Analysis (Nauka, Moscow, 1981) [in Russian].