A generalization of Duhamel's principle for differential equations of fractional order

Doklady Mathematics

Volumn 75, Issue 1, 2007, Pages 94-96

  Umarov, S R ^a   Saidamatov, E M ^a  

^a NATIONAL UNIVERSITY OF UZBEKISTAN   (Uzbekistan)

Author keywords

[No Author keywords available]

Indexed keywords

GREEN'S FUNCTION; INTEGRAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION; PROBLEM SOLVING;

CAUCHY PROBLEM; DUHAMEL'S PRINCIPLE; FRACTIONAL ORDER; INTEGRAL TRANSFORMATIONS;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 33947374025     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1064562407010267     Document Type: Article

References (11)

1. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics (Nauka, Moscow, 1966) [in Russian].
2. E. Bashlekova, Fract. Calculus Appl. Anal. 1, 255-270 (1998).
3. I. Podlubny, Fractional Differential Equations (Academic, San Diego, CA, 1999).
4. V. Anh and R. McVinish, J. Appl. Math. Stochastic Anal. 16 (2), 97-117 (2003).
5. R. Gorenflo and F. Mainardi, in Fractals and Fractional Calculus in Continuum Mechanics (Udine, 1996) (Springer, Vienna, 1997), 223-276.
6. R. Gorenflo, Yu. Luchko, and S. Umarov, Fract. Calculus Appl. Anal. 3 (3), 249-277 (2000).
7. R. Metzler and J. Klafter, Phys. Rep. 339 (1), 1-77 (2000).
8. G. Zaslavsky, Phys. Rep. 371, 461-580 (2002).
9. M. Caputo, Geophys. J. R. Astron. Soc. 13, 529-539 (1967).
10. M. Dzhrbashyan, Integral Transformations and Function Representations on the Complex Domain (Nauka, Moscow, 1966) [in Russian].
11. S. Samko, A. Kilbas, and O. Marichev, Integrals and Derivatives of Fractional Order and Some Applications (Nauka i Tekhnika, Minsk, 1987) [in Russian].