Nonlinear differential equations of fractional order in the space of integrable functions

Doklady Mathematics

Volumn 62, Issue 2, 2000, Pages 222-226

  Kilbas, A A ^a   Bonilla, B ^b   Trujillo, J ^b  

^a Mechanics and Mathematics Faculty ^*  (Belarus)

^b UNIVERSIDAD DE LA LAGUNA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039014069     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. Samko, S.G., Kilbas, A.A., and Marichev, O.I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya (Integrals and Derivatives of Fractional Order and Some Their Applications), Minsk, 1987.
2. Oldham, K.B. and Spanier, J., The Fractional Calculus, New York, 1974.
3. Gorenflo, R. and Mainardi, F., Fractal and Fractional Calculus in Continuum Mechanics (Udine, 1996), CISM Courses and Lectures, vol. 378, Vienna, 1997, pp. 223-276.
4. Podlubny, I., Math. Sci. Eng., vol. 198, San Diego, 1999.
5. Pitcher, E. and Sewell, W.E., Bull. Am. Math. Soc., 1938, vol. 44, no. 2, pp. 100-107; Errata, Bull. Am. Math. Soc., 1938, vol. 44, no. 12, p. 888.
6. Al-Bassam, M.A., J. Reine Angew. Math., 1965, vol. 218, pp. 70-78.
7. Leskovskii, I.P., Differ. Uravn., 1977, vol. 13, no. 1, pp. 170-173.
8. Arora, H.L. and Alshamani, J.G., Indian J. Pure Appl. Math., 1980, vol. 11, no. 3, pp. 307-313.
9. El-Sayed, A.M.A., Appl. Math. Comput., 1992, vol. 49, no. 2/3, pp. 205-213.
10. Al-Abedeen, A.Z. and Arora, H.L., Can. Math. Bull., 1978, vol. 21, no. 3, pp. 267-271.
11. Tazali, A.Z.-A.M., Lect. Notes Math., 1982, vol. 964, pp. 652-665.
12. Semenchuk, N.P., Differ. Uravn., vol. 18, no. 10, pp. 1831-1833.
13. Luszczki, Z. and Rzepecki, B., Demostratio Math., 1987, vol. 20, no. 3/4, pp. 471-475.
14. Delbosco, D. and Rodino, L., J. Math. Anal. Appl., 1996, vol. 204, no. 2, pp. 609-625.
15. Barrett, J.H., Can. J. Math., 1954, vol. 6, no. 4, pp. 529-541.