A note on fractional derivatives and fractional powers of operators

Journal of Mathematical Analysis and Applications

Volumn 357, Issue 1, 2009, Pages 232-236

  Ashyralyev, A ^a  

^a FATIH UNIVERSITY   (Turkey)

Author keywords

Fractional derivatives; Fractional powers; Positive operators

Indexed keywords

EID: 67349239828     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2009.04.012     Document Type: Article

References (7)

1. Podlubny I. Fractional Differential Equations (1999), Academic Press, New York
2. Samko S.G., Kilbas A.A., and Marichev O.I. Fractional Integrals and Derivatives (1993), Gordon and Breach Science Publishers, London
3. Lavoie J.L., Osler T.J., and Tremblay R. Fractional derivatives and special functions. SIAM Rev. 18 2 (1976) 240-268
4. J. Munkhamar, Riemann-Liouville fractional derivatives and the Taylor-Riemann series, Uppsala University Department of Mathematics, Project Report, 7, 2004
5. Ashyralyev A., and Sobolevskii P.E. Well-Posedness of Parabolic Difference Equations (1994), Birkhäuser Verlag, Basel, Boston, Berlin
6. Krein S.G. Linear Differential Equations in Banach Space. Transl. Math. Monogr. vol. 29 (1971), Amer. Math. Soc.
7. Tarasov V.E. Fractional derivative as fractional power of derivative. Internat. J. Math. 18 (2007) 281-299