On right fractional calculus

Chaos, Solitons and Fractals

Volumn 42, Issue 1, 2009, Pages 365-376

  Anastassiou, George A ^a  

^a University of Memphis   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; DIFFERENTIATION (CALCULUS);

CAPUTO FRACTIONAL DERIVATIVES; FRACTIONAL DERIVATIVES; FRACTIONAL DIFFERENTIAL; FRACTIONAL INTEGRALS; MATHEMATICAL ANALYSIS; REPRESENTATION FORMULAE; RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES; RIEMANN-LIOUVILLE INTEGRAL;

CALCULATIONS;

EID: 67649574145     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.12.013     Document Type: Article

References (8)

1. Anastassiou G. Quantitative approximations (2001), Chapman & Hall/CRC, Boca Raton, New York
2. Canavati J.A. The Riemann-Liouville integral. Nieuw Archief Voor Wiskunde 5 1 (1987) 53-75
3. Kai Diethelm, Fractional differential equations. Available from: http://www.tu-bs.de/~diethelm/lehre/f-dgl02/fde-skript.ps.gz.
4. El-Sayed A.M.A., and Gaber M. On the finite Caputo and finite Riesz derivatives. Electron J Theor Phys 3 12 (2006) 81-95
5. Frederico G.S., and Torres D.F.M. Fractional optimal control in the sense of Caputo and the fractional Noether's theorem. Int Math Forum 3 10 (2008) 479-493
6. Gorenflo R, Mainardi F, Essentials of fractional calculus. Maphysto Center; 2000. Available from: http://www.maphysto.dk/oldpages/events/LevyCAC2000/MainardiNotes/fm2k0a.ps.
7. Miller K.S. The Weyl fractional calculus. In: Ross B. (Ed). Fractional calculus and its applications. Lecture Notes in Mathematics vol. 457 (1975), Springer-Verlag, Berlin, New-York 80-89
8. Samko S.G., Kilbas A.A., and Marichev O.I. Fractional integrals and derivatives, theory and applications (1993), Gordon and Breach, Amsterdam [English translation from the Russian, Integrals and Derivatives of Fractional Order and Some of Their Applications (Nauka i Tekhnika, Minsk, 1987)]