Fractional Sobolev-type inequalities

Applicable Analysis

Volumn 87, Issue 5, 2008, Pages 607-624

  Anastassiou, George A ^a  

^a University of Memphis   (United States)

Author keywords

26A33; 26D10; 26D15; Fractional derivative; Fractional inequality; Sobolev type inequality

Indexed keywords

EID: 84895321471     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036810802144097     Document Type: Article

References (8)

1. Evans, LC. 1998. “ Partial Differential Equations ”. In Graduate studies in Mathematics, Vol. 19, Providence, RI: American Mathematical Society.
2. Canavati, JA. 1987. The Riemann–Liouville integral. Nicuw Archief Voor Wiskunde, 5 (1): 53–75.
3. Anastassiou, G. 2001. Quantitative Approximations, Boca Raton, New York: Chapman & Hall/CRC.
4. Diethelm, K. Fractional Differential Equations. Available at: http://www.tu-bs.de/˜diethelm/lehre/f-dgl02/fde-skript.ps.gz
5. Anastassiou, G. 2007. Riemann–Liouville fractional multivariate Opial type inequalities on spherical shells, India: Bull. Allahabad Math. Soc. accepted for publication
6. Anastassiou, G, Koliha, J, and Pecaric, J. 2001. Opial inequalities for fractional derivatives. Dynam. Syst. Appl., 10 (3): 395–406.
7. Anastassiou, G. 2007. Fractional Poincaré Type Inequalities submitted, 2007
8. Anastassiou, G. Caputo fractional multivariate opial type inequalities on spherical shells. submitted, 2007