Hilbert-Pachpatte type fractional integral inequalities

Mathematical and Computer Modelling

Volumn 49, Issue 7-8, 2009, Pages 1539-1550

  Anastassiou, George A ^a  

^a University of Memphis   (United States)

Author keywords

Caputo fractional derivative; Fractional partial derivatives; Riemann Liouville fractional derivative; Univariate and multivariate Hilbert inequality; Univariate and multivariate Hilbert Pachpatte inequality

Indexed keywords

CAPUTO FRACTIONAL DERIVATIVE; FRACTIONAL PARTIAL DERIVATIVES; RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE; UNIVARIATE AND MULTIVARIATE HILBERT INEQUALITY; UNIVARIATE AND MULTIVARIATE HILBERT-PACHPATTE INEQUALITY;

DERIVATIVES;

EID: 60949092109     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2008.05.059     Document Type: Article

References (12)

1. Hardy G.H., Littlewood J.E., and Polya G. Inequalities (1934), Cambridge Univ. Press, Cambridge, UK
2. Pachpatte B.G. Inequalities similar to the integral analogue of Hilbert's inequalities. Tamkang Journal of Mathematics 30 1 (1999) 139-146
3. Dragomir S.S., and Kim Y.-H. Hilbert-Pachpatte type integral inequalities and their improvement. Journal of Inequalities in Pure and Applied Mathematics 4 1 (2003). http://jipam.vu.edu.au/ Article 16.
4. Handley G.D., Koliha J.J., and Pecaric J. Hilbert-Pachpatte type integral inequalities for fractional derivatives. Fractional Calculus & Applied Analysis 4 1 (2001) 37-46
5. Handley G.D., Koliha J.J., and Pecaric J. New Hilbert-Pachpatte type integral inequalities. Journal of Mathematical Analysis and Applications 257 (2001) 238-250
6. Pachpatte B.G. On two new multidimensional integral inequalities of the Hilbert type. Tamkang Journal of Mathematics 31 (2000) 123-129
7. Kai DietheIm, Fractional differential equations. On line: http://www.tu-bs.de/~diethelm/lehre/f-dgl02/fde-skript.ps.gz
8. G. Anastassiou, Fractional Poincaré type inequalities, Indian Journal of Mathematics (2008) (in press)
9. G. Anastassiou, Caputo fractional multivariate opial type inequalities on spherical shells, in: George Anastassiou (Ed.), The Proceedings of "AMAT 2008", an International Conference in "Applied Mathematics and Approximation Theory", University of Memphis, Memphis, USA, October 11-13, 2008, Eudoxus Press (in press)
10. Anastassiou G. Hilbert-Pachpatte type general integral inequalities. Applicable Analysis 86 8 (2007) 945-961
11. Anastassiou G. Hilbert-Pachpatte type general multivariate integral inequalities. International Journal of Applied Mathematics 20 4 (2007) 549-573
12. Aliprantis C., and Burkinshaw O. Principles of Real Analysis. 3rd ed. (1998), Academic Press, San Diego, New York