Fractional opial inequalities for several functions with applications

Journal of Computational Analysis and Applications

Volumn 7, Issue 3, 2005, Pages 233-259

  Anastassiou, George A ^a  

^a University of Memphis   (United States)

Author keywords

Fractional derivative; Opial type inequality; System of fractional differential equations; Uniqueness of solution; Upper bound of solution

Indexed keywords

EID: 33748653403     PISSN: 15211398     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. R.P. Agarwal, Sharp Opial-type inequalities involving r-derivatives and their applications, Tôhoku Math. J. 47 (1995), 567-593.
2. R.P. Agarwal and P.Y.H. Pang, Sharp Opial-type inequalities involving higher order derivatives of two functions, Math. Nachr. 174 (1995), 5-20.
3. R.P. Agarwal and P.Y.H. Pang, Opial Inequalities with Applications in Differential and Difference Equations, Kluwer Academic Publishers, Dordrecht, Boston, London, 1995.
4. G.A. Anastassiou, General fractional Opial type inequalities, Acta Applicandae Mathematicae 54 (1998), 303-317.
5. G.A. Anastassiou, Opial type inqualities involving fractional derivatives of functions, Nonlinear Studies 6, No. 2 (1999), 207-230.
6. G.A. Anastassiou, Opial type inequalities involving fractional derivatives of two functions and applications, accepted in Computers and Mathematics with Appl., 2003.
7. G.A. Anastassiou and J.A. Goldstein, Fractional Opial type inequalities and fractional differential equations, Result, Math. 41 (2002), 197-212.
8. J.A. Canavati, The Riemann-Liouville integral, Nieuw Archief Voor Wiskunde 5, No. 1 (1987), 53-75.
9. R. Hilfer (editor), Applications of Fractional Calculus in Physics, Volume published by World Scientific, Singapore, 2000.
10. Z. Opial, Sur une inégalité, Ann. Polon. Math. 8 (1960), 29-32.
11. Igor Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.