Multivariate fractional Taylor's formula revisited
DOI:
https://doi.org/10.5644/SJM.05.2.03Keywords:
Multivariate fractional Taylor formula, fractional derivative, Riemann-Liouville fractional integralAbstract
This is a continuation of [2]. Here is established a multivariate fractional Taylor's formula via the Caputo fractional derivative. The fractional remainder is expressed as a composition of two Riemann-Liouville fractional integrals.
2000 Mathematics Subject Classification. 26A33
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References
G. Anastassiou, Riemann-Liouville fractional multivariate Opial type inequalities on spherical shells, accepted for publication, Bull. Allahabad Math. Soc., India, 2007.
G. Anastassiou, Multivariate fractional Taylor’s formula, Commun. Appl. Anal., 11 (2) (2007), 189–199.
G. Anastassiou, Caputo fractional multivariate Opial type inequalities on spherical shells, submitted, 2007.
Kai Diethelm, Fractional differential equations, on line: http://www.tu-bs.de/diethelm/lehre/f-dgl02/fde-skript.ps.gz, 2003.
