| Title | MULTIVARIATE FRACTIONAL TAYLOR’S FORMULA |
| Publication Type | Journal Article |
| Year of Publication | 2007 |
| Authors | Anastassiou, GA |
| Secondary Title | Communications in Applied Analysis |
| Volume | 11 |
| Issue | 2 |
| Start Page | 189 |
| Pagination | 199 |
| Date Published | 04/2007 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 26A33 |
| Abstract | Here is established a multivariate fractional Taylor’s formula using a suitable definition of fractional derivative. As related results we present that the order of fractional-ordinary partial differentiation is immaterial, we discuss fractional integration by parts, and we estimate the remainder of our multivariate fractional Taylor’s formula.
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| URL | http://www.acadsol.eu/en/articles/11/2/4.pdf |
| Short Title | Multivariate Fractional Taylor’s Formula |
| Refereed Designation | Refereed |
| Full Text | References[1] G.A. Anastassiou, Opial type inequalities involving fractional derivatives of functions, Nonlinear Studies, 6 (1999), no. 2, 207-230.
[2] G.A. Anastassiou, Quantitative Approximations, Chapman and Hall/CRC, Boca Raton, New York, 2001. [3] H. Bauer, Maβ-und Integrations-Theorie, de Gruyter, Berlin, 1990. [4] J.A. Canavati, The Riemann-Liouville integral, Nieuw Archief Voor Wiskunde, 5 (1987), no. 1, 53-75. [5] K. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley and Sons, Inc., New York, 1993. |