The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

Algebraic Approach to the Fractional Derivatives


Kostadin Trenčevski and ivorad Tomovski

Institute of Mathematics,
St. Cyril and Methodius University,
P.O. Box 162, 1000 Skopje,



In this paper we introduce an alternative definition of the fractional derivatives and also a characteristic class of so called ideal functions, which admit arbitrary fractional derivatives (also integrals). Further some ideal functions are found, which lead to representations of the Bernoulli and Euler numbers Bk and Ek for any real number k, via fractional derivatives of some functions at x=0.

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