Article ID Journal Published Year Pages File Type
4638919 Journal of Computational and Applied Mathematics 2014 6 Pages PDF
Abstract

We give a new definition of fractional derivative and fractional integral. The form of the definition shows that it is the most natural definition, and the most fruitful one. The definition for 0≤α<10≤α<1 coincides with the classical definitions on polynomials (up to a constant). Further, if α=1α=1, the definition coincides with the classical definition of first derivative. We give some applications to fractional differential equations.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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