Abstract
Fractional central differences and derivatives are proposed in this paper. The positive even and odd integer orders differences and derivatives are generalised to real orders, obtaining two new different types of differences and derivatives. For each type, suitable integral formulation is obtained. Their computations of the integrals lead to generalisations of the well known Riesz potentials. A study for coherence is done by applying the definitions to functions with Fourier transform.
| Original language | English |
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| Title of host publication | 2nd IFAC Workshop on Fractional Differentiation and its Applications, FDA 2006 - Final Program |
| Pages | 58-63 |
| Number of pages | 6 |
| Volume | 2 |
| Edition | PART 1 |
| Publication status | Published - 2006 |
| Event | 2nd IFAC Workshop on Fractional Differentiation and its Applications, FDA 2006 - Porto, Portugal Duration: 19 Jul 2006 → 21 Jul 2006 |
Conference
| Conference | 2nd IFAC Workshop on Fractional Differentiation and its Applications, FDA 2006 |
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| Country/Territory | Portugal |
| City | Porto |
| Period | 19/07/06 → 21/07/06 |
Keywords
- Fractional central derivative
- Fractional central difference
- Generalized Cauchy derivative
- Grünwald-Letnikov