| Reference : Shadows on the Walls: Geometric Interpretation of Fractional Integration |
| Scientific journals : Article | |||
| Physical, chemical, mathematical & earth Sciences : Mathematics | |||
| http://hdl.handle.net/10993/41243 | |||
| Shadows on the Walls: Geometric Interpretation of Fractional Integration | |
| English | |
| Podlubny, Igor [Technical University of Kosice > BERG Faculty] | |
Despotovic, Vladimir  [University of Belgrade > Technical Faculty in Bor] | |
| Skovranek, Tomas [Technical University of Kosice > BERG Faculty] | |
| McNaughton, Brandon [University of Michigan] | |
| Nov-2007 | |
| Journal of Online Mathematics and its Applications | |
| Mathematical Association of America | |
| 7 | |
| Article ID 1664 | |
| Yes | |
| International | |
| 1935-6439 | |
| USA | |
| [en] fractional calculus ; fractional integral ; geometric interpretation | |
| [en] In 2001/2002, Podlubny suggested a solution to the more than 300-years old problem of geometric interpretation of fractional integration (i.e., integration of an arbitrary real order). His geometric interpretation for left-sided and right-sided Riemann-Liouville fractional integrals, and for Riesz potential is given in terms of changing time scale with constant order of integration, and also in a case of varying order of integration with constant time parameter. In this article we present animations of such interpretation. | |
| http://hdl.handle.net/10993/41243 | |
| https://www.maa.org/press/periodicals/loci/joma/shadows-on-the-walls-geometric-interpretation-of-fractional-integration |
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