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 ![]() | |
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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