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 mailto [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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