TY - JOUR
T1 - Shadows on the walls
T2 - Geometric interpretation of fractional integration
AU - Podlubny, Igor
AU - Despotovic, Vladimir
AU - Skovranek, Tomas
AU - McNaughton, Brandon H.
PY - 2007/11
Y1 - 2007/11
N2 - 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.
AB - 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.
KW - Fractional calculus
KW - Fractional integral
KW - Geometric interpretation
UR - http://www.scopus.com/inward/record.url?scp=37449027373&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:37449027373
SN - 1935-6439
JO - Journal of Online Mathematics and its Applications
JF - Journal of Online Mathematics and its Applications
ER -