Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation

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dc.creatorPodlubny, Igor
dc.date2001-10-22
dc.date.accessioned2026-07-07T04:44:00Z
dc.date.available2026-07-07T04:44:00Z
dc.descriptionA solution to the more than 300-years old problem of geometric and physical interpretation of fractional integration and differentiation (i.e., integration and differentiation of an arbitrary real order) is suggested for the Riemann-Liouville fractional integration and differentiation, the Caputo fractional differentiation, the Riesz potential, and the Feller potential. It is also generalized for giving a new geometric and physical interpretation of more general convolution integrals of the Volterra type. Besides this, a new physical interpretation is suggested for the Stieltjes integral.
dc.description18 pages, 7 figures, 1 table
dc.identifierhttps://arxiv.org/abs/math/0110241
dc.identifierhttp://arxiv.org/abs/math/0110241
dc.identifierPodlubny, I.: Geometric and physical interpretation of fractional integration and fractional differentiation. Fractional Calculus and Applied Analysis, vol. 5, no. 4, 2002, pp. 367--386.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62464
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.subject26A33 (Primary) 26A42, 83C99, 44A35, 45D05 (Secondary)
dc.titleGeometric and Physical Interpretation of Fractional Integration and Fractional Differentiation
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