Shadows on the walls: Geometric interpretation of fractional integration

Journal of Online Mathematics and its Applications

Volumn , Issue , 2007, Pages

  Podlubny, Igor ^a   Despotovic, Vladimir ^b   Skovranek, Tomas ^a   McNaughton, Brandon H ^c  

^a TECHNICAL UNIVERSITY OF KO ICE   (Slovakia)

^b UNIVERSITY OF NI   (Serbia)

^c UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Fractional calculus; Fractional integral; Geometric interpretation

Indexed keywords

EID: 37449027373     PISSN: 19356439     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. Ben Adda, F. (1997). Geometric interpretation of the fractional derivative. Journal of Fractional Calculus, vol. 11, 21-52.
2. Ben Adda, F. (1998). Interpretation geometrique de la differentiabilite et du gradient d'ordre reel. C. R. Acad. Sci. Paris 326, Serie I, 931-934.
3. Bullock, G. L. (1988). "A geometric interpretation of the Riemann-Stieltjes integral". American Mathematical Monthly, vol. 95, no. 5, 448-455.
4. Fu-Yao Ren, Zu-Guo Yu, Feng Su. (1996). Fractional integral associated to the self-similar set of the generalised self-similar set and its physical interpretation. Phys. Lett. A, vol. 219, 59-68.
5. Gorenflo, R. (1998). Afterthoughts on interpretation of fractional derivatives and integrals. In: P. Rusev, I. Dimovski, V. Kiryakova (Eds.), Transform Methods and Special Functions, Varna'96 (Proc. 3rd Internat. Workshop), Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia (ISBN 954-8986-05-1), 589-591.
6. Heymans, N., and Podlubny, I. (June 2006). Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives. Rheologica Acta, vol. 45, no. 5, 765-772 .