1 |
Jumarie, G.; Fourier's transform of fractional order via Mittag-Leffler function and modified Riemann-Liouville derivative, J Appl. Math.. and Informatics 2008 (26), Nos 5-6, pp 1101-1121
과학기술학회마을
|
2 |
Jumarie, G.; On some similarities and differences between fractional probability density, signed measures of probability and quantum probability, Modern Physics Letters B, 2009(23), No 6, pp 1-15
|
3 |
Levy Vehel, J.; Fractal, probability functions. An application to image analysis, Computer Vision and Pattern Recognition, 1991. Proceedings CVPR '91' IEEE. Computer Society Conference.
|
4 |
Miller KS. and Ross, B.; An Introduction to the Fractional Calculus and Fractional Differential Equations, Wiley, New York, 1973
|
5 |
Nishimoto, K; Fractional Calculus, Descartes Press Co. , Koroyama,1989
|
6 |
Oldham, KB. and Spanier, J.; The Fractional Calculus. Theory and Application of Differentiation and Integration to Arbitrary Order, Acadenic Press, New York, 1974
|
7 |
Ross, B.; Fractional Calculus and its Applications, Lecture Notes in Mathematics, Vol 457, Springer, Berlin, 1974
|
8 |
Jumarie, G.j Lagrangian mechanics of fractional order, Hamilton-Jacobi fractional PDE and Taylor's series of non-differentiable functions, Chaos, Solitons and Fractals, 2007 (32), No 3 , pp 969-987, 2007
DOI
ScienceOn
|
9 |
Caputo, M.; Linear model of dissipation whose Q is almost frequency dependent II, Geophys. J. R. Ast. Soc. 1967 (13), pp 529-539.
DOI
|
10 |
Anh, V.V. and Leonenko, N. N.; Spectral theory of renormalized fractional random fields, Teor. Imovirnost. ta Matem. Statyst 2002 (66), pp 3-14.
|
11 |
Djrbashian, M.M. and Nersesian, A.B.; Fractional derivative and the Cauchy problem for differential equations of fractional order (in Russsian), Izv. Acad. Nauk Armjandhoi SSR, 1968 (3) , No. 1, pp 3-29
|
12 |
Hilfer, R.; Applications of Fractional Calculus in Physics (R. Hilfer, ed.), World Scientific, Singapore, 2000, pp 87-130
|
13 |
Hochberg, K.J.; A signed measure on path space related to Wiener measure, The Annals of Probability, 1978, (6), 99433-458
|
14 |
Jumarie, G., Modified Riemann-Liouville derivative and fractional Taylor series of non-differentiable functions Further results, omputers and Mathematics with Applications, 2006 (51), pp 1367-1376
DOI
ScienceOn
|