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We demonstrate that a violation of the Leibniz rule is a characteristic property of derivatives of non-integer orders.
S.G. Samko, A.A. Kilbas, O.I. Marichev, Integrals and Derivatives of Fractional Order and Applications
1993
Earlier work this paper cites.
A. Carpinteri, F. Mainardi (Eds.), Fractals and Fractional Calculus in Continuum Mechanics
1997
Earlier work this paper cites.
R. Hilfer (Ed.), Applications of Fractional Calculus in Physics
2000
Earlier work this paper cites.
Jet Nestruev, Smooth Manifolds And Observables
2003
Earlier work this paper cites.
A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations
2006
Earlier work this paper cites.
G. Jumarie, ”Modified Riemann-Liouville derivative and fractional Taylor series of non-differentiable functions further results”, Mathematical and Computational Applications. Vol.51. No.9-10. (2006) 1367-1376. (see Page 1371. Eq. 3.11.)
2006
Earlier work this paper cites.
J. Sabatier, O.P. Agrawal, J.A. Tenreiro Machado, (Eds.) Advances in Fractional Calculus. Theoretical Developments and Applications in Physics and Engineering
2007
Cited alongside, same era.
G. Jumarie, ”Table of some basic fractional calculus formulae derived from a modified Riemann-Liouvillie derivative for nondifferentiable functions”, Applied Mathematics Letters. Vol.22. No.3. (2009) 378-385. (see Page 382. Eq. 4.3)
2009
Cited alongside, same era.
A.C.J. Luo, V.S. Afraimovich (Eds.), Long-range Interaction, Stochasticity and Fractional Dynamics
2010
Cited alongside, same era.
F. Mainardi, Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models
2010
Cited alongside, same era.
J. Klafter, S.C. Lim, R. Metzler (Eds.), Fractional Dynamics. Recent Advances
2011
Cited alongside, same era.
V.E. Tarasov, Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media
2011
Later among the works it cites.
X. J. Yang, Advanced Local Fractional Calculus and Its Applications
2012
Later among the works it cites.
V.V. Uchaikin, Fractional Derivatives for Physicists and Engineers
2013
Later among the works it cites.
V. Uchaikin, R. Sibatov, Fractional Kinetics in Solids: Anomalous Charge Transport in Semiconductors, Dielectrics and Nanosystems
2013
Later among the works it cites.
V.E. Tarasov, ”Review of some promising fractional physical models”, International Journal of Modern Physics. Vol.27. No.9. (2013) 1330005
2013
Later among the works it cites.
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J. Liouville, ”Memoire sur le calcul des differentielles a indices quelconques”, Journal de l’Ecole Royale Polytechnique. 1832. Extraits (complet) du Tome 13. Sect. 21. P. 71-162. (see Page 118.)
Cited in the paper.