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I provide a derivation of some characteristic effects of Milgrom's modified Newtonian dynamics (MOND) from a fractional version of Newton's theory based on the fractional Poisson equation.
M. Tuveri and M. Cadoni, Phys. Rev. D 100
1904
Earlier work this paper cites.
A. M. Frassino and O. Panella, Phys. Rev. D 100
1907
Earlier work this paper cites.
A. O. Barvinsky, P. I. Pronin and W. Wachowski, Phys. Rev. D 100
1908
Earlier work this paper cites.
F. Zwicky, Astrophys. J. 86
1937
Earlier work this paper cites.
M. Riesz, Acta mathematica 81
1949
Earlier work this paper cites.
G. G. Kuzmin, Astron. zh 33
1956
Earlier work this paper cites.
A. V. Balakrishnan, Pacific J. Math. 10
1960
Earlier work this paper cites.
M. Abramowitz, I. A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical table
1965
Earlier work this paper cites.
R. B. Tully, J. R. Fisher Astronomy and Astrophysics 54
1977
Earlier work this paper cites.
M. Milgrom, Astrophys. J. 270
1983
Earlier work this paper cites.
M. Milgrom, Astrophys. J. 270
1983
Earlier work this paper cites.
M. Milgrom, Astrophys. J. 270
1983
Earlier work this paper cites.
J. Bekenstein and M. Milgrom, Astrophys. J. 286
1984
Earlier work this paper cites.
K. G. Begeman, Astron. Astrophys. 223
1989
Earlier work this paper cites.
R. Estrada, R.P. Kanwal, J. Math. Anal. Appl. 141
1989
Earlier work this paper cites.
S. Samko, A. Kilbas, and O. Marichev, Fractional integrals and derivatives
1993
Earlier work this paper cites.
F. Mainardi, Chaos, Solitons & Fractals 7
1996
Earlier work this paper cites.
H. Zhao, Mon. Not. Roy. Astron. Soc. 278
1996
Earlier work this paper cites.
S. Perlmutter et al
1998
Earlier work this paper cites.
S. Perlmutter et al
1999
Cited alongside, same era.
E. Corbelli and P. Salucci, Mon. Not. Roy. Astron. Soc. 311
2000
Cited alongside, same era.
F. Mainardi, Yu. Luchko, G. Pagnini, Fract. Calc. Appl. Anal. 4
2001
Cited alongside, same era.
2002
Cited alongside, same era.
S. Capozziello, S. Carloni and A. Troisi, Recent Res. Dev. Astron. Astrophys. 1
2003
Cited alongside, same era.
S. M. Carroll, V. Duvvuri, M. Trodden and M. S. Turner, Phys. Rev. D 70
2004
Cited alongside, same era.
J. Binney and S. Tremaine, Galactic dynamics
2011
Later among the works it cites.
H. Zhao and B. Famaey, Phys. Rev. D 86
2012
Later among the works it cites.
B. Carr, F. Kuhnel and M. Sandstad, Phys. Rev. D 94
2016
Later among the works it cites.
S. Nojiri, S. D. Odintsov and V. K. Oikonomou, Phys. Rept. 692
2017
Later among the works it cites.
M. Kwaśnicki, Fract. Calc. Appl. Anal. 20
2017
Later among the works it cites.
A. Giusti, Fract. Calc. Appl. Anal. 20
2017
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2007
Cited alongside, same era.
L. D. Duffy and K. van Bibber, New J. Phys. 11
2009
Cited alongside, same era.
H. G. Sun, W. Chen, Y. Q. Chen, Physica A 388
2009
Cited alongside, same era.
L. Amendola and S. Tsujikawa, Dark Energy, Theory and Observations
2010
Cited alongside, same era.
T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys. 82
2010
Cited alongside, same era.
A. De Felice and S. Tsujikawa, Living Rev. Rel. 13
2010
Cited alongside, same era.
Later among the works it cites.
P. Brax, Rept. Prog. Phys. 81
2018
Later among the works it cites.
M. Cadoni, R. Casadio, A. Giusti, W. Mück and M. Tuveri, Phys. Lett. B 776
2018
Later among the works it cites.
M. Cadoni, R. Casadio, A. Giusti and M. Tuveri, Phys. Rev. D 97
2018
Later among the works it cites.
V. E. Tarasov, Adv. High Energy Phys. 2018
2018
Later among the works it cites.
E. Belgacem, Y. Dirian, S. Foffa and M. Maggiore, JCAP 1803
2018
Later among the works it cites.
R. Casadio, A. Giugno, A. Giusti and M. Lenzi, Gen. Rel. Grav. 51
2019
Later among the works it cites.
A. Giusti, Int. J. Geom. Meth. Mod. Phys. 16
2019
Later among the works it cites.
P. R. Stinga, User’s guide to the fractional Laplacian and the method of semigroups, in: A. Kochubei, Yu. Luchko, Handbook of Fractional Calculus with Applications
2019
Later among the works it cites.
H. G. Sun et al
2019
Later among the works it cites.
M. Xiang, B. Zhang, D. Yang, Nonlinear Analysis 178
2019
Later among the works it cites.
L. Wang, B. Zhang, Applicable Analysis, 1–18 (2019). doi: 10.1080/00036811.2019.1688790
2019
Later among the works it cites.
A. Giusti, Comm. Nonlinear Sci. Numer. Simulat. 83
2020
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