The variant of post-Newtonian mechanics with generalized fractional derivatives. (English) Zbl 1151.83316
Editorial remark: No review copy delivered
MSC:
83C25 | Approximation procedures, weak fields in general relativity and gravitational theory |
26A33 | Fractional derivatives and integrals |
References:
[1] | DOI: 10.1002/andp.200510170 · Zbl 1098.83004 · doi:10.1002/andp.200510170 |
[2] | DOI: 10.12942/lrr-2002-4 · Zbl 1023.83026 · doi:10.12942/lrr-2002-4 |
[3] | DOI: 10.1063/1.1633491 · doi:10.1063/1.1633491 |
[4] | DOI: 10.1007/BF02395016 · Zbl 0033.27601 · doi:10.1007/BF02395016 |
[5] | Treves F., Introduction to Pseudodifferential and Fourier Integral Operators (1982) |
[6] | Samko S. O., Fractional Integrals and Derivatives (1993) |
[7] | Schouten J. A., Tensor Analysis for Physicists (1951) · Zbl 0044.38302 |
[8] | Landau L. D., The Classical Theory of Fields (1971) |
[9] | Reed M., Methods of Modern Mathematical Physics, Vol. 2, Fourier Analysis, Self-adjointness (1992) · Zbl 0308.47002 |
[10] | DOI: 10.1103/PhysRevLett.61.1159 · doi:10.1103/PhysRevLett.61.1159 |
[11] | Bond V. R., Modern Astrodynamics: Fundamentals and Perturbation Methods (1996) |
[12] | DOI: 10.1007/s11208-005-0033-2 · doi:10.1007/s11208-005-0033-2 |
[13] | DOI: 10.1023/A:1023673227013 · doi:10.1023/A:1023673227013 |
[14] | Lense J., Phys. Z. 19 pp 156– (1918) |
[15] | DOI: 10.1007/978-3-662-04849-8 · doi:10.1007/978-3-662-04849-8 |
[16] | DOI: 10.1086/316548 · doi:10.1086/316548 |
[17] | DOI: 10.1007/978-3-662-03758-4 · doi:10.1007/978-3-662-03758-4 |
[18] | DOI: 10.1103/PhysRevD.72.062001 · doi:10.1103/PhysRevD.72.062001 |
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