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Volumn 50, Issue 12, 2009, Pages

A scaling method and its applications to problems in fractional dimensional space

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Indexed keywords


EID: 73949106502     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3263940     Document Type: Article
Times cited : (34)

References (36)
  • 5
    • 55149116483 scopus 로고    scopus 로고
    • 0370-1573,. 10.1016/S0370-1573(02)00331-9
    • G. M. Zaslavsky, Phys. Rep. 0370-1573 371, 461 (2002). 10.1016/S0370-1573(02)00331-9
    • (2002) Phys. Rep. , vol.371 , pp. 461
    • Zaslavsky, G.M.1
  • 6
    • 36749116500 scopus 로고
    • 0022-2488 10.1063/1.523395
    • F. H. Stillinger, J. Math. Phys. 0022-2488 18, 1224 (1977) 10.1063/1.523395;
    • (1977) J. Math. Phys. , vol.18 , pp. 1224
    • Stillinger, F.H.1
  • 7
    • 33750493372 scopus 로고
    • 0556-2821 10.1103/PhysRevD.7.2911
    • K. G. Wilson, Phys. Rev. D 0556-2821 7, 2911 (1973). 10.1103/PhysRevD.7. 2911
    • (1973) Phys. Rev. D , vol.7 , pp. 2911
    • Wilson, K.G.1
  • 8
    • 33750082064 scopus 로고    scopus 로고
    • Fractional multipoles in fractional space
    • DOI 10.1016/j.nonrwa.2005.07.001, PII S1468121805001124
    • S. Muslih and D. Baleanu, Nonlinear Anal.: Real World Appl. 1468-1218 8, 198 (2007). 10.1016/j.nonrwa.2005.07.001 (Pubitemid 44584793)
    • (2007) Nonlinear Analysis: Real World Applications , vol.8 , Issue.1 , pp. 198-203
    • Muslih, S.I.1    Baleanu, D.2
  • 9
    • 0025463638 scopus 로고
    • 0038-1098,. 10.1016/0038-1098(90)90352-C
    • X. He, Solid State Commun. 0038-1098 75, 111 (1990). 10.1016/0038- 1098(90)90352-C
    • (1990) Solid State Commun. , vol.75 , pp. 111
    • He, X.1
  • 10
    • 4243610210 scopus 로고
    • 0163-1829,. 10.1103/PhysRevB.43.2063
    • X. He, Phys. Rev. B 0163-1829 43, 2063 (1991). 10.1103/PhysRevB.43.2063
    • (1991) Phys. Rev. B , vol.43 , pp. 2063
    • He, X.1
  • 12
    • 0003787842 scopus 로고
    • Cambridge University Press, Cambridge
    • J. C. Collins, Renormalization (Cambridge University Press, Cambridge, 1984).
    • (1984) Renormalization
    • Collins, J.C.1
  • 14
    • 0036701004 scopus 로고    scopus 로고
    • 0022-247X 10.1016/S0022-247X(02)00180-4
    • O. P. Agrawal, J. Math. Anal. Appl. 0022-247X 272, 368 (2002) 10.1016/S0022-247X(02)00180-4;
    • (2002) J. Math. Anal. Appl. , vol.272 , pp. 368
    • Agrawal, O.P.1
  • 15
    • 34748879376 scopus 로고    scopus 로고
    • Generalized Euler-Lagrange equations and transversality conditions for FVPs in terms of the caputo derivative
    • DOI 10.1177/1077546307077472
    • O. P. Agrawal, J. Vib. Control 1077-5463 13, 1217 (2007). 10.1177/1077546307077472 (Pubitemid 47482809)
    • (2007) JVC/Journal of Vibration and Control , vol.13 , Issue.9-10 , pp. 1217-1237
    • Agrawal, O.P.1
  • 16
    • 32944461493 scopus 로고    scopus 로고
    • Gravitational field of fractal distribution of particles
    • DOI 10.1007/s10569-005-1152-2
    • V. E. Tarasov, Celest. Mech. Dyn. Astron. 0923-2958 94, 1 (2006). 10.1007/s10569-005-1152-2 (Pubitemid 43260474)
    • (2006) Celestial Mechanics and Dynamical Astronomy , vol.94 , Issue.1 , pp. 1-15
    • Tarasov, V.E.1
  • 17
    • 0001102649 scopus 로고
    • 0305-4470,. 10.1088/0305-4470/23/14/001
    • Y. F. Nonnenmacher, J. Phys. A 0305-4470 23, L697S (1990). 10.1088/0305-4470/23/14/001
    • (1990) J. Phys. A , vol.23
    • Nonnenmacher, Y.F.1
  • 19
  • 21
    • 20444386984 scopus 로고    scopus 로고
    • Fractional hydrodynamic equations for fractal media
    • DOI 10.1016/j.aop.2005.01.004, PII S0003491605000072
    • V. E. Tarasov, Ann. Phys. 0003-3804 318, 286 (2005) 10.1016/j.aop.2005. 01.004; (Pubitemid 40864807)
    • (2005) Annals of Physics , vol.318 , Issue.2 , pp. 286-307
    • Tarasov, V.E.1
  • 22
    • 33746069046 scopus 로고    scopus 로고
    • Electromagnetic fields on fractals
    • DOI 10.1142/S0217732306020974, PII S0217732306020974
    • V. E. Tarasov, Mod. Phys. Lett. A 0217-7323 21, 1587 (2006). 10.1142/S0217732306020974 (Pubitemid 44078699)
    • (2006) Modern Physics Letters A , vol.21 , Issue.20 , pp. 1587-1600
    • Tarasov, V.E.1
  • 27
    • 0003864328 scopus 로고
    • edited by A. Erd́ly, W. Magnus, F. Oberhettinger, and F. G. Tricomi (McGraw-Hill, New York)
    • Higher Transcendental Functions, edited by, A. Erd́ly, W. Magnus, F. Oberhettinger, and, F. G. Tricomi, (McGraw-Hill, New York, 1955) Vo. 1-3.
    • (1955) Higher Transcendental Functions , vol.13
  • 28
    • 73949085261 scopus 로고
    • 0025-570X
    • D. Bell, Math. Mag. 0025-570X 66, 243 (1993).
    • (1993) Math. Mag. , vol.66 , pp. 243
    • Bell, D.1
  • 32
    • 56149096707 scopus 로고    scopus 로고
    • 0370-1573,. 10.1016/S0370-1573(00)00070-3
    • R. Metzler and J. Klafter, Phys. Rep. 0370-1573 339, 1 (2000). 10.1016/S0370-1573(00)00070-3
    • (2000) Phys. Rep. , vol.339 , pp. 1
    • Metzler, R.1    Klafter, J.2
  • 35
    • 5744237978 scopus 로고    scopus 로고
    • Applications of integral transforms in fractional diffusion processes
    • DOI 10.1080/10652460412331270652
    • F. Mainardi, Integral Transforms Spec. Funct. 1065-2469 15, 477 (2004). 10.1080/10652460412331270652 (Pubitemid 39378880)
    • (2004) Integral Transforms and Special Functions , vol.15 , Issue.6 , pp. 477-484
    • Mainardi, F.1
  • 36
    • 4043144342 scopus 로고    scopus 로고
    • Probability interpretation of the integral of fractional order
    • DOI 10.1023/B:TAMP.0000018457.70786.36
    • A. A. Stanislavsky, Theor. Math. Phys. 0040-5779 138, 418 (2004). 10.1023/B:TAMP.0000018457.70786.36 (Pubitemid 39063454)
    • (2004) Theoretical and Mathematical Physics , vol.138 , Issue.3 , pp. 418-431
    • Stanislavsky, A.A.1


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