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Volumn 15, Issue 4, 2012, Pages 718-740

Survey paper : The derivation of the generalized functional equations describing self-similar processes

Author keywords

Fractional calculus; Self similar (fractal) processes; Solutions of functional equations; Weierstrass Mandelbrot function

Indexed keywords


EID: 84869169381     PISSN: 13110454     EISSN: 13142444     Source Type: Journal    
DOI: 10.2478/s13540-012-0049-5     Document Type: Review
Times cited : (22)

References (17)
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  • 4
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  • 8
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    • Is there a geometrical/physical meaning of the fractional integral with complex exponent
    • R.R. Nigmatullin, A. Le Mehaute, Is there a geometrical/physical meaning of the fractional integral with complex exponent ? Journal of Non-Crystalline Solids 351 (2005), 2888-2899.
    • (2005) Journal of Non-Crystalline Solids , vol.351 , pp. 2888-2899
    • Nigmatullin, R.R.1    Le Mehaute, A.2
  • 9
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    • Theory of dielectric relaxation in non-crystalline solids: From a set of micromotions to the averaged collective motion in the mesoscale region
    • R.R. Nigmatullin, Theory of dielectric relaxation in non-Crystalline solids: From a set of micromotions to the averaged collective motion in the mesoscale region. Physica B: Physics of Condensed Matter 358 (2005), 201-215.
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  • 10
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    • Dielectric relaxation based on the fractional kinetics: Theory and its experimental confirmation
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    • Nigmatullin, R.R.1
  • 11
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    • Recognition of the fractional kinetic equations from complex systems: Dielectric properties of fresh fruits and vegetables from 0.01 to 1.8 gh
    • R.R. Nigmatullin, S.O. Nelson, Recognition of the fractional kinetic equations from complex systems: Dielectric properties of fresh fruits and vegetables from 0.01 to 1.8 GH. Signal Proc. 86 (2006), 2744-2759.
    • (2006) Signal Proc , vol.86 , pp. 2744-2759
    • Nigmatullin, R.R.1    Nelson, S.O.2
  • 12
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    • The first experimental confirmation of the fractional kinetics containing the complex power-law exponents: Dielectric measurements of polymerization reaction
    • R.R. Nigmatullin, A.A. Arbuzov, F. Salehli, A. Gis, I. Bayrak, H. Catalgil-Giz, The first experimental confirmation of the fractional kinetics containing the complex power-law exponents: Dielectric measurements of polymerization reaction. Physica B: Physics of Condensed Matter 388 (2007), 418-434.
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  • 13
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    • Strongly correlated variables and existence of the universal disctribution function for relative ffluctuations
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.