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Volumn 17, Issue 3, 2013, Pages 953-956

1-D heat conduction in a fractal medium A solution by the Local Fractional Fourier Series Method

Author keywords

Fractal medium; Heat conduction; Local fractional Fourier series method

Indexed keywords

FOURIER SERIES; FRACTALS;

EID: 84880177097     PISSN: 03549836     EISSN: None     Source Type: Journal    
DOI: 10.2298/TSCI130303041Z     Document Type: Article
Times cited : (19)

References (14)
  • 2
    • 77952823001 scopus 로고    scopus 로고
    • Theory of Thermoelasticity Based on the Space-Time-Fractional Heat Conduction Equation
    • (6pp)
    • Povstenko, Y. Z., Theory of Thermoelasticity Based on the Space-Time-Fractional Heat Conduction Equation, Physica Scripta, T136 (2009), pp. 014-017 (6pp)
    • (2009) Physica Scripta , vol.T136 , pp. 014-017
    • Povstenko, Y.Z.1
  • 3
    • 84874182595 scopus 로고    scopus 로고
    • One-Phase Problems for Discontinuous Heat Transfer in Fractal Media
    • Mathematical Problems in Engineering
    • Hu, M. S., et al., One-Phase Problems for Discontinuous Heat Transfer in Fractal Media, Mathematical Problems in Engineering (2013), 0358473
    • (2013) , pp. 0358473
    • Hu, M.S.1
  • 4
    • 84879324154 scopus 로고    scopus 로고
    • Fractal Heat Conduction Problem Solved by Local Fractional Variation Iteration Method
    • Yang, X. J., Baleanu, D., Fractal Heat Conduction Problem Solved by Local Fractional Variation Iteration Method, Thermal Science, 17 (2013), 2, pp. 625-628
    • (2013) Thermal Science , vol.17 , Issue.2 , pp. 625-628
    • Yang, X.J.1    Baleanu, D.2
  • 5
    • 84872148874 scopus 로고    scopus 로고
    • Local Fractional Fourier Series with Application to Wave Equation in Fractal Vibrating String
    • Abstract and Applied Analysis, ID 567401
    • Hu, M. S., et al., Local Fractional Fourier Series with Application to Wave Equation in Fractal Vibrating String, Abstract and Applied Analysis, 2012, ID 567401, pp. 1-15
    • (2012) , pp. 1-15
    • Hu, M.S.1
  • 6
    • 84871843060 scopus 로고    scopus 로고
    • Advanced Local Fractional Calculus and its Applications
    • World Science Publisher, New York, USA
    • Yang, X. J., Advanced Local Fractional Calculus and its Applications, World Science Publisher, New York, USA, 2012
    • (2012)
    • Yang, X.J.1
  • 7
    • 84857478992 scopus 로고    scopus 로고
    • Local Fractional Functional Analysis and its Applications
    • Asian Academic Publisher, Hong Kong, China
    • Yang, X. J., Local Fractional Functional Analysis and its Applications, Asian Academic Publisher, Hong Kong, China, 2011
    • (2011)
    • Yang, X.J.1
  • 8
    • 0000092673 scopus 로고    scopus 로고
    • Variational Iteration Method - a Kind of Non-Linear Analytical Technique: Some Examples
    • He, J. H., Variational Iteration Method - a Kind of Non-Linear Analytical Technique: Some Examples, Int. J. Non-L. Mech., 34 (1999), 4, pp. 699-708
    • (1999) Int. J. Non-L. Mech. , vol.34 , Issue.4 , pp. 699-708
    • He, J.H.1
  • 9
    • 84874713172 scopus 로고    scopus 로고
    • Applications of the Variational Iteration Method to Fractional Diffusion Equations: Local Versus Nonlocal Ones
    • Wu, G. C., Applications of the Variational Iteration Method to Fractional Diffusion Equations: Local Versus Nonlocal Ones, International Review of Chemical Engineering, 4 (2012), 5, pp. 505-510
    • (2012) International Review of Chemical Engineering , vol.4 , Issue.5 , pp. 505-510
    • Wu, G.C.1
  • 10
    • 84874082957 scopus 로고    scopus 로고
    • An Exercise with the He's Variation Iteration Method to a Fractional Bernoulli Equation Arising in a Transient Conduction with a Non-Linear Boundary Heat Flux
    • Hristov, J., An Exercise with the He's Variation Iteration Method to a Fractional Bernoulli Equation Arising in a Transient Conduction with a Non-Linear Boundary Heat Flux, International Review of Chemical Engineering, 4 (2012), 5, pp. 489-497
    • (2012) International Review of Chemical Engineering , vol.4 , Issue.5 , pp. 489-497
    • Hristov, J.1
  • 11
    • 17844387391 scopus 로고    scopus 로고
    • Homotopy Perturbation Method for Bifurcation on Nonlinear Problems
    • He, J. H., Homotopy Perturbation Method for Bifurcation on Nonlinear Problems, Int. J. Nonlinear Sci. Numer. Simul., 6 (2005), 2, pp. 207-208
    • (2005) Int. J. Nonlinear Sci. Numer. Simul. , vol.6 , Issue.2 , pp. 207-208
    • He, J.H.1
  • 12
    • 84869494625 scopus 로고    scopus 로고
    • Asymptotic Methods for Solitary Solutions and Compactons
    • Abstract and Applied Analysis, ID 916793
    • He, J. H., Asymptotic Methods for Solitary Solutions and Compactons, Abstract and Applied Analysis 2012, ID 916793
    • (2012)
    • He, J.H.1
  • 13
    • 79953679592 scopus 로고    scopus 로고
    • Approximate Solutions to Fractional Sub-Diffusion Equations: The Heat-Balance Integral Method
    • Hristov, J., Approximate Solutions to Fractional Sub-Diffusion Equations: The Heat-Balance Integral Method, Eur. Phys. J. Special Topics, 193 (2011), 4, pp. 229-243
    • (2011) Eur. Phys. J. Special Topics , vol.193 , Issue.4 , pp. 229-243
    • Hristov, J.1
  • 14
    • 77955895114 scopus 로고    scopus 로고
    • Heat-Balance Integral to Fractional (Half-Time) Heat Diffusion Sub-Model
    • Hristov, J., Heat-Balance Integral to Fractional (Half-Time) Heat Diffusion Sub-Model, Thermal Science, 14 (2010), 2, pp. 291-316
    • (2010) Thermal Science , vol.14 , Issue.2 , pp. 291-316
    • Hristov, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.