메뉴 건너뛰기




Volumn 16, Issue 2, 2012, Pages 339-342

Fractional model for heat conduction in polar bear hairs

Author keywords

Anomalous heat conduction; Fractional complex transform; Modified riemann liouville derivative; Time fractional heat conduction equation

Indexed keywords

HEAT CONDUCTION; LIOUVILLE EQUATION; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 84863370700     PISSN: 03549836     EISSN: None     Source Type: Journal    
DOI: 10.2298/TSCI110503070W     Document Type: Article
Times cited : (40)

References (18)
  • 1
    • 79953679592 scopus 로고    scopus 로고
    • Approximate Solutions to Fractional Subdiffusion Equations
    • Hristov, J., Approximate Solutions to Fractional Subdiffusion Equations, European Physical Journal, 193 (2011), l,pp. 229-243
    • (2011) European Physical Journal , vol.193 , Issue.1 , pp. 229-243
    • Hristov, J.1
  • 2
    • 79955127833 scopus 로고    scopus 로고
    • Starting Radial Subdiffusion from a Central Point through a Diverging Medium (A sphere): Heat-Balance Integral Method
    • Hristov, J., Starting Radial Subdiffusion from a Central Point through a Diverging Medium (A sphere): Heat-Balance Integral Method, Thermal Science, 15 (2011), Suppl., pp. S5-S20
    • (2011) Thermal Science , vol.15 , Issue.SUPPL.
    • Hristov, J.1
  • 3
    • 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
  • 4
    • 79955126649 scopus 로고    scopus 로고
    • A Fractional Lie Group Method for Anomalous Diffusion Equations
    • Wu, G. C., A Fractional Lie Group Method for Anomalous Diffusion Equations, Communications in Frac-tional Calculus, 1 (2010), 1, pp. 27-31
    • (2010) Communications in Frac-tional Calculus , vol.1 , Issue.1 , pp. 27-31
    • Wu, G.C.1
  • 5
    • 0032307661 scopus 로고    scopus 로고
    • Approximate Analytical Solution for Seepage Flow with Fractional Derivatives in Porous Media
    • He, J.-H., Approximate Analytical Solution for Seepage Flow with Fractional Derivatives in Porous Media, Computer Methods in Applied Mechanics and Engineering, 767(1998), 1-2, pp. 57-68
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.767 , Issue.1-2 , pp. 57-68
    • He, J.-H.1
  • 6
    • 84890256375 scopus 로고    scopus 로고
    • Homotopy Perturbation Pade Technique for Solving Fractional Riccati Differential Equa-tions
    • Jafari, H., et al., Homotopy Perturbation Pade Technique for Solving Fractional Riccati Differential Equa-tions, Int. J. Nonlinear Sci. Num., 11 (2010), Suppl., pp. S271-S276
    • (2010) Int. J. Nonlinear Sci. Num. , vol.11 , Issue.SUPPL.
    • Jafari, H.1
  • 7
    • 77953205877 scopus 로고    scopus 로고
    • The Homotopy Perturbation Method for Multi-order Time Fractional Differ-ential Equations
    • Golbabai, A., Sayevand, K., The Homotopy Perturbation Method for Multi-order Time Fractional Differ-ential Equations, Nonlinear Science Letters A, 1 (2010), 2, pp. 147-154
    • (2010) Nonlinear Science Letters A , vol.1 , Issue.2 , pp. 147-154
    • Golbabai, A.1    Sayevand, K.2
  • 8
    • 77954863952 scopus 로고    scopus 로고
    • A Fractional Model for Bacterial Chemoattractant in a Liquid Medium
    • Rida, S. Z., et al., A Fractional Model for Bacterial Chemoattractant in a Liquid Medium, Nonlinear Science Letters A, 1 (2010), 4, pp. 419-424
    • (2010) Nonlinear Science Letters A , vol.1 , Issue.4 , pp. 419-424
    • Rida, S.Z.1
  • 9
    • 79251611305 scopus 로고    scopus 로고
    • A Generalized Exp-Function Method for Fractional Riccati Differential Equations
    • Zhang, S., et al., A Generalized Exp-Function Method for Fractional Riccati Differential Equations, Com-munications in Fractional Calculus, 1 (2010), 1, pp. 48-51
    • (2010) Com-munications in Fractional Calculus , vol.1 , Issue.1 , pp. 48-51
    • Zhang, S.1
  • 10
    • 79955145165 scopus 로고    scopus 로고
    • A New Fractal Derivation
    • He, J.-H., A New Fractal Derivation, Thermal Science, 15 (2011), Suppl. 2, pp. S145-S147
    • (2011) Thermal Science , vol.15 , Issue.2 SUPPL.
    • He, J.-H.1
  • 11
    • 79955157832 scopus 로고    scopus 로고
    • Analytical Methods for Thermal Science - An Elementary Introduction
    • He, J.-H., Analytical Methods for Thermal Science - An Elementary Introduction, Thermal Science, 15 (2011), Suppl. 2, pp. S1-S3
    • (2011) Thermal Science , vol.15 , Issue.2 SUPPL.
    • He, J.-H.1
  • 12
    • 79955470495 scopus 로고    scopus 로고
    • Fractional Complex Transform for Fractional Differential Equations
    • Li, Z.-B., He, J.-H, Fractional Complex Transform for Fractional Differential Equations, Mathematical and Computational Applications, 15 (2010), 5, pp. 970-973
    • (2010) Mathematical and Computational Applications , vol.15 , Issue.5 , pp. 970-973
    • Li, Z.-B.1    He, J.-H.2
  • 15
    • 77957924322 scopus 로고    scopus 로고
    • Cauchy's Integral Formula via the Modified Riemann-Liouville Derivative for Analytic Functions of Fractional Order
    • Jumarie, G., Cauchy's Integral Formula via the Modified Riemann-Liouville Derivative for Analytic Functions of Fractional Order, Applied Mathematics Letters, 23 (2010), 12, pp. 1444-1450
    • (2010) Applied Mathematics Letters , vol.23 , Issue.12 , pp. 1444-1450
    • Jumarie, G.1
  • 16
    • 34249788181 scopus 로고    scopus 로고
    • Fractional Partial Differential Equations and Modified Riemann-Liouville Derivative New Methods for Solution
    • Jumarie, G., Fractional Partial Differential Equations and Modified Riemann-Liouville Derivative New Methods for Solution, Journal of Applied Mathematics and Computing, 24 (2007), 1-2, pp. 31-48
    • (2007) Journal of Applied Mathematics and Computing , vol.24 , Issue.1-2 , pp. 31-48
    • Jumarie, G.1
  • 17
    • 33745742268 scopus 로고    scopus 로고
    • Modified Riemann-Liouville Derivative and Fractional Taylor series of Non-Differentiable Functions Further Results
    • Jumarie, G., Modified Riemann-Liouville Derivative and Fractional Taylor series of Non-Differentiable Functions Further Results, Computers and Mathematics with Applications, 51 (2006), 9-10, pp. 1367-1376
    • (2006) Computers and Mathematics with Applications , vol.51 , Issue.9-10 , pp. 1367-1376
    • Jumarie, G.1
  • 18
    • 84863382795 scopus 로고    scopus 로고
    • Can Polar Bear Absorb Environmental Energy?
    • He, J.-H., Wang, Q.-L., Sun, J., Can Polar Bear Absorb Environmental Energy?, Thermal Science, 15 (2011), 3, pp. 911-913
    • (2011) Thermal Science , vol.15 , Issue.3 , pp. 911-913
    • He, J.-H.1    Wang, Q.-L.2    Sun, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.