메뉴 건너뛰기




Volumn 11, Issue 1, 2010, Pages 262-269

The fractional diffusion model with an absorption term and modified Fick's law for non-local transport processes

Author keywords

Anomalous diffusion; Finite Hankel transformation; Fractional Fick's law; Fractional oscillator; Riemann Liouville fractional derivative

Indexed keywords

ANOMALOUS DIFFUSION; FINITE HANKEL TRANSFORMATION; FRACTIONAL FICK'S LAW; FRACTIONAL OSCILLATOR; RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE;

EID: 70350738926     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.10.057     Document Type: Article
Times cited : (73)

References (26)
  • 1
    • 33747339653 scopus 로고    scopus 로고
    • Starting solutions for motion of a second grade fluid due to longitudinal and torsional oscillations of a circular cylinder
    • Fetecau C., and Fetecau C. Starting solutions for motion of a second grade fluid due to longitudinal and torsional oscillations of a circular cylinder. Int. J. Eng. Sci. 44 (2006) 788-796
    • (2006) Int. J. Eng. Sci. , vol.44 , pp. 788-796
    • Fetecau, C.1    Fetecau, C.2
  • 2
    • 38949125470 scopus 로고    scopus 로고
    • Unsteady flow of a second grade fluid between two side walls perpendicular to a plate
    • 10.1016/j.nonrwa.2007.02.014
    • Fetecau C., Hayat T., Fetecau C., and Ali N. Unsteady flow of a second grade fluid between two side walls perpendicular to a plate. Nonlinear Anal. RWA (2007) 10.1016/j.nonrwa.2007.02.014
    • (2007) Nonlinear Anal. RWA
    • Fetecau, C.1    Hayat, T.2    Fetecau, C.3    Ali, N.4
  • 3
    • 0037073060 scopus 로고    scopus 로고
    • Flow due to a stretching boundary with partial slip- an exact solution of the Navier-Stokes equation
    • Wang C.Y. Flow due to a stretching boundary with partial slip- an exact solution of the Navier-Stokes equation. Chem. Eng. Sci. 57 (2002) 3745-3747
    • (2002) Chem. Eng. Sci. , vol.57 , pp. 3745-3747
    • Wang, C.Y.1
  • 7
    • 0037030796 scopus 로고    scopus 로고
    • The impulsive motion of at plate in a generalized second order fluids
    • Tan W.C., and Xu M.Y. The impulsive motion of at plate in a generalized second order fluids. Mech. Res. Comm. 29 (2002) 3-9
    • (2002) Mech. Res. Comm. , vol.29 , pp. 3-9
    • Tan, W.C.1    Xu, M.Y.2
  • 8
    • 33646705185 scopus 로고    scopus 로고
    • Exact solution for MHD flow of a generalized Oldroyd-B fluid with modifed Darcy's law
    • Khan M., Hayat T., and Asghar S. Exact solution for MHD flow of a generalized Oldroyd-B fluid with modifed Darcy's law. Int. J. Eng. Sci. 44 (2006) 333-339
    • (2006) Int. J. Eng. Sci. , vol.44 , pp. 333-339
    • Khan, M.1    Hayat, T.2    Asghar, S.3
  • 9
    • 0002641421 scopus 로고    scopus 로고
    • The random walk's guide to anomalous diffusion: a fractional dynamics approach
    • Metzler R., and Klafter J. The random walk's guide to anomalous diffusion: a fractional dynamics approach. Phys. Rep. 339 (2000) 1-77
    • (2000) Phys. Rep. , vol.339 , pp. 1-77
    • Metzler, R.1    Klafter, J.2
  • 10
    • 29144486830 scopus 로고    scopus 로고
    • Analysis of fractional anomalous diffusion caused by an instantaneous point source in disordered fractal media
    • Xiaoyun J., and Mingyu X. Analysis of fractional anomalous diffusion caused by an instantaneous point source in disordered fractal media. Internat. J. Non-Linear Mech. 41 (2006) 156-165
    • (2006) Internat. J. Non-Linear Mech. , vol.41 , pp. 156-165
    • Xiaoyun, J.1    Mingyu, X.2
  • 11
    • 0030464353 scopus 로고    scopus 로고
    • Fractional relaxation-oscillation and fractional diffusion-wave phenomena
    • Mainardi F. Fractional relaxation-oscillation and fractional diffusion-wave phenomena. Chaos Solitons Fractals 7 (1996) 1461-1477
    • (1996) Chaos Solitons Fractals , vol.7 , pp. 1461-1477
    • Mainardi, F.1
  • 12
    • 43949160695 scopus 로고
    • Fractional model equation for anomalous diffusion
    • Metzler R., Glöckle W.G., and Nonnenmacher T.F. Fractional model equation for anomalous diffusion. Physica A 211 (1994) 13-24
    • (1994) Physica A , vol.211 , pp. 13-24
    • Metzler, R.1    Glöckle, W.G.2    Nonnenmacher, T.F.3
  • 13
    • 0000361678 scopus 로고    scopus 로고
    • Random walk models for space-fractional diffusion processes
    • Gorenflo R., and Mainardi F. Random walk models for space-fractional diffusion processes. Fractional Calculus Appl. Anal. 1 (1998) 167-191
    • (1998) Fractional Calculus Appl. Anal. , vol.1 , pp. 167-191
    • Gorenflo, R.1    Mainardi, F.2
  • 14
    • 55649083102 scopus 로고    scopus 로고
    • Some exacts solutions for the helical flow of a generalized Oldroyd-B fluid in a circular cylinder
    • 10.1016/j.camwa.2008.07.003
    • Fetecau C., Mahmood A., Fetecau C., and Vieru D. Some exacts solutions for the helical flow of a generalized Oldroyd-B fluid in a circular cylinder. Comput. Math. Appl. (2008) 10.1016/j.camwa.2008.07.003
    • (2008) Comput. Math. Appl.
    • Fetecau, C.1    Mahmood, A.2    Fetecau, C.3    Vieru, D.4
  • 15
    • 54049115830 scopus 로고    scopus 로고
    • Decay of a potential vortex in a generalized Oldroyd-B fluid
    • 10.1016/j.amc.2008.08.017
    • Fetecau C., Fetecau C., et al. Decay of a potential vortex in a generalized Oldroyd-B fluid. Appl. Math Comput. (2008) 10.1016/j.amc.2008.08.017
    • (2008) Appl. Math Comput.
    • Fetecau, C.1    Fetecau, C.2
  • 16
    • 38149085389 scopus 로고    scopus 로고
    • Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model
    • Qi H.T., and Xu M.Y. Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model. Acta Mech. Sinica 23 (2007) 463-469
    • (2007) Acta Mech. Sinica , vol.23 , pp. 463-469
    • Qi, H.T.1    Xu, M.Y.2
  • 17
    • 4043151477 scopus 로고    scopus 로고
    • The restaurant at the end of the random walk: Recent developments in the description of anomalous transport by fractional dynamics
    • Metzler R., and Klafter J. The restaurant at the end of the random walk: Recent developments in the description of anomalous transport by fractional dynamics. J. Phys. A 37 (2004) R161-R208
    • (2004) J. Phys. A , vol.37
    • Metzler, R.1    Klafter, J.2
  • 18
    • 35648947830 scopus 로고    scopus 로고
    • An anomalous subdiffusion model for calcium spark in cardiac myocytes
    • Tan W.C., Fu C., Fu C., et al. An anomalous subdiffusion model for calcium spark in cardiac myocytes. Appl. Phys. Lett. 91 (2007) 183901
    • (2007) Appl. Phys. Lett. , vol.91 , pp. 183901
    • Tan, W.C.1    Fu, C.2    Fu, C.3
  • 19
    • 33745759950 scopus 로고    scopus 로고
    • Intermediate processes and critical phenomena: Theory, method and progress of fractional operators and their applications to modern mechanics
    • Mingyu X., and Wenchang T. Intermediate processes and critical phenomena: Theory, method and progress of fractional operators and their applications to modern mechanics. Sci. China Ser. G 49 3 (2006) 1672-1799
    • (2006) Sci. China Ser. G , vol.49 , Issue.3 , pp. 1672-1799
    • Mingyu, X.1    Wenchang, T.2
  • 20
    • 0002745423 scopus 로고    scopus 로고
    • Afractional diffusion equation to describe Lévy flights
    • Chaves A.S. Afractional diffusion equation to describe Lévy flights. Phy Lett. A 239 (1998) 13-16
    • (1998) Phy Lett. A , vol.239 , pp. 13-16
    • Chaves, A.S.1
  • 21
    • 0034832088 scopus 로고    scopus 로고
    • The fractional Fick's law for non-local transport processes
    • Paradisi P., Cesari R., Mainardi F., and Tampieri F. The fractional Fick's law for non-local transport processes. Physical A 293 (2000) 130-142
    • (2000) Physical A , vol.293 , pp. 130-142
    • Paradisi, P.1    Cesari, R.2    Mainardi, F.3    Tampieri, F.4
  • 22
    • 0032049827 scopus 로고    scopus 로고
    • Macroscopic current in fractional anomalous diffusion
    • Zanette D.H. Macroscopic current in fractional anomalous diffusion. Physica A 252 (1998) 159-164
    • (1998) Physica A , vol.252 , pp. 159-164
    • Zanette, D.H.1
  • 24
    • 0035881879 scopus 로고    scopus 로고
    • Dynamics of the fractional oscillator
    • Narahari Achar B.N., Hanneken J.W., et al. Dynamics of the fractional oscillator. Physica A 297 (2001) 361-367
    • (2001) Physica A , vol.297 , pp. 361-367
    • Narahari Achar, B.N.1    Hanneken, J.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.