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Volumn 170, Issue 2, 2005, Pages 1126-1134

Analytic and approximate solutions of the space- and time-fractional telegraph equations

Author keywords

Decomposition method; Fractional differential equation; Telegraph equation

Indexed keywords

COMPUTATIONAL METHODS; DIFFERENTIAL EQUATIONS; TELEGRAPH;

EID: 27144506208     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.01.009     Document Type: Article
Times cited : (171)

References (18)
  • 1
    • 0041185368 scopus 로고
    • A review of the decomposition method in applied mathematics
    • G. Adomian A review of the decomposition method in applied mathematics J. Math. Anal. Appl. 135 1988 501 544
    • (1988) J. Math. Anal. Appl. , vol.135 , pp. 501-544
    • Adomian, G.1
  • 3
    • 0036650559 scopus 로고    scopus 로고
    • Solution for a fractional diffusion-wave equation defined in a bounded domain
    • Om P. Agrawal Solution for a fractional diffusion-wave equation defined in a bounded domain Nonlinear Dynamics 29 2002 145 155
    • (2002) Nonlinear Dynamics , vol.29 , pp. 145-155
    • Agrawal Om, P.1
  • 4
    • 0001735198 scopus 로고    scopus 로고
    • Scaling laws for fractional diffusion-wave equation with singular data
    • V.V. Anh, and N.N. Leonenko Scaling laws for fractional diffusion-wave equation with singular data Stat. Prob. Lett. 48 2000 239 252
    • (2000) Stat. Prob. Lett. , vol.48 , pp. 239-252
    • Anh, V.V.1    Leonenko, N.N.2
  • 5
  • 6
    • 84977255207 scopus 로고
    • Linear models of dissipation whose Q is almost frequency independent. Part II
    • M. Caputo Linear models of dissipation whose Q is almost frequency independent. Part II J. Roy. Astr. Soc. 13 1967 529 539
    • (1967) J. Roy. Astr. Soc. , vol.13 , pp. 529-539
    • Caputo, M.1
  • 7
    • 0343526808 scopus 로고    scopus 로고
    • Fractional reaction-diffusion
    • B.I. Henry, and S.L. Wearne Fractional reaction-diffusion Physica A 276 2000 448 455
    • (2000) Physica A , vol.276 , pp. 448-455
    • Henry, B.I.1    Wearne, S.L.2
  • 8
    • 0012656626 scopus 로고    scopus 로고
    • A new approach to the telegraph equation: An application of the decomposition method
    • D. Kaya A new approach to the telegraph equation: An application of the decomposition method Bull. Inst. Math., Acad. Sin. 28 1 2000 51 57
    • (2000) Bull. Inst. Math., Acad. Sin. , vol.28 , Issue.1 , pp. 51-57
    • Kaya, D.1
  • 9
    • 0000146632 scopus 로고
    • Fractal behavior in trapping and reaction: A random walk study
    • J. Klafter, A. Blumen, and M.F. Shlesinger Fractal behavior in trapping and reaction: A random walk study J. Stat. Phys. 36 1984 561 578
    • (1984) J. Stat. Phys. , vol.36 , pp. 561-578
    • Klafter, J.1    Blumen, A.2    Shlesinger, M.F.3
  • 11
    • 0001983732 scopus 로고    scopus 로고
    • Fractional calculus: Some basic problems in continuum and statistical mechanics
    • A. Carpinteri F. Mainardi Springer-Verlag New York
    • F. Mainardi Fractional calculus: Some basic problems in continuum and statistical mechanics A. Carpinteri F. Mainardi Fractals and fractional calculus in continuum mechanics 1997 Springer-Verlag New York 291 348
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics , pp. 291-348
    • Mainardi, F.1
  • 13
    • 27144432790 scopus 로고
    • To the theoretical explanation of the universal response
    • R.R. Nigmatullin To the theoretical explanation of the universal response Physica B 133 1984 739 754
    • (1984) Physica B , vol.133 , pp. 739-754
    • Nigmatullin, R.R.1
  • 14
    • 0022492943 scopus 로고
    • The realization of the generalized transfer equation in a medium with fractional geometry
    • R.R. Nigmatullin The realization of the generalized transfer equation in a medium with fractional geometry Phys. Status (B): Basic Res. 133 1 1986 425 430
    • (1986) Phys. Status (B): Basic Res. , vol.133 , Issue.1 , pp. 425-430
    • Nigmatullin, R.R.1
  • 15
    • 0037254447 scopus 로고    scopus 로고
    • The space-fractional telegraph equation and the related fractional telegraph process
    • E. Orsingher, and X. Zhao The space-fractional telegraph equation and the related fractional telegraph process Chinese Ann. Math. 24B 1 2003 1 12
    • (2003) Chinese Ann. Math. , vol.24 , Issue.1 , pp. 1-12
    • Orsingher, E.1    Zhao, X.2
  • 16
    • 0742323831 scopus 로고    scopus 로고
    • Time-fractional telegraph equation and telegraph processes with brownian time
    • E. Orsingher, and L. Beghin Time-fractional telegraph equation and telegraph processes with brownian time Prob. Theory Relat. Fields 128 2004 141 160
    • (2004) Prob. Theory Relat. Fields , vol.128 , pp. 141-160
    • Orsingher, E.1    Beghin, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.