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Volumn 59, Issue 3, 2010, Pages 1101-1107

Mathematical modeling of different types of instabilities in time fractional reaction-diffusion systems

Author keywords

Dissipative structures; Fractional differential equations; Inhomogeneous oscillations; Reaction diffusion system

Indexed keywords

BRUSSELATORS; DISSIPATIVE STRUCTURE; FRACTIONAL DERIVATIVES; FRACTIONAL DIFFERENTIAL EQUATIONS; FRACTIONAL ORDER; FRACTIONAL REACTIONS; MATHEMATICAL MODELING; NUMERICAL SIMULATION; PATTERN FORMATION; QUALITATIVE ANALYSIS; REACTION DIFFUSION SYSTEMS; VAN DER POL;

EID: 74149085906     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2009.05.013     Document Type: Article
Times cited : (82)

References (21)
  • 1
    • 0036887936 scopus 로고    scopus 로고
    • Chaos, fractional kinetics, and anomalous transport
    • Zaslavsky G.M. Chaos, fractional kinetics, and anomalous transport. Phys. Rep. 371 (2002) 461-580
    • (2002) Phys. Rep. , vol.371 , pp. 461-580
    • Zaslavsky, G.M.1
  • 2
    • 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
  • 6
    • 27244451499 scopus 로고    scopus 로고
    • Turing pattern formation in fractional activator-inhibitor systems
    • Henry B.I., Langlands T.A.M., and Wearne S.L. Turing pattern formation in fractional activator-inhibitor systems. Phys. Rev. E 72 (2005) 026101
    • (2005) Phys. Rev. E , vol.72 , pp. 026101
    • Henry, B.I.1    Langlands, T.A.M.2    Wearne, S.L.3
  • 7
    • 33748775171 scopus 로고    scopus 로고
    • Anomalous diffusion with linear reaction dynamics: From continuous time random walks to fractional reaction-diffusion equations
    • Henry B.I., Langlands T.A.M., and Wearne S.L. Anomalous diffusion with linear reaction dynamics: From continuous time random walks to fractional reaction-diffusion equations. Phys. Rev. E 74 (2006) 031116
    • (2006) Phys. Rev. E , vol.74 , pp. 031116
    • Henry, B.I.1    Langlands, T.A.M.2    Wearne, S.L.3
  • 8
    • 33646097441 scopus 로고    scopus 로고
    • Pattern formation in a fractional reaction-diffusion system
    • Gafiychuk V., and Datsko B. Pattern formation in a fractional reaction-diffusion system. Physica A 365 (2006) 300-306
    • (2006) Physica A , vol.365 , pp. 300-306
    • Gafiychuk, V.1    Datsko, B.2
  • 9
    • 34247614459 scopus 로고    scopus 로고
    • Stability analysis and oscillatory structures in time-fractional reaction-diffusion systems
    • Gafiychuk V., and Datsko B. Stability analysis and oscillatory structures in time-fractional reaction-diffusion systems. Phys. Rev. E 75 R (2007) 055201
    • (2007) Phys. Rev. E , vol.75 , Issue.R , pp. 055201
    • Gafiychuk, V.1    Datsko, B.2
  • 10
    • 38049002454 scopus 로고    scopus 로고
    • Inhomogeneous oscillatory structures in fractional reaction-diffusion systems
    • Gafiychuk V., and Datsko B. Inhomogeneous oscillatory structures in fractional reaction-diffusion systems. Phys. Lett. A 372 (2008) 619-622
    • (2008) Phys. Lett. A , vol.372 , pp. 619-622
    • Gafiychuk, V.1    Datsko, B.2
  • 11
    • 47849129193 scopus 로고    scopus 로고
    • Mathematical modeling of time fractional reaction-diffusion systems
    • Gafiychuk V., Datsko B., and Meleshko V. Mathematical modeling of time fractional reaction-diffusion systems. J. Comput. Appl. Math. 372 (2008) 215-225
    • (2008) J. Comput. Appl. Math. , vol.372 , pp. 215-225
    • Gafiychuk, V.1    Datsko, B.2    Meleshko, V.3
  • 12
    • 55149099624 scopus 로고    scopus 로고
    • Turing pattern formation in the brusselator model with superdiffusion
    • Golovin A.A., Matkovsky B.J., and Volpert V.A. Turing pattern formation in the brusselator model with superdiffusion. SIAM J. Appl. Math. 60 (2008) 251-272
    • (2008) SIAM J. Appl. Math. , vol.60 , pp. 251-272
    • Golovin, A.A.1    Matkovsky, B.J.2    Volpert, V.A.3
  • 13
    • 57749106316 scopus 로고    scopus 로고
    • Continuous-time random walks with internal dynamics and subdiffusive reaction-diffusion equations
    • Eule S., Friedrich R., Jenko F., and Sokolov I.M. Continuous-time random walks with internal dynamics and subdiffusive reaction-diffusion equations. Phys. Rev. E 78 R (2008) 060102
    • (2008) Phys. Rev. E , vol.78 , Issue.R , pp. 060102
    • Eule, S.1    Friedrich, R.2    Jenko, F.3    Sokolov, I.M.4
  • 14
    • 79051471392 scopus 로고    scopus 로고
    • Oscillatory instability in super-diffusive reaction-diffusion systems: Fractional amplitude and phase diffusion equations
    • Nec Y., Nepomnyashchy A.A., and Golovin A.A. Oscillatory instability in super-diffusive reaction-diffusion systems: Fractional amplitude and phase diffusion equations. EPL 82 (2008) 58003
    • (2008) EPL , vol.82 , pp. 58003
    • Nec, Y.1    Nepomnyashchy, A.A.2    Golovin, A.A.3
  • 16
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • Cross M.C., and Hohenberg P.C. Pattern formation outside of equilibrium. Rev. Modern Phys. 65 (1993) 851-1112
    • (1993) Rev. Modern Phys. , vol.65 , pp. 851-1112
    • Cross, M.C.1    Hohenberg, P.C.2
  • 20
    • 67349177003 scopus 로고    scopus 로고
    • Existence and uniqueness for fractional neutral differential equations with infinite delay
    • Zhou Y., Jiao F., and Li J. Existence and uniqueness for fractional neutral differential equations with infinite delay. Nonlinear Anal. TMA 71 (2009) 3249-3256
    • (2009) Nonlinear Anal. TMA , vol.71 , pp. 3249-3256
    • Zhou, Y.1    Jiao, F.2    Li, J.3
  • 21
    • 64249112537 scopus 로고    scopus 로고
    • Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions
    • Ahmad B., and Nieto Wearne J.J. Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions. Boundary Value Problems 2009 (2009) 708576
    • (2009) Boundary Value Problems , vol.2009 , pp. 708576
    • Ahmad, B.1    Nieto Wearne, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.