메뉴 건너뛰기




Volumn 295, Issue 2, 2004, Pages 303-314

The decay rate for a fractional differential equation

Author keywords

Exponential decay; Fractional derivative; Positive definite function; Weakly singular kernel

Indexed keywords


EID: 3242668227     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.01.047     Document Type: Article
Times cited : (18)

References (20)
  • 2
    • 3242716912 scopus 로고
    • Global existence and asymptotic stability for a nonlinear integrodifferential equation modeling heat flow
    • Brandon D. Global existence and asymptotic stability for a nonlinear integrodifferential equation modeling heat flow SIAM J. Math. Anal. 22 1991 72-106
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 72-106
    • Brandon, D.1
  • 6
    • 0031270541 scopus 로고    scopus 로고
    • On a fractional partial differential equation with dominating linear part
    • Gripenberg G. Londen S.O. Prüss J. On a fractional partial differential equation with dominating linear part Math. Methods Appl. Sci. 20 1997 1427-1448
    • (1997) Math. Methods Appl. Sci. , vol.20 , pp. 1427-1448
    • Gripenberg, G.1    Londen, S.O.2    Prüss, J.3
  • 7
    • 0011603759 scopus 로고
    • The Cauchy problem in one-dimensional nonlinear viscoelasticity
    • Hrusa W.J. Nohel J.A. The Cauchy problem in one-dimensional nonlinear viscoelasticity J. Differential Equations 59 1985 388-412
    • (1985) J. Differential Equations , vol.59 , pp. 388-412
    • Hrusa, W.J.1    Nohel, J.A.2
  • 8
    • 0006912068 scopus 로고
    • A model equation for viscoelasticity with a strongly singular kernel
    • Hrusa W.J. Renardy M. A model equation for viscoelasticity with a strongly singular kernel SIAM J. Math. Anal. 19 1988 257-269
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 257-269
    • Hrusa, W.J.1    Renardy, M.2
  • 9
    • 0037229854 scopus 로고    scopus 로고
    • Exponential growth for a fractionally damped wave equation
    • Kirane M. Tatar N.-E. Exponential growth for a fractionally damped wave equation Z. Anal. Anwendungen 22 2003 167-177
    • (2003) Z. Anal. Anwendungen , vol.22 , pp. 167-177
    • Kirane, M.1    Tatar, N.-E.2
  • 11
    • 0028731108 scopus 로고
    • Optimal control for fractionally damped flexible systems
    • Proc. of the Third IEEE Conference, 24-26 Aug. 1994
    • Mbodje B. Montseny G. Audounet J. Benchimol P. Optimal control for fractionally damped flexible systems Proc. of the Third IEEE Conference, 24-26 Aug. 1994 Control Appl. 2 1994 1329-1333
    • (1994) Control Appl. , vol.2 , pp. 1329-1333
    • Mbodje, B.1    Montseny, G.2    Audounet, J.3    Benchimol, P.4
  • 12
    • 0000683386 scopus 로고
    • Frequency domain methods for Volterra equations
    • Nohel J.A. Shea D.F. Frequency domain methods for Volterra equations Adv. Math. 22 1976 278-304
    • (1976) Adv. Math. , vol.22 , pp. 278-304
    • Nohel, J.A.1    Shea, D.F.2
  • 13
    • 0010038374 scopus 로고    scopus 로고
    • Global stability of a fractional partial differential equation
    • Petzeltova H. Prüss J. Global stability of a fractional partial differential equation J. Integral Equations Appl. 12 2000 323-347
    • (2000) J. Integral Equations Appl. , vol.12 , pp. 323-347
    • Petzeltova, H.1    Prüss, J.2
  • 16
    • 0000561994 scopus 로고
    • On a nonlinear hyperbolic Volterra equations
    • Staffans O. On a nonlinear hyperbolic Volterra equations SIAM J. Math. Anal. 11 1980 793-812
    • (1980) SIAM J. Math. Anal. , vol.11 , pp. 793-812
    • Staffans, O.1
  • 17
    • 0344549781 scopus 로고    scopus 로고
    • A wave equation with fractional damping
    • Tatar N.-E. A wave equation with fractional damping Z. Anal. Anwendungen 22 2003 1-10
    • (2003) Z. Anal. Anwendungen , vol.22 , pp. 1-10
    • Tatar, N.-E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.