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Volumn 22, Issue 6, 2009, Pages 865-870

S-asymptotically ω-periodic solutions of semilinear fractional integro-differential equations

Author keywords

Fractional integral; S asymptotically periodic function; Semilinear integro differential equations; Solution operator

Indexed keywords

FRACTIONAL EQUATIONS; FRACTIONAL INTEGRAL; FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS; LINEAR OPERATORS; PERIODIC SOLUTIONS; SEMILINEAR INTEGRO-DIFFERENTIAL EQUATIONS;

EID: 67349236203     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2008.07.013     Document Type: Article
Times cited : (118)

References (30)
  • 1
    • 33644787625 scopus 로고    scopus 로고
    • Fractional differential equations driven by Levy noise
    • Ahn V.V., and McVinish R. Fractional differential equations driven by Levy noise. J. Appl. Stoch. Anal. 16 2 (2003) 97-119
    • (2003) J. Appl. Stoch. Anal. , vol.16 , Issue.2 , pp. 97-119
    • Ahn, V.V.1    McVinish, R.2
  • 2
    • 53949107192 scopus 로고    scopus 로고
    • Almost automorphic mild solutions to fractional differential equations
    • in press doi:10.1016/j.na.2007.10.004
    • D. Araya, C. Lizama, Almost automorphic mild solutions to fractional differential equations, Nonlinear Anal., in press (doi:10.1016/j.na.2007.10.004)
    • Nonlinear Anal
    • Araya, D.1    Lizama, C.2
  • 5
    • 3042586902 scopus 로고
    • Existence and regularity results for an integral equation with infinite delay in a Banach space
    • Clément Ph., and Da Prato G. Existence and regularity results for an integral equation with infinite delay in a Banach space. Integral Equations Operator Theory 11 (1988) 480-500
    • (1988) Integral Equations Operator Theory , vol.11 , pp. 480-500
    • Clément, Ph.1    Da Prato, G.2
  • 6
    • 53249107043 scopus 로고    scopus 로고
    • Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations
    • Cuesta E. Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations. Discrete Contin. Dyn. Syst. (Supplement) (2007) 277-285
    • (2007) Discrete Contin. Dyn. Syst. (Supplement) , pp. 277-285
    • Cuesta, E.1
  • 7
    • 33646398146 scopus 로고    scopus 로고
    • Convolution quadrature time discretization of fractional diffusion-wave equations
    • Cuesta E., Lubich Ch., and Palencia C. Convolution quadrature time discretization of fractional diffusion-wave equations. Math. Comput. 75 (2006) 673-696
    • (2006) Math. Comput. , vol.75 , pp. 673-696
    • Cuesta, E.1    Lubich, Ch.2    Palencia, C.3
  • 8
    • 4544380424 scopus 로고    scopus 로고
    • A numerical method for an integro-differential equation with memory in Banach spaces: Qualitative properties
    • Cuesta E., and Palencia C. A numerical method for an integro-differential equation with memory in Banach spaces: Qualitative properties. SIAM, J. Numer. Anal. 41 (2003) 1232-1241
    • (2003) SIAM, J. Numer. Anal. , vol.41 , pp. 1232-1241
    • Cuesta, E.1    Palencia, C.2
  • 9
    • 61349156728 scopus 로고    scopus 로고
    • Pseudo-almost periodic solutions for abstract partial functional differential equations
    • 10.1016/j.aml.2008.06.026
    • Cuevas C., and Hernández E. Pseudo-almost periodic solutions for abstract partial functional differential equations. Appl. Math. Lett. (2008) 10.1016/j.aml.2008.06.026
    • (2008) Appl. Math. Lett.
    • Cuevas, C.1    Hernández, E.2
  • 10
    • 0035400758 scopus 로고    scopus 로고
    • Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non dense domain
    • Cuevas C., and Pinto M. Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non dense domain. Nonlinear Anal. 45 (2001) 73-83
    • (2001) Nonlinear Anal. , vol.45 , pp. 73-83
    • Cuevas, C.1    Pinto, M.2
  • 11
    • 53249152135 scopus 로고    scopus 로고
    • Almost automorphic solutions to a class of semilinear fractional differential equations
    • 10.1016/j.aml.2008.02.001
    • Cuevas C., and Lizama C. Almost automorphic solutions to a class of semilinear fractional differential equations. Appl. Math. Lett. (2008) 10.1016/j.aml.2008.02.001
    • (2008) Appl. Math. Lett.
    • Cuevas, C.1    Lizama, C.2
  • 12
    • 53249141916 scopus 로고    scopus 로고
    • Almost automorphic solutions to semilinear evolution equations
    • Diagana T., and N'Guérékata G.M. Almost automorphic solutions to semilinear evolution equations. Funct. Differ. Equ. 13 2 (2006) 195-206
    • (2006) Funct. Differ. Equ. , vol.13 , Issue.2 , pp. 195-206
    • Diagana, T.1    N'Guérékata, G.M.2
  • 14
    • 1942542248 scopus 로고    scopus 로고
    • Cauchy problem for fractional diffusion equations
    • Eidelman S.D., and Kochubei A.N. Cauchy problem for fractional diffusion equations. J. Differential Equations 199 (2004) 211-255
    • (2004) J. Differential Equations , vol.199 , pp. 211-255
    • Eidelman, S.D.1    Kochubei, A.N.2
  • 15
    • 53949115946 scopus 로고
    • North-Holland, Amsterdam, New York, Oxford
    • Fattorini H.O. Second Order Linear Differential equations in Banach Spaces. North-Holland Math. Studies vol. 108 (1985), North-Holland, Amsterdam, New York, Oxford
    • (1985) North-Holland Math. Studies , vol.108
    • Fattorini, H.O.1
  • 16
    • 23744495603 scopus 로고    scopus 로고
    • Almost automorphic solutions of semilinear evolution equations
    • Goldstein J.A., and N'Guérékata G.M. Almost automorphic solutions of semilinear evolution equations. Proc. Amer. Math. Soc. 133 8 (2005) 2401-2408
    • (2005) Proc. Amer. Math. Soc. , vol.133 , Issue.8 , pp. 2401-2408
    • Goldstein, J.A.1    N'Guérékata, G.M.2
  • 17
    • 0002847893 scopus 로고    scopus 로고
    • Fractional calculus: Integral and differential equations of fractional order
    • Carpinteri A., and Mainardi F. (Eds), Springer-Verlag, Vienna, New York
    • Gorenflo R., and Mainardi F. Fractional calculus: Integral and differential equations of fractional order. In: Carpinteri A., and Mainardi F. (Eds). Fractals and Fractional Calculus in Continuum Mechanics (1997), Springer-Verlag, Vienna, New York 223-276
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics , pp. 223-276
    • Gorenflo, R.1    Mainardi, F.2
  • 18
    • 41949103912 scopus 로고
    • Asymptotically almost periodic solutions of differential equations
    • Grimmer R.C. Asymptotically almost periodic solutions of differential equations. SIAM J. Appl. Math. 17 (1969) 109-115
    • (1969) SIAM J. Appl. Math. , vol.17 , pp. 109-115
    • Grimmer, R.C.1
  • 20
    • 17144453621 scopus 로고    scopus 로고
    • Existence and uniqueness of almost automorphic mild solutions of some semilinear abstract differential equations
    • N'Guérékata G.M. Existence and uniqueness of almost automorphic mild solutions of some semilinear abstract differential equations. Semigroup Forum 69 (2004) 80-86
    • (2004) Semigroup Forum , vol.69 , pp. 80-86
    • N'Guérékata, G.M.1
  • 21
    • 33745148633 scopus 로고    scopus 로고
    • Massera-type theorem and asymptotically periodic logistic equations
    • Haiyin G., Wang K., Fengying W., and Xiaohua D. Massera-type theorem and asymptotically periodic logistic equations. Nonlinear Anal. RWA 7 (2006) 1268-1283
    • (2006) Nonlinear Anal. RWA , vol.7 , pp. 1268-1283
    • Haiyin, G.1    Wang, K.2    Fengying, W.3    Xiaohua, D.4
  • 22
    • 41949083295 scopus 로고    scopus 로고
    • On S-asymptotically ω-periodic functions on Banach spaces and applications
    • Henríquez H., Pierri M., and Táboas P. On S-asymptotically ω-periodic functions on Banach spaces and applications. J. Math. Anal. Appl. 343 2 (2008) 1119-1130
    • (2008) J. Math. Anal. Appl. , vol.343 , Issue.2 , pp. 1119-1130
    • Henríquez, H.1    Pierri, M.2    Táboas, P.3
  • 23
    • 0030304486 scopus 로고    scopus 로고
    • Approximation of abstract functional differential equations with unbounded delay
    • Henríquez H. Approximation of abstract functional differential equations with unbounded delay. Indian J. Pure Appl. Math. 27 4 (1996) 357-386
    • (1996) Indian J. Pure Appl. Math. , vol.27 , Issue.4 , pp. 357-386
    • Henríquez, H.1
  • 26
    • 84968468465 scopus 로고
    • Asymptotically periodic solutions of a class of second order nonlinear differential equations
    • Liang Z.C. Asymptotically periodic solutions of a class of second order nonlinear differential equations. Proc. Amer. Math. Soc. 99 4 (1987) 693-699
    • (1987) Proc. Amer. Math. Soc. , vol.99 , Issue.4 , pp. 693-699
    • Liang, Z.C.1
  • 27
    • 0034652891 scopus 로고    scopus 로고
    • Regularized solutions for abstract Volterra equations
    • Lizama C. Regularized solutions for abstract Volterra equations. J. Math. Anal. Appl. 243 (2000) 278-292
    • (2000) J. Math. Anal. Appl. , vol.243 , pp. 278-292
    • Lizama, C.1
  • 28
    • 67349126666 scopus 로고
    • Birkhäuser-Verlag
    • Prüss J. Evolutionary Integral Equations and Applications. Monographs Math vol. 87 (1993), Birkhäuser-Verlag
    • (1993) Monographs Math , vol.87
    • Prüss, J.1
  • 29
    • 84966253390 scopus 로고
    • Asymptotic almost periodicity of solutions of a system of differential equations
    • Utz W.R., and Waltman P. Asymptotic almost periodicity of solutions of a system of differential equations. Proc. Amer. Math. Soc. 18 (1967) 597-601
    • (1967) Proc. Amer. Math. Soc. , vol.18 , pp. 597-601
    • Utz, W.R.1    Waltman, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.