메뉴 건너뛰기




Volumn 216, Issue 1, 2010, Pages 61-69

Existence of mild solutions of some semilinear neutral fractional functional evolution equations with infinite delay

Author keywords

Fractional abstract differential equation; Infinite delay; Mild solution

Indexed keywords

EVOLUTION EQUATIONS; FIXED-POINTS METHOD; FRACTIONAL ABSTRACT DIFFERENTIAL EQUATION; INFINITE DELAY; MILD SOLUTION; RESOLVENT FAMILY; SEMI-LINEAR DIFFERENTIAL EQUATIONS; SEMILINEAR;

EID: 77049086990     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.12.062     Document Type: Article
Times cited : (103)

References (20)
  • 1
    • 67651103488 scopus 로고    scopus 로고
    • Existence results for differential equations with fractional order impulses
    • Agarwal R.P., Benchohra M., and Slimani B.A. Existence results for differential equations with fractional order impulses. Mem. Differ. Eq. Math. Phys. 44 (2008) 1-21
    • (2008) Mem. Differ. Eq. Math. Phys. , vol.44 , pp. 1-21
    • Agarwal, R.P.1    Benchohra, M.2    Slimani, B.A.3
  • 2
    • 59249098784 scopus 로고    scopus 로고
    • Nonlocal Cauchy problem for some fractional abstract differential equations in Banach spaces
    • Anguraj A., Karthikeyan P., and N'Guérékata G.M. Nonlocal Cauchy problem for some fractional abstract differential equations in Banach spaces. Commun. Math. Anal. 6 1 (2009) 31-35
    • (2009) Commun. Math. Anal. , vol.6 , Issue.1 , pp. 31-35
    • Anguraj, A.1    Karthikeyan, P.2    N'Guérékata, G.M.3
  • 3
    • 34848916710 scopus 로고    scopus 로고
    • Existence results for fractional order functional differential equations with infinite delay
    • Benchohra M., Henderson J., Ntouyas S.K., and Ouahab A. Existence results for fractional order functional differential equations with infinite delay. J. Math. Anal. Appl. 338 (2008) 1340-1350
    • (2008) J. Math. Anal. Appl. , vol.338 , pp. 1340-1350
    • Benchohra, M.1    Henderson, J.2    Ntouyas, S.K.3    Ouahab, A.4
  • 4
    • 63449095682 scopus 로고    scopus 로고
    • Nonsmooth analysis and fractional differential equations
    • Devi J.V., and Lakshmikantham V. Nonsmooth analysis and fractional differential equations. Nonlinear Anal. 70 12 (2009) 4151-4157
    • (2009) Nonlinear Anal. , vol.70 , Issue.12 , pp. 4151-4157
    • Devi, J.V.1    Lakshmikantham, V.2
  • 5
    • 33845882236 scopus 로고    scopus 로고
    • A generalized Gronwall inequality and its application to a fractional differential equation
    • Ye H., Gao J., and Ding Y. A generalized Gronwall inequality and its application to a fractional differential equation. J. Math. Anal. Appl. 338 (2007) 1075-1081
    • (2007) J. Math. Anal. Appl. , vol.338 , pp. 1075-1081
    • Ye, H.1    Gao, J.2    Ding, Y.3
  • 6
    • 0003304963 scopus 로고
    • Geometric Theory of Semilinear Parabolic Equations
    • Springer-Verlag, New York/Berlin
    • Henry D. Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Mathematics vol. 8 (1981), Springer-Verlag, New York/Berlin
    • (1981) Lecture Notes in Mathematics , vol.8
    • Henry, D.1
  • 9
    • 0002513583 scopus 로고
    • Phase space for retarded equations with infinite delay
    • Hale J., and Kato J. Phase space for retarded equations with infinite delay. Funkcialaj Ekvacioj 21 (1978) 1141
    • (1978) Funkcialaj Ekvacioj , vol.21 , pp. 1141
    • Hale, J.1    Kato, J.2
  • 10
    • 51349139941 scopus 로고    scopus 로고
    • Theory of fractional differential equations
    • Lakshmikantham V. Theory of fractional differential equations. Nonlinear Anal., TMA 60 10 (2008) 3337-3343
    • (2008) Nonlinear Anal., TMA , vol.60 , Issue.10 , pp. 3337-3343
    • Lakshmikantham, V.1
  • 11
    • 53949111458 scopus 로고    scopus 로고
    • Basic theory of fractional differential equations
    • Lakshmikantham V., and Vatsala A.S. Basic theory of fractional differential equations. Nonlinear Anal., TMA 69 8 (2008) 2677-2682
    • (2008) Nonlinear Anal., TMA , vol.69 , Issue.8 , pp. 2677-2682
    • Lakshmikantham, V.1    Vatsala, A.S.2
  • 12
    • 37349014877 scopus 로고    scopus 로고
    • Theory of fractional differential inequalities and applications
    • Lakshmikantham V., and Vatsala A.S. Theory of fractional differential inequalities and applications. Commun. Appl. Anal. 11 3&4 (2007) 395-402. 99
    • (2007) Commun. Appl. Anal. , vol.11 , Issue.3-4
    • Lakshmikantham, V.1    Vatsala, A.S.2
  • 13
    • 53949107192 scopus 로고    scopus 로고
    • Almost automorphic mild solutions to fractional differential equations
    • Araya D., and Lizama C. Almost automorphic mild solutions to fractional differential equations. Nonlinear Anal., TMA 69 11 (2009) 3692-3705
    • (2009) Nonlinear Anal., TMA , vol.69 , Issue.11 , pp. 3692-3705
    • Araya, D.1    Lizama, C.2
  • 14
    • 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
  • 16
    • 77049085753 scopus 로고    scopus 로고
    • Existence results for some fractional differential equations with nonlocal conditions
    • Mophou G.M., Nakoulima O., and N'Guérékata G.M. Existence results for some fractional differential equations with nonlocal conditions. Nonlinear Studies 17 1 (2010) 15-22
    • (2010) Nonlinear Studies , vol.17 , Issue.1 , pp. 15-22
    • Mophou, G.M.1    Nakoulima, O.2    N'Guérékata, G.M.3
  • 17
    • 71549132795 scopus 로고    scopus 로고
    • Existence of mild solution for some fractional differential equations with nonlocal conditions
    • Mophou G.M., and N'Guérékata G.M. Existence of mild solution for some fractional differential equations with nonlocal conditions. Semigroup Forum 79 2 (2009) 315-322
    • (2009) Semigroup Forum , vol.79 , Issue.2 , pp. 315-322
    • Mophou, G.M.1    N'Guérékata, G.M.2
  • 19
    • 0003334487 scopus 로고
    • Evolutionary Integral Equations and Applications
    • Birkhuser-Verlag
    • Pruss J. Evolutionary Integral Equations and Applications. Monographs Mathematics vol. 87 (1993), Birkhuser-Verlag
    • (1993) Monographs Mathematics , vol.87
    • Pruss, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.