메뉴 건너뛰기




Volumn 4, Issue 1, 2010, Pages 32-43

Existence results for impulsive neutral differential and integrodifferential equations with nonlocal conditions via fractional operators

Author keywords

Fixed point; Impulsive differential equations; Nonlocal conditions

Indexed keywords

ANALYTIC SEMIGROUP; EXISTENCE RESULTS; EXISTENCE THEOREM; FIRST ORDER; FIXED POINT; FIXED POINT THEOREMS; FRACTIONAL OPERATORS; IMPULSIVE DIFFERENTIAL EQUATIONS; MILD SOLUTION; NONLOCAL CONDITIONS; NONLOCAL INITIAL CONDITIONS;

EID: 70350564213     PISSN: 1751570X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nahs.2009.07.004     Document Type: Article
Times cited : (23)

References (24)
  • 4
    • 29144511302 scopus 로고    scopus 로고
    • Impulsive partial neutral differential equations
    • Hernández E., and Henriquez H.R. Impulsive partial neutral differential equations. Appl. Math. Lett. 19 3 (2006) 215-222
    • (2006) Appl. Math. Lett. , vol.19 , Issue.3 , pp. 215-222
    • Hernández, E.1    Henriquez, H.R.2
  • 5
    • 33947310146 scopus 로고    scopus 로고
    • Existence of solutions for a class of impulsive partial neutral functional differential equations
    • Hernández E., Henriquez H.R., and Marco R. Existence of solutions for a class of impulsive partial neutral functional differential equations. J. Math. Anal. Appl. 331 2 (2007) 1135-1158
    • (2007) J. Math. Anal. Appl. , vol.331 , Issue.2 , pp. 1135-1158
    • Hernández, E.1    Henriquez, H.R.2    Marco, R.3
  • 6
    • 0003168187 scopus 로고    scopus 로고
    • Nonlinear impulsive evolution equations
    • Liu J.H. Nonlinear impulsive evolution equations. Dynam. Contin. Discrete Impuls. Syst. 6 1 (1999) 77-85
    • (1999) Dynam. Contin. Discrete Impuls. Syst. , vol.6 , Issue.1 , pp. 77-85
    • Liu, J.H.1
  • 7
    • 0002543908 scopus 로고    scopus 로고
    • Impulsive evolution systems: Main results and new trends
    • Rogovchenko Y.V. Impulsive evolution systems: Main results and new trends. Dynam. Contin. Discrete Impuls. Syst. 3 1 (1997) 57-88
    • (1997) Dynam. Contin. Discrete Impuls. Syst. , vol.3 , Issue.1 , pp. 57-88
    • Rogovchenko, Y.V.1
  • 8
    • 0031084539 scopus 로고    scopus 로고
    • Nonlinear impulse evolution systems and applications to population models
    • Rogovchenko Y.V. Nonlinear impulse evolution systems and applications to population models. J. Math. Anal. Appl. 207 2 (1997) 300-315
    • (1997) J. Math. Anal. Appl. , vol.207 , Issue.2 , pp. 300-315
    • Rogovchenko, Y.V.1
  • 9
    • 67349170630 scopus 로고    scopus 로고
    • Existence of solutions for a class of neutral partial differential equations with nonlocal conditions in the a-norm
    • 10.1016/j.na.2009.02.035
    • Chang J.C., and Liu H. Existence of solutions for a class of neutral partial differential equations with nonlocal conditions in the a-norm. Nonlinear Anal. 71 (2009) 3759-3768 10.1016/j.na.2009.02.035
    • (2009) Nonlinear Anal. , vol.71 , pp. 3759-3768
    • Chang, J.C.1    Liu, H.2
  • 10
    • 67651120004 scopus 로고    scopus 로고
    • Existence for impulsive neutral integrodifferential inclusions with nonlocal initial conditions via fractional operators
    • 10.1016/j.na.2009.02.121
    • Chang Y.K., Anguraj A., and Karthikeyan K. Existence for impulsive neutral integrodifferential inclusions with nonlocal initial conditions via fractional operators. Nonlinear Anal. (2009) 10.1016/j.na.2009.02.121
    • (2009) Nonlinear Anal.
    • Chang, Y.K.1    Anguraj, A.2    Karthikeyan, K.3
  • 11
    • 67651148207 scopus 로고    scopus 로고
    • Existence of solutions for impulsive neutral integrodifferential inclusions with nonlocal initial conditions via fractional operators
    • 10.1080/01630560902841146
    • Chang Y.K., and Nieto J.J. Existence of solutions for impulsive neutral integrodifferential inclusions with nonlocal initial conditions via fractional operators. Numer. Funct. Anal. Optim. 30 (2009) 227-244 10.1080/01630560902841146
    • (2009) Numer. Funct. Anal. Optim. , vol.30 , pp. 227-244
    • Chang, Y.K.1    Nieto, J.J.2
  • 12
    • 34247396632 scopus 로고    scopus 로고
    • Existence and regularity in the α-norm for some neutral partial differential equations with nonlocal conditions
    • Ezzinbi K., Fu X., and Hilal K. Existence and regularity in the α-norm for some neutral partial differential equations with nonlocal conditions. Nonlinear Anal. 67 (2007) 1613-1622
    • (2007) Nonlinear Anal. , vol.67 , pp. 1613-1622
    • Ezzinbi, K.1    Fu, X.2    Hilal, K.3
  • 13
    • 0038137295 scopus 로고    scopus 로고
    • Existence of solutions for neutral functional differential evolutions equations with nonlocal conditions
    • Fu X., and Ezzinbi K. Existence of solutions for neutral functional differential evolutions equations with nonlocal conditions. Nonlinear Anal. 54 (2003) 215-227
    • (2003) Nonlinear Anal. , vol.54 , pp. 215-227
    • Fu, X.1    Ezzinbi, K.2
  • 14
    • 42949148048 scopus 로고    scopus 로고
    • Existence for neutral impulsive differential inclusions with nonlocal conditions
    • Fu X., and Cao Y. Existence for neutral impulsive differential inclusions with nonlocal conditions. Nonlinear Anal. 68 (2008) 3707-3718
    • (2008) Nonlinear Anal. , vol.68 , pp. 3707-3718
    • Fu, X.1    Cao, Y.2
  • 15
    • 44949272606 scopus 로고
    • Theorems about the existence and uniqueness of a solution of a semilinear evolution nonlocal Cauchy problem
    • Byszewski L. Theorems about the existence and uniqueness of a solution of a semilinear evolution nonlocal Cauchy problem. J. Math. Anal. Appl. 162 (1991) 496-505
    • (1991) J. Math. Anal. Appl. , vol.162 , pp. 496-505
    • Byszewski, L.1
  • 16
    • 0000297319 scopus 로고
    • Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
    • Deng K. Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions. J. Math. Anal. Appl. 179 (1993) 630-637
    • (1993) J. Math. Anal. Appl. , vol.179 , pp. 630-637
    • Deng, K.1
  • 17
    • 84948514180 scopus 로고
    • Theorems about existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space
    • Byszewski L., and Lakshmikantham V. Theorems about existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space. Appl. Anal. 40 (1990) 11-19
    • (1990) Appl. Anal. , vol.40 , pp. 11-19
    • Byszewski, L.1    Lakshmikantham, V.2
  • 18
    • 0142078201 scopus 로고    scopus 로고
    • Impulsive functional differential equations with nonlocal conditions
    • Akca H., Boucherif A., and Covachev V. Impulsive functional differential equations with nonlocal conditions. Int. J. Math. Math. Sci. 29 5 (2002) 251-256
    • (2002) Int. J. Math. Math. Sci. , vol.29 , Issue.5 , pp. 251-256
    • Akca, H.1    Boucherif, A.2    Covachev, V.3
  • 19
    • 59849097148 scopus 로고    scopus 로고
    • Existence of solutions for impulsive neutral functional differential equations with nonlocal conditions
    • Anguraj A., and Karthikeyan K. Existence of solutions for impulsive neutral functional differential equations with nonlocal conditions. Nonlinear Anal. 70 7 (2009) 2717-2721
    • (2009) Nonlinear Anal. , vol.70 , Issue.7 , pp. 2717-2721
    • Anguraj, A.1    Karthikeyan, K.2
  • 20
    • 48749130593 scopus 로고    scopus 로고
    • Existence results for non-densely defined neutral impulsive differential inclusions with nonlocal conditions
    • Chang Y.-K., Anguraj A., and Mallika Arjunan M. Existence results for non-densely defined neutral impulsive differential inclusions with nonlocal conditions. J. Appl. Math. Comput. 28 1 (2008) 79-91
    • (2008) J. Appl. Math. Comput. , vol.28 , Issue.1 , pp. 79-91
    • Chang, Y.-K.1    Anguraj, A.2    Mallika Arjunan, M.3
  • 22
    • 0001954809 scopus 로고
    • On a fixed point principle
    • Sadovskii B.N. On a fixed point principle. Funct. Anal. Appl. 1 2 (1967) 74-76
    • (1967) Funct. Anal. Appl. , vol.1 , Issue.2 , pp. 74-76
    • Sadovskii, B.N.1
  • 23
    • 84968507705 scopus 로고
    • Existence, stability and compactness with α-norm for partial functional differential equations
    • Travis C.C., and Webb G.F. Existence, stability and compactness with α-norm for partial functional differential equations. Trans. Amer. Math. Soc. 240 (1978) 129-143
    • (1978) Trans. Amer. Math. Soc. , vol.240 , pp. 129-143
    • Travis, C.C.1    Webb, G.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.