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Volumn 62, Issue 3, 2011, Pages 1303-1311

Solutions to the Cauchy problem for differential equations in Banach spaces with fractional order

Author keywords

Banach space; Cone; Fractional differential equation; Monotone iterative technique

Indexed keywords

CAUCHY PROBLEMS; DIFFERENTIAL EQUATIONS IN BANACH SPACE; EXISTENCE OF SOLUTIONS; EXISTENCE THEOREM; FRACTIONAL DIFFERENTIAL EQUATIONS; FRACTIONAL ORDER; MONOTONE ITERATIVE TECHNIQUES;

EID: 79960990851     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2011.04.027     Document Type: Article
Times cited : (26)

References (18)
  • 1
    • 77950369029 scopus 로고    scopus 로고
    • The nonlocal Cauchy problem for nonlinear fractional integro-differential equations in Banach spaces
    • K. Balachandran, and J.J. Trujillo The nonlocal Cauchy problem for nonlinear fractional integro-differential equations in Banach spaces Nonlinear Anal. 72 2010 4587 4593
    • (2010) Nonlinear Anal. , vol.72 , pp. 4587-4593
    • Balachandran, K.1    Trujillo, J.J.2
  • 3
    • 78149482884 scopus 로고    scopus 로고
    • On the existence of mild solutions to some semilinear fractional integro-differential equations
    • T. Diagana, G.M. Mophou, and G.M. N'Guérékata On the existence of mild solutions to some semilinear fractional integro-differential equations Electron. J. Qual. Theory Differ. Equ. 58 2010 1 17
    • (2010) Electron. J. Qual. Theory Differ. Equ. , vol.58 , pp. 1-17
    • Diagana, T.1    Mophou, G.M.2    N'Guérékata, G.M.3
  • 4
    • 58149197948 scopus 로고    scopus 로고
    • Fractional functional differential inclusions with finite delay
    • J. Henderson, and A. Ouahab Fractional functional differential inclusions with finite delay Nonlinear Anal. 70 2009 2091 2105
    • (2009) Nonlinear Anal. , vol.70 , pp. 2091-2105
    • Henderson, J.1    Ouahab, A.2
  • 5
    • 74249088631 scopus 로고    scopus 로고
    • Impulsive differential inclusions with fractional order
    • J. Henderson, and A. Ouahab Impulsive differential inclusions with fractional order Comput. Math. Appl. 59 2010 1191 1226
    • (2010) Comput. Math. Appl. , vol.59 , pp. 1191-1226
    • Henderson, J.1    Ouahab, A.2
  • 6
    • 79955006527 scopus 로고    scopus 로고
    • Mild solutions for fractional differential equations with nonlocal conditions
    • 9 pages, Article ID 287861
    • F. Li, Mild solutions for fractional differential equations with nonlocal conditions, Advances Diff. Equ. 2010, 9 pages, Article ID 287861.
    • (2010) Advances Diff. Equ.
    • Li, F.1
  • 7
    • 3042775749 scopus 로고    scopus 로고
    • Solvability of the Cauchy problem for infinite delay equations
    • J. Liang, and T.J. Xiao Solvability of the Cauchy problem for infinite delay equations Nonlinear Anal. 58 2004 271 297
    • (2004) Nonlinear Anal. , vol.58 , pp. 271-297
    • Liang, J.1    Xiao, T.J.2
  • 8
    • 80052686015 scopus 로고    scopus 로고
    • Solutions to fractional differential equations with nonlocal initial condition in Banach Spaces
    • 10 pages, Article ID 340349
    • Z.W. Lv, J. Liang, T.J. Xiao, Solutions to fractional differential equations with nonlocal initial condition in Banach Spaces, Advances Diff. Equ. 2010, 10 pages, Article ID 340349.
    • (2010) Advances Diff. Equ.
    • Lv, Z.W.1    Liang, J.2    Xiao, T.J.3
  • 9
    • 71549128004 scopus 로고    scopus 로고
    • Existence and uniqueness of mild solutions to impulsive fractional differential equations
    • G.M. Mophou Existence and uniqueness of mild solutions to impulsive fractional differential equations Nonlinear Anal. 72 2010 1604 1615
    • (2010) Nonlinear Anal. , vol.72 , pp. 1604-1615
    • Mophou, G.M.1
  • 10
    • 58049173648 scopus 로고    scopus 로고
    • Multi-term fractional differential equation in reflexive Banach space
    • H.A.H. Salem Multi-term fractional differential equation in reflexive Banach space Math. Comput. Modelling 49 2009 829 834
    • (2009) Math. Comput. Modelling , vol.49 , pp. 829-834
    • Salem, H.A.H.1
  • 11
    • 67349086967 scopus 로고    scopus 로고
    • Existence and uniqueness for p-type fractional neutral differential equations
    • Y. Zhou, F. Jiao, and J. Li Existence and uniqueness for p-type fractional neutral differential equations Nonlinear Anal. 71 2009 2724 2733
    • (2009) Nonlinear Anal. , vol.71 , pp. 2724-2733
    • Zhou, Y.1    Jiao, F.2    Li, J.3
  • 12
    • 67349177003 scopus 로고    scopus 로고
    • Existence and uniqueness for fractional neutral differential equations with infinite delay
    • Y. Zhou, F. Jiao, and J. Li Existence and uniqueness for fractional neutral differential equations with infinite delay Nonlinear Anal. 71 2009 3249 3256
    • (2009) Nonlinear Anal. , vol.71 , pp. 3249-3256
    • Zhou, Y.1    Jiao, F.2    Li, J.3
  • 13
    • 74149093181 scopus 로고    scopus 로고
    • Existence of mild solutions for fractional neutral evolution equations
    • Y. Zhou, and F. Jiao Existence of mild solutions for fractional neutral evolution equations Comput. Math. Appl. 59 2010 1063 1077
    • (2010) Comput. Math. Appl. , vol.59 , pp. 1063-1077
    • Zhou, Y.1    Jiao, F.2
  • 14
    • 45049084850 scopus 로고    scopus 로고
    • General uniqueness and monotone iterative technique for fractional differential equations
    • V. Lakshmikantham, and A.S. Vatsala General uniqueness and monotone iterative technique for fractional differential equations Appl. Math. Lett. 21 2008 828 834
    • (2008) Appl. Math. Lett. , vol.21 , pp. 828-834
    • Lakshmikantham, V.1    Vatsala, A.S.2
  • 15
    • 72149110341 scopus 로고    scopus 로고
    • Monotone iterative technique and existence results for fractional differential equations
    • F.A. McRae Monotone iterative technique and existence results for fractional differential equations Nonlinear Anal. 71 2009 6093 6096
    • (2009) Nonlinear Anal. , vol.71 , pp. 6093-6096
    • McRae, F.A.1
  • 18
    • 53949111458 scopus 로고    scopus 로고
    • Basic theory of fractional differential equalities
    • V. Lakshmikantham, and A.S. Vatsala Basic theory of fractional differential equalities Nonlinear Anal. 69 2008 2677 2682
    • (2008) Nonlinear Anal. , vol.69 , pp. 2677-2682
    • Lakshmikantham, V.1    Vatsala, A.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.