메뉴 건너뛰기




Volumn 62, Issue 3, 2011, Pages 1157-1165

On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces

Author keywords

Fixed point theorems; Fractional differential equations; Impulsive conditions; Nonlocal condition; Sobolev type

Indexed keywords

FIXED POINT THEOREMS; FRACTIONAL DIFFERENTIAL EQUATIONS; IMPULSIVE CONDITIONS; NON-LOCAL CONDITIONS; SOBOLEV;

EID: 79961007517     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2011.03.031     Document Type: Article
Times cited : (67)

References (29)
  • 1
    • 34247323827 scopus 로고    scopus 로고
    • Fractional differential equations as alternative models to nonlinear differential equations
    • DOI 10.1016/j.amc.2006.08.105, PII S0096300306011398
    • B. Bonilla, M. Rivero, L. Rodriguez-Germa, and J.J. Trujillo Fractional differential equations as alternative models to nonlinear differential equations Applied Mathematics and Computation 187 2007 79 88 (Pubitemid 46635706)
    • (2007) Applied Mathematics and Computation , vol.187 , Issue.1 SPEC. ISSUE , pp. 79-88
    • Bonilla, B.1    Rivero, M.2    Rodriguez-Germa, L.3    Trujillo, J.J.4
  • 2
    • 0347763940 scopus 로고    scopus 로고
    • Some applications of nonlinear fractional differential equations and their approximations
    • J.H. He Some applications of nonlinear fractional differential equations and their approximations Bulletin of Science and Technology 15 1999 86 90
    • (1999) Bulletin of Science and Technology , vol.15 , pp. 86-90
    • He, J.H.1
  • 6
    • 70249121999 scopus 로고    scopus 로고
    • Existence of periodic solutions for a nonlinear fractional differential equation
    • Article ID. 324561
    • M. Belmekki, J.J. Nieto, and R. Rodriguez-Lopez Existence of periodic solutions for a nonlinear fractional differential equation Boundary Value Problems 2009 2009 1 18 Article ID. 324561
    • (2009) Boundary Value Problems , vol.2009 , pp. 1-18
    • Belmekki, M.1    Nieto, J.J.2    Rodriguez-Lopez, R.3
  • 9
    • 0030528474 scopus 로고    scopus 로고
    • Existence and uniqueness for a nonlinear fractional differential equation
    • DOI 10.1006/jmaa.1996.0456
    • D. Delbosco, and L. Rodino Existence and uniqueness for a nonlinear fractional differential equation Journal of Mathematical Analysis and Applications 204 1996 609 625 (Pubitemid 126163548)
    • (1996) Journal of Mathematical Analysis and Applications , vol.204 , Issue.2 , pp. 609-625
    • Delbosco, D.1    Rodino, L.2
  • 10
    • 77955515765 scopus 로고    scopus 로고
    • Nonlocal Cauchy problem for fractional evolution equations
    • Y. Zhou, and F. Jiao Nonlocal Cauchy problem for fractional evolution equations Nonlinear Analysis. Real World Applications 11 2010 4465 4475
    • (2010) Nonlinear Analysis. Real World Applications , vol.11 , pp. 4465-4475
    • Zhou, Y.1    Jiao, F.2
  • 11
    • 0002116313 scopus 로고
    • A semilinear Sobolev evolution equation in Banach space
    • H. Brill A semilinear Sobolev evolution equation in Banach space Journal of Differential Equations 24 1977 412 425
    • (1977) Journal of Differential Equations , vol.24 , pp. 412-425
    • Brill, H.1
  • 12
    • 0001424834 scopus 로고
    • Existence and representation theorem for a semilinear Sobolev equation in Banach space
    • R.E. Showalter Existence and representation theorem for a semilinear Sobolev equation in Banach space SIAM Journal on Mathematical Analysis 3 1972 527 543
    • (1972) SIAM Journal on Mathematical Analysis , vol.3 , pp. 527-543
    • Showalter, R.E.1
  • 14
    • 0007371713 scopus 로고    scopus 로고
    • Nonlinear integrodifferential equations of Sobolev type with nonlocal conditions in Banach spaces
    • K. Balachandran, D.G. Park, and Y.C. Kwun Nonlinear integrodifferential equations of Sobolev type with nonlocal conditions in Banach spaces Communications of the Korean Mathematical Society 14 1999 223 231
    • (1999) Communications of the Korean Mathematical Society , vol.14 , pp. 223-231
    • Balachandran, K.1    Park, D.G.2    Kwun, Y.C.3
  • 15
    • 0043190843 scopus 로고    scopus 로고
    • Existence of solutions of nonlinear integrodifferential equations of Sobolev type with nonlocal condition in Banach spaces
    • K. Balachandran, and K. Uchiyama Existence of solutions of nonlinear integrodifferential equations of Sobolev type with nonlocal condition in Banach spaces Proceedings of the Indian Academy of Sciences 110 2000 225 232
    • (2000) Proceedings of the Indian Academy of Sciences , vol.110 , pp. 225-232
    • Balachandran, K.1    Uchiyama, K.2
  • 16
    • 44949272606 scopus 로고
    • Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
    • L. Byszewski Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem Journal of Mathematical Analysis and Applications 162 1991 494 505
    • (1991) Journal of Mathematical Analysis and Applications , vol.162 , pp. 494-505
    • Byszewski, L.1
  • 17
    • 77950369029 scopus 로고    scopus 로고
    • The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces
    • K. Balachandran, and J.J. Trujillo The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces Nonlinear Analysis. Theory, Methods and Applications 72 2010 4587 4593
    • (2010) Nonlinear Analysis. Theory, Methods and Applications , vol.72 , pp. 4587-4593
    • Balachandran, K.1    Trujillo, J.J.2
  • 20
    • 58249118048 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions to impulsive fractional differential equations
    • M. Benchohra, and B.A. Slimani Existence and uniqueness of solutions to impulsive fractional differential equations Electronic Journal of Differential Equations 2009 10 2009 1 11
    • (2009) Electronic Journal of Differential Equations , vol.2009 , Issue.10 , pp. 1-11
    • Benchohra, M.1    Slimani, B.A.2
  • 21
  • 29
    • 67651111936 scopus 로고    scopus 로고
    • On integral solutions of some nonlocal fractional differential equations with nondense domain
    • G.M. Mophou, and G.M. N'Guérékata On integral solutions of some nonlocal fractional differential equations with nondense domain Nonlinear Analysis 71 2009 4668 4675
    • (2009) Nonlinear Analysis , vol.71 , pp. 4668-4675
    • Mophou, G.M.1    N'Guérékata, G.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.