메뉴 건너뛰기




Volumn 64, Issue 10, 2012, Pages 3444-3455

Coincidence degree and fractional boundary value problems with impulses

Author keywords

Boundary value problems; Caputo fractional derivative; Coincidence degree; Existence; Impulses

Indexed keywords

CAPUTO FRACTIONAL DERIVATIVES; COINCIDENCE DEGREE; COINCIDENCE DEGREE THEORY; EXISTENCE; EXISTENCE RESULTS; IMPULSES;

EID: 84865640168     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2012.02.022     Document Type: Article
Times cited : (8)

References (32)
  • 5
    • 77949264980 scopus 로고    scopus 로고
    • A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
    • R.P. Agarwal, M. Benchohra, and S. Hamani A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions Acta Appl. Math. 109 2010 973 1033
    • (2010) Acta Appl. Math. , vol.109 , pp. 973-1033
    • Agarwal, R.P.1    Benchohra, M.2    Hamani, S.3
  • 6
    • 67549135865 scopus 로고    scopus 로고
    • Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations
    • B. Ahmad, and S. Sivasundaram Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations Nonlinear Anal. Hybrid. Syst. 3 2009 251 258
    • (2009) Nonlinear Anal. Hybrid. Syst. , vol.3 , pp. 251-258
    • Ahmad, B.1    Sivasundaram, S.2
  • 7
    • 70350572941 scopus 로고    scopus 로고
    • Existence of solutions for impulsive integral boundary value problems of fractional order
    • B. Ahmad, and S. Sivasundaram Existence of solutions for impulsive integral boundary value problems of fractional order Nonlinear Anal. Hybrid. Syst. 4 2010 134 141
    • (2010) Nonlinear Anal. Hybrid. Syst. , vol.4 , pp. 134-141
    • Ahmad, B.1    Sivasundaram, S.2
  • 8
    • 70349131961 scopus 로고    scopus 로고
    • Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
    • B. Ahmad, and J.J. Nieto Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions Comput. Math. Appl. 58 2009 1838 1843
    • (2009) Comput. Math. Appl. , vol.58 , pp. 1838-1843
    • Ahmad, B.1    Nieto, J.J.2
  • 9
    • 79958860387 scopus 로고    scopus 로고
    • On the solutions for impulsive fractional functional differential equations
    • F. Chen, A. Chen, and X. Wang On the solutions for impulsive fractional functional differential equations Differ. Equ. Dyn. Syst. 17 2009 379 391
    • (2009) Differ. Equ. Dyn. Syst. , vol.17 , pp. 379-391
    • Chen, F.1    Chen, A.2    Wang, X.3
  • 10
    • 79958847070 scopus 로고    scopus 로고
    • Attractivity of fractional functional differential equations
    • F. Chen, and Y. Zhou Attractivity of fractional functional differential equations Comput. Math. Appl. 62 2011 1359 1369
    • (2011) Comput. Math. Appl. , vol.62 , pp. 1359-1369
    • Chen, F.1    Zhou, Y.2
  • 11
    • 74149083504 scopus 로고    scopus 로고
    • Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations
    • C.F. Li, X.N. Luo, and Y. Zhou Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations Comput. Math. Appl. 59 2010 1363 1375
    • (2010) Comput. Math. Appl. , vol.59 , pp. 1363-1375
    • Li, C.F.1    Luo, X.N.2    Zhou, Y.3
  • 12
    • 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 Anal. 71 2009 4668 4675
    • (2009) Nonlinear Anal. , vol.71 , pp. 4668-4675
    • Mophou, G.M.1    N'Guérékata, G.M.2
  • 13
    • 77950189802 scopus 로고    scopus 로고
    • Existence results for the three-point impulsive boundary value problem involving fractional differential equations
    • Y. Tian, and Z. Bai Existence results for the three-point impulsive boundary value problem involving fractional differential equations Comput. Math. Appl. 59 2010 2601 2609
    • (2010) Comput. Math. Appl. , vol.59 , pp. 2601-2609
    • Tian, Y.1    Bai, Z.2
  • 14
    • 78149286185 scopus 로고    scopus 로고
    • Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order
    • G.T. Wang, B. Ahmad, and L.H. Zhang Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order Nonlinear Anal. 74 2011 792 804
    • (2011) Nonlinear Anal. , vol.74 , pp. 792-804
    • Wang, G.T.1    Ahmad, B.2    Zhang, L.H.3
  • 15
    • 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
  • 16
    • 77957376783 scopus 로고    scopus 로고
    • The existence of solutions for a fractional multi-point boundary value problem
    • Z. Bai, and Y. Zhang The existence of solutions for a fractional multi-point boundary value problem Comput. Math. Appl. 60 2010 2364 2372
    • (2010) Comput. Math. Appl. , vol.60 , pp. 2364-2372
    • Bai, Z.1    Zhang, Y.2
  • 17
    • 77955203208 scopus 로고    scopus 로고
    • On solutions of some fractional m-point boundary value problems at resonance
    • Z. Bai On solutions of some fractional m-point boundary value problems at resonance Electron. J. Qual. Theory Differ. Equ. 37 2010 1 15
    • (2010) Electron. J. Qual. Theory Differ. Equ. , vol.37 , pp. 1-15
    • Bai, Z.1
  • 18
    • 78651353033 scopus 로고    scopus 로고
    • The existence of solutions to boundary value problems of fractional differential equations at resonance
    • W. Jiang The existence of solutions to boundary value problems of fractional differential equations at resonance Nonlinear Anal. 74 2011 1987 1994
    • (2011) Nonlinear Anal. , vol.74 , pp. 1987-1994
    • Jiang, W.1
  • 19
    • 79651475091 scopus 로고    scopus 로고
    • Existence results for a coupled system of nonlinear fractional three-point boundary value problems at resonance
    • Y. Zhang, Z. Bai, and T. Feng Existence results for a coupled system of nonlinear fractional three-point boundary value problems at resonance Comput. Math. Appl. 61 2011 1032 1047
    • (2011) Comput. Math. Appl. , vol.61 , pp. 1032-1047
    • Zhang, Y.1    Bai, Z.2    Feng, T.3
  • 20
    • 11344295050 scopus 로고    scopus 로고
    • Existence and multiplicity of solutions for four-point boundary value problems at resonance
    • DOI 10.1016/j.na.2004.10.013, PII S0362546X0400481X
    • Z. Bai, W. Li, and W. Ge Existence and multiplicity of solutions for four-point boundary value problems at resonance Nonlinear Anal. 60 2005 1151 1162 (Pubitemid 40072315)
    • (2005) Nonlinear Analysis, Theory, Methods and Applications , vol.60 , Issue.6 , pp. 1151-1162
    • Bai, Z.1    Li, W.2    Ge, W.3
  • 21
    • 0030078701 scopus 로고    scopus 로고
    • An application of coincidence degree continuation theorem in existence of solutions of impulsive differential equations
    • Y. Dong, and E. Zhou An application of coincidence degree continuation theorem in existence of solutions of impulsive differential equations J. Math. Anal. Appl. 197 1996 875 889
    • (1996) J. Math. Anal. Appl. , vol.197 , pp. 875-889
    • Dong, Y.1    Zhou, E.2
  • 22
    • 12244289666 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions to first-order multipoint boundary value problems
    • B. Li Existence and uniqueness of solutions to first-order multipoint boundary value problems Appl. Math. Lett. 17 2004 1307 1316
    • (2004) Appl. Math. Lett. , vol.17 , pp. 1307-1316
    • Li, B.1
  • 23
    • 0037168943 scopus 로고    scopus 로고
    • Existence of solution for m-point boundary value problems of second-order differential systems with impulses
    • DOI 10.1016/S0096-3003(00)00110-7, PII S0096300300001107
    • L. Liu, and J. Yu Existence of solution for m-point boundary value problems of second-order differential systems with impulses Appl. Math. Comput. 125 2002 155 175 (Pubitemid 33094197)
    • (2002) Applied Mathematics and Computation , vol.125 , Issue.2-3 , pp. 155-175
    • Liu, B.1    Yu, J.2
  • 24
    • 33750837966 scopus 로고    scopus 로고
    • Further results on periodic boundary value problems for nonlinear first order impulsive functional differential equations
    • L. Liu Further results on periodic boundary value problems for nonlinear first order impulsive functional differential equations J. Math. Anal. Appl. 327 2007 435 452
    • (2007) J. Math. Anal. Appl. , vol.327 , pp. 435-452
    • Liu, L.1
  • 25
    • 67349265514 scopus 로고    scopus 로고
    • Existence of solutions for weighted p (r) -Laplacian impulsive system periodic-like boundary value problems
    • Q. Zhang, X. Liu, and Z. Qiu Existence of solutions for weighted p (r) -Laplacian impulsive system periodic-like boundary value problems Nonlinear Anal. 71 2009 3596 3611
    • (2009) Nonlinear Anal. , vol.71 , pp. 3596-3611
    • Zhang, Q.1    Liu, X.2    Qiu, Z.3
  • 26
    • 84856291615 scopus 로고    scopus 로고
    • On the concept and existence of solution for impulsive fractional differential equations
    • M. Feckan, Y. Zhou, and J. Wang On the concept and existence of solution for impulsive fractional differential equations Commun. Nonlinear Sci. Numer. Simul. 17 2012 3050 3060
    • (2012) Commun. Nonlinear Sci. Numer. Simul. , vol.17 , pp. 3050-3060
    • Feckan, M.1    Zhou, Y.2    Wang, J.3
  • 27
    • 84255168779 scopus 로고    scopus 로고
    • On the new concept of solutions and existence results for impulsive fractional evolution equations
    • J. Wang, M. Feckan, and Y. Zhou On the new concept of solutions and existence results for impulsive fractional evolution equations Dyn. Partial Differ. Equ. 8 4 2011 345 361
    • (2011) Dyn. Partial Differ. Equ. , vol.8 , Issue.4 , pp. 345-361
    • Wang, J.1    Feckan, M.2    Zhou, Y.3
  • 28
    • 74149092568 scopus 로고    scopus 로고
    • Existence of fractional neutral functional differential equations
    • R.P. Agarwal, Y. Zhou, and Y. He Existence of fractional neutral functional differential equations Comput. Math. Appl. 59 2010 1095 1100
    • (2010) Comput. Math. Appl. , vol.59 , pp. 1095-1100
    • Agarwal, R.P.1    Zhou, Y.2    He, Y.3
  • 29
    • 67349177003 scopus 로고    scopus 로고
    • Existence and uniqueness for fractional neutural differential equations with infinite delay
    • Y. Zhou, F. Jiao, and J. Li Existence and uniqueness for fractional neutural 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
  • 30
    • 33645152919 scopus 로고    scopus 로고
    • Positive solutions for boundary-value problems of nonlinear fractional differential equations
    • S. Zhang Positive solutions for boundary value problem of nonlinear fractional differential equations Electron. J. Differential Equations 2006 2006 1 12 (Pubitemid 43448954)
    • (2006) Electronic Journal of Differential Equations , vol.2006 , pp. 1-12
    • Zhang, S.1
  • 32
    • 0003295303 scopus 로고
    • Topological degree methods in nonlinear boundary value problems
    • Amer. Math. Soc. Providence, RI
    • J. Mawhin Topological degree methods in nonlinear boundary value problems NSF-CBMS Regional Conference Series in Math 1979 Amer. Math. Soc. Providence, RI
    • (1979) NSF-CBMS Regional Conference Series in Math
    • Mawhin, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.