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Volumn 2016, Issue 1, 2016, Pages

Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions

Author keywords

fixed point theorem; fractional differential equations; impulse; mixed boundary value problem

Indexed keywords


EID: 84961256181     PISSN: 16872762     EISSN: 16872770     Source Type: Journal    
DOI: 10.1186/s13661-016-0573-z     Document Type: Article
Times cited : (97)

References (13)
  • 1
    • 67549135865 scopus 로고    scopus 로고
    • Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations
    • Ahmad, B, Sivasundaram, S: Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations. Nonlinear Anal. Hybrid Syst. 3, 251-258 (2009)
    • (2009) Nonlinear Anal. Hybrid Syst. , vol.3 , pp. 251-258
    • Ahmad, B.1    Sivasundaram, S.2
  • 4
    • 84856291615 scopus 로고    scopus 로고
    • On the concept and existence of solution for impulsive fractional differential equations
    • Feckan, M, Zhou, Y, Wang, JR: On the concept and existence of solution for impulsive fractional differential equations. Commun. Nonlinear Sci. Numer. Simul. 17, 3050-3060 (2012)
    • (2012) Commun. Nonlinear Sci. Numer. Simul. , vol.17 , pp. 3050-3060
    • Feckan, M.1    Zhou, Y.2    Wang, J.R.3
  • 5
    • 84868207712 scopus 로고    scopus 로고
    • Impulsive fractional functional differential equations
    • Guo, TL, Jiang, W: Impulsive fractional functional differential equations. Comput. Math. Appl. 64, 3414-3424 (2012)
    • (2012) Comput. Math. Appl. , vol.64 , pp. 3414-3424
    • Guo, T.L.1    Jiang, W.2
  • 6
    • 84875919964 scopus 로고    scopus 로고
    • Initial value problems for neutral fractional differential equations involving a Riemann-Liouville derivative
    • Jankowski, T: Initial value problems for neutral fractional differential equations involving a Riemann-Liouville derivative. Appl. Math. Comput. 219, 7772-7776 (2013)
    • (2013) Appl. Math. Comput. , vol.219 , pp. 7772-7776
    • Jankowski, T.1
  • 7
    • 84856225431 scopus 로고    scopus 로고
    • Existence and uniqueness of positive solutions to m-point boundary value problem for nonlinear fractional differential equations
    • Liang, SH, Zhang, JH: Existence and uniqueness of positive solutions to m-point boundary value problem for nonlinear fractional differential equations. J. Appl. Math. Comput. 38, 225-241 (2012)
    • (2012) J. Appl. Math. Comput. , vol.38 , pp. 225-241
    • Liang, S.H.1    Zhang, J.H.2
  • 8
    • 33646524725 scopus 로고    scopus 로고
    • Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations
    • Lin, X, Jiang, D: Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations. J. Math. Anal. Appl. 321, 501-514 (2006)
    • (2006) J. Math. Anal. Appl. , vol.321 , pp. 501-514
    • Lin, X.1    Jiang, D.2
  • 9
    • 53949091248 scopus 로고    scopus 로고
    • Impulsive boundary value problems with nonlinear boundary conditions
    • Shen, J, Wang, W: Impulsive boundary value problems with nonlinear boundary conditions. Nonlinear Anal. 69, 4055-4062 (2008)
    • (2008) Nonlinear Anal. , vol.69 , pp. 4055-4062
    • Shen, J.1    Wang, W.2
  • 10
    • 84862824368 scopus 로고    scopus 로고
    • Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations
    • Wang, GT, Agarwal, RP, Cabada, A: Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations. Appl. Math. Lett. 25, 1019-1024 (2012)
    • (2012) Appl. Math. Lett. , vol.25 , pp. 1019-1024
    • Wang, G.T.1    Agarwal, R.P.2    Cabada, A.3
  • 11
    • 84885190980 scopus 로고    scopus 로고
    • Comments on the concept of existence of solution for impulsive fractional differential equations
    • Wang, GT, Ahmad, B, Zhang, LH, Nieto, JJ: Comments on the concept of existence of solution for impulsive fractional differential equations. Commun. Nonlinear Sci. Numer. Simul. 19, 401-403 (2014)
    • (2014) Commun. Nonlinear Sci. Numer. Simul. , vol.19 , pp. 401-403
    • Wang, G.T.1    Ahmad, B.2    Zhang, L.H.3    Nieto, J.J.4
  • 12
    • 78149285834 scopus 로고    scopus 로고
    • Systems of first order impulsive functional differential equations with deviating arguments and nonlinear boundary conditions
    • Wang, GT, Zhang, LH, Song, GX: Systems of first order impulsive functional differential equations with deviating arguments and nonlinear boundary conditions. Nonlinear Anal. TMA 74, 974-982 (2011)
    • (2011) Nonlinear Anal. TMA , vol.74 , pp. 974-982
    • Wang, G.T.1    Zhang, L.H.2    Song, G.X.3
  • 13
    • 84868206100 scopus 로고    scopus 로고
    • On recent developments in the theory of boundary value problems for impulsive fractional differential equations
    • Wang, JR, Zhou, Y, Feckan, M: On recent developments in the theory of boundary value problems for impulsive fractional differential equations. Comput. Math. Appl. 64, 3008-3020 (2012)
    • (2012) Comput. Math. Appl. , vol.64 , pp. 3008-3020
    • Wang, J.R.1    Zhou, Y.2    Feckan, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.