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Volumn 2012, Issue , 2014, Pages

Boundary value problems for fractional differential equations with three-point fractional integral boundary conditions

Author keywords

Boundary value problem; Caputo fractional derivative; Existence; Riemann Liouville fractional integral

Indexed keywords


EID: 84925881795     PISSN: 16871839     EISSN: 16871847     Source Type: Journal    
DOI: 10.1186/1687-1847-2012-93     Document Type: Article
Times cited : (40)

References (21)
  • 7
    • 76749131977 scopus 로고    scopus 로고
    • Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations
    • Ahmad, B: Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations. Appl. Math. Lett. 23, 390-394 (2010)
    • (2010) Appl. Math. Lett , vol.23 , pp. 390-394
    • Ahmad, B.1
  • 8
    • 77955713929 scopus 로고    scopus 로고
    • On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
    • Ahmad, B, Sivasundaram, S: On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order. Appl. Math. Comput. 217, 480-487 (2010)
    • (2010) Appl. Math. Comput , vol.217 , pp. 480-487
    • Ahmad, B.1    Sivasundaram, S.2
  • 9
    • 70350714213 scopus 로고    scopus 로고
    • Existence of positive solution for singular fractional differential equation
    • Bai, Z, Qiu, T: Existence of positive solution for singular fractional differential equation. Appl. Math. Comput. 215, 2761-2767 (2009)
    • (2009) Appl. Math. Comput , vol.215 , pp. 2761-2767
    • Bai, Z.1    Qiu, T.2
  • 10
    • 0030528474 scopus 로고    scopus 로고
    • Existence and uniqueness for a nonlinear fractional differential equation
    • Delbosco, D, Rodino, L: Existence and uniqueness for a nonlinear fractional differential equation. J. Math. Anal. Appl. 204, 609-625 (1996)
    • (1996) J. Math. Anal. Appl , vol.204 , pp. 609-625
    • Delbosco, D.1    Rodino, L.2
  • 11
    • 77950188013 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations
    • Deng, J, Ma, L: Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. Appl. Math. Lett. 23, 676-680 (2010)
    • (2010) Appl. Math. Lett , vol.23 , pp. 676-680
    • Deng, J.1    Ma, L.2
  • 12
    • 84878533620 scopus 로고    scopus 로고
    • The existence of solutions for a nonlinear fractional multi-point boundary value problem at resonance
    • Article ID 401803
    • Han, X, Wang, T: The existence of solutions for a nonlinear fractional multi-point boundary value problem at resonance. Int. J. Differ. Equ. 2011, Article ID 401803 (2011)
    • (2011) Int. J. Differ. Equ
    • Han, X.1    Wang, T.2
  • 13
    • 78651353033 scopus 로고    scopus 로고
    • The existence of solutions to boundary value problems of fractional differential equations at resonance
    • Jiang, W: The existence of solutions to boundary value problems of fractional differential equations at resonance. Nonlinear Anal. 74, 1987-1994 (2011)
    • (2011) Nonlinear Anal , vol.74 , pp. 1987-1994
    • Jiang, W.1
  • 14
    • 77953686973 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations
    • Rehman, MU, Khan, RA: Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations. Appl. Math. Lett. 23, 1038-1044 (2010)
    • (2010) Appl. Math. Lett , vol.23 , pp. 1038-1044
    • Rehman, M.U.1    Khan, R.A.2
  • 15
    • 84863258040 scopus 로고    scopus 로고
    • The existence of solutions for a fractional 2m-point boundary value problems
    • Article ID 841349
    • Wang, G, Liu, W, Yang, J, Zhu, S, Zheng, T: The existence of solutions for a fractional 2m-point boundary value problems. J. Appl. Math. 2012, Article ID 841349 (2012)
    • (2012) J. Appl. Math
    • Wang, G.1    Liu, W.2    Yang, J.3    Zhu, S.4    Zheng, T.5
  • 16
    • 84863447182 scopus 로고    scopus 로고
    • Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral conditions
    • Ahmad, B, Nieto, JJ: Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral conditions. Bound. Value Probl. 2011, 36 (2011)
    • (2011) Bound. Value Probl , vol.2011 , pp. 36
    • Ahmad, B.1    Nieto, J.J.2
  • 17
    • 84868204874 scopus 로고    scopus 로고
    • Sequential fractional differential equations with three-point boundary conditions
    • (in press)
    • Ahmad, B, Nieto, JJ: Sequential fractional differential equations with three-point boundary conditions. Comput. Math. Appl. (in press). http://dx.doi.org/10.1016/j.camwa.2012.02.036
    • Comput. Math. Appl
    • Ahmad, B.1    Nieto, J.J.2
  • 18
    • 84855913422 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions for nonlinear fractional differential equations with non-separated type integral boundary conditions
    • Ahmad, B, Nieto, JJ, Alsaedi, A: Existence and uniqueness of solutions for nonlinear fractional differential equations with non-separated type integral boundary conditions. Acta Math. Sci., Ser. B 31(6), 2122-2130 (2011)
    • (2011) Acta Math. Sci., Ser. B , vol.31 , Issue.6 , pp. 2122-2130
    • Ahmad, B.1    Nieto, J.J.2    Alsaedi, A.3
  • 19
    • 80054946851 scopus 로고    scopus 로고
    • A study of nonlinear Langevin equation involving two fractional orders in different intervals
    • Ahmad, B, Nieto, JJ, Alsaedi, A, El-Shahed, M: A study of nonlinear Langevin equation involving two fractional orders in different intervals. Nonlinear Anal., Real World Appl. 13, 599-606 (2012)
    • (2012) Nonlinear Anal., Real World Appl , vol.13 , pp. 599-606
    • Ahmad, B.1    Nieto, J.J.2    Alsaedi, A.3    El-Shahed, M.4
  • 20
    • 79952219332 scopus 로고    scopus 로고
    • New existence results for nonlinear fractional differential equations with three-point integral boundary conditions
    • Article ID 107384
    • Ahmad, B, Ntouyas, SK, Alsaedi, A: New existence results for nonlinear fractional differential equations with three-point integral boundary conditions. Adv. Differ. Equ. 2011, Article ID 107384 (2011)
    • (2011) Adv. Differ. Equ
    • Ahmad, B.1    Ntouyas, S.K.2    Alsaedi, A.3
  • 21
    • 84855849752 scopus 로고    scopus 로고
    • Positive solutions of nonlinear fractional differential equations with integral boundary value conditions
    • Cabada, A, Wang, G: Positive solutions of nonlinear fractional differential equations with integral boundary value conditions. J. Math. Anal. Appl. 389, 403-411 (2012)
    • (2012) J. Math. Anal. Appl , vol.389 , pp. 403-411
    • Cabada, A.1    Wang, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.