메뉴 건너뛰기




Volumn 371, Issue 1, 2010, Pages 57-68

Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations

Author keywords

Fractional differential equation; Positive solution; Riemann Liouville fractional derivative; Singular Dirichlet problem

Indexed keywords


EID: 77954144417     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2010.04.034     Document Type: Article
Times cited : (246)

References (17)
  • 1
    • 77949264980 scopus 로고    scopus 로고
    • A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
    • Agarwal R.P., Benchohra M., Hamani S. A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions. Acta Appl. Math. 2008, 10.1007/s10440-008-9356-6.
    • (2008) Acta Appl. Math.
    • Agarwal, R.P.1    Benchohra, M.2    Hamani, S.3
  • 2
    • 67650110018 scopus 로고    scopus 로고
    • A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
    • Article ID 981728
    • Agarwal R.P., Belmekki M., Benchohra M. A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative. Adv. Difference Equ. 2009, Article ID 981728, 47 pp.
    • (2009) Adv. Difference Equ. , pp. 47
    • Agarwal, R.P.1    Belmekki, M.2    Benchohra, M.3
  • 3
    • 25144460994 scopus 로고    scopus 로고
    • Positive solutions for boundary value problem of nonlinear fractional differential equation
    • Bai Z., Lü H. Positive solutions for boundary value problem of nonlinear fractional differential equation. J. Math. Anal. Appl. 2005, 311:495-505.
    • (2005) J. Math. Anal. Appl. , vol.311 , pp. 495-505
    • Bai, Z.1    Lü, H.2
  • 4
    • 67349155890 scopus 로고    scopus 로고
    • Boundary value problems for differential equations with fractional order and nonlocal conditions
    • Benchohra M., Hamani S., Ntouyas S.K. Boundary value problems for differential equations with fractional order and nonlocal conditions. Nonlinear Anal. 2009, 71:2391-2396.
    • (2009) Nonlinear Anal. , vol.71 , pp. 2391-2396
    • Benchohra, M.1    Hamani, S.2    Ntouyas, S.K.3
  • 5
    • 34247323827 scopus 로고    scopus 로고
    • Fractional differential equations as alternative models to nonlinear differential equations
    • Bonilla B., Rivero M., Rodriguez-Germá L., Trujillo J.J. Fractional differential equations as alternative models to nonlinear differential equations. Appl. Math. Comput. 2007, 187:79-88.
    • (2007) Appl. Math. Comput. , vol.187 , pp. 79-88
    • Bonilla, B.1    Rivero, M.2    Rodriguez-Germá, L.3    Trujillo, J.J.4
  • 6
    • 44649117334 scopus 로고    scopus 로고
    • Boundary value problems for multi-term fractional differential equations
    • Daftardar-Gejji V., Bhalekar S. Boundary value problems for multi-term fractional differential equations. J. Math. Anal. Appl. 2008, 345:754-765.
    • (2008) J. Math. Anal. Appl. , vol.345 , pp. 754-765
    • Daftardar-Gejji, V.1    Bhalekar, S.2
  • 11
    • 0003244044 scopus 로고    scopus 로고
    • Fractional Differential Equations
    • Academic Press, San Diego
    • Podlubny I. Fractional Differential Equations. Math. Sci. Eng. 1999, vol. 198. Academic Press, San Diego.
    • (1999) Math. Sci. Eng. , vol.198
    • Podlubny, I.1
  • 13
    • 70350123911 scopus 로고    scopus 로고
    • Upper and lower solutions method and a fractional differential boundary value problem
    • Paper No. 30
    • Shi A., Zhang S. Upper and lower solutions method and a fractional differential boundary value problem. Electron. J. Qual. Theory Differ. Equ. 2009, Paper No. 30, 13 pp.
    • (2009) Electron. J. Qual. Theory Differ. Equ. , pp. 13
    • Shi, A.1    Zhang, S.2
  • 14
    • 55649098198 scopus 로고    scopus 로고
    • Boundary value problem for a coupled system of nonlinear fractional differential equations
    • Su X. Boundary value problem for a coupled system of nonlinear fractional differential equations. Appl. Math. Lett. 2009, 22:64-69.
    • (2009) Appl. Math. Lett. , vol.22 , pp. 64-69
    • Su, X.1
  • 15
    • 34548772314 scopus 로고    scopus 로고
    • Existence of solution for boundary value problem of nonlinear fractional differential equation
    • Su X., Liu L. Existence of solution for boundary value problem of nonlinear fractional differential equation. Appl. Math. J. Chinese Univ. Ser. B 2007, 22(3):291-298.
    • (2007) Appl. Math. J. Chinese Univ. Ser. B , vol.22 , Issue.3 , pp. 291-298
    • Su, X.1    Liu, L.2
  • 16
    • 64249167013 scopus 로고    scopus 로고
    • Positive solutions for boundary value problems of n-dimension nonlinear fractional differential system
    • Article ID 437453
    • Yang A., Ge W. Positive solutions for boundary value problems of n-dimension nonlinear fractional differential system. Bound. Value Probl. 2008, Article ID 437453, 15 pp.
    • (2008) Bound. Value Probl. , pp. 15
    • Yang, A.1    Ge, W.2
  • 17
    • 33748915280 scopus 로고    scopus 로고
    • Existence of solutions for a boundary value problem of fractional order
    • Zhang S. Existence of solutions for a boundary value problem of fractional order. Acta Math. Sci. 2006, 26:220-228.
    • (2006) Acta Math. Sci. , vol.26 , pp. 220-228
    • Zhang, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.