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Volumn 23, Issue 9, 2010, Pages 1050-1055

Existence of a positive solution to a class of fractional differential equations

Author keywords

Boundary value problem; Continuous fractional calculus; Fixed point theorem in cones; Green's function; Right focal problem

Indexed keywords

EXISTENCE THEOREM; FIXED POINT THEOREM IN CONES; FRACTIONAL CALCULUS; FRACTIONAL DIFFERENTIAL EQUATIONS; POSITIVE SOLUTION; RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES;

EID: 77953688007     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2010.04.035     Document Type: Article
Times cited : (225)

References (11)
  • 1
    • 25144460994 scopus 로고    scopus 로고
    • Positive solutions for boundary value problem of nonlinear fractional differential equation
    • Bai Z., and Lü H. Positive solutions for boundary value problem of nonlinear fractional differential equation. J. Math. Anal. Appl. 311 (2005) 495-505
    • (2005) J. Math. Anal. Appl. , vol.311 , pp. 495-505
    • Bai, Z.1    Lü, H.2
  • 2
    • 67651094005 scopus 로고    scopus 로고
    • Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation
    • Xu X., Jiang D., and Yuan C. Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation. Nonlinear Anal. TMA 71 (2009) 4676-4688
    • (2009) Nonlinear Anal. TMA , vol.71 , pp. 4676-4688
    • Xu, X.1    Jiang, D.2    Yuan, C.3
  • 4
    • 53949111458 scopus 로고    scopus 로고
    • Basic theory of fractional differential equations
    • Lakshmikantham V., and Vatsala A.S. Basic theory of fractional differential equations. Nonlinear Anal. TMA 69 (2008) 2677-2682
    • (2008) Nonlinear Anal. TMA , vol.69 , pp. 2677-2682
    • Lakshmikantham, V.1    Vatsala, A.S.2
  • 5
    • 74149089358 scopus 로고    scopus 로고
    • Positive solutions to singular boundary value problem for nonlinear fractional differential equation
    • Zhang S. Positive solutions to singular boundary value problem for nonlinear fractional differential equation. Comput. Math. Appl. 59 (2010) 1300-1309
    • (2010) Comput. Math. Appl. , vol.59 , pp. 1300-1309
    • Zhang, S.1
  • 6
    • 84966234102 scopus 로고
    • On the existence of positive solutions of ordinary differential equations
    • Erbe L.H., and Wang H. On the existence of positive solutions of ordinary differential equations. Proc. Amer. Math. Soc. 120 3 (1994) 743-748
    • (1994) Proc. Amer. Math. Soc. , vol.120 , Issue.3 , pp. 743-748
    • Erbe, L.H.1    Wang, H.2
  • 7
    • 4644330198 scopus 로고    scopus 로고
    • Triple positive solutions for (k, n - k) conjugate boundary value problems
    • Davis J.H., and Henderson J. Triple positive solutions for (k, n - k) conjugate boundary value problems. Math. Slovaca 51 3 (2001) 313-320
    • (2001) Math. Slovaca , vol.51 , Issue.3 , pp. 313-320
    • Davis, J.H.1    Henderson, J.2
  • 8
    • 61749101656 scopus 로고    scopus 로고
    • Positive solutions of a nonlinear fourth order boundary value problem
    • Graef J.R., and Yang B. Positive solutions of a nonlinear fourth order boundary value problem. Comm. Appl. Nonlinear Anal. 14 1 (2007) 61-73
    • (2007) Comm. Appl. Nonlinear Anal. , vol.14 , Issue.1 , pp. 61-73
    • Graef, J.R.1    Yang, B.2
  • 9
    • 77949491616 scopus 로고    scopus 로고
    • Existence of positive solutions of a nonlinear fourth-order boundary value problem
    • Ma R., and Xu L. Existence of positive solutions of a nonlinear fourth-order boundary value problem. Appl. Math. Lett. 23 5 (2010) 537-543
    • (2010) Appl. Math. Lett. , vol.23 , Issue.5 , pp. 537-543
    • Ma, R.1    Xu, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.