메뉴 건너뛰기




Volumn 3, Issue 1-2, 2011, Pages 145-162

Some new existence results for fractional difference equations

Author keywords

Contraction mapping theorem; Dirichlet boundary value problem; Discrete fractional calculus; Fixed point theorems in Banach spaces; Green's function

Indexed keywords

BANACH SPACES; BOUNDARY CONDITIONS; CALCULATIONS; DIFFERENCE EQUATIONS; FIXED POINT ARITHMETIC; GREEN'S FUNCTION;

EID: 79951536621     PISSN: 17523583     EISSN: 17523591     Source Type: Journal    
DOI: 10.1504/IJDSDE.2011.038499     Document Type: Article
Times cited : (44)

References (22)
  • 2
    • 0036701004 scopus 로고    scopus 로고
    • Formulation of Euler-Lagrange equations for fractional variational problems
    • Agrawal, O.P. (2002) 'Formulation of Euler-Lagrange equations for fractional variational problems', J. Math. Anal. Appl. Vol. 272, pp.368-379.
    • (2002) J. Math. Anal. Appl. , vol.272 , pp. 368-379
    • Agrawal, O.P.1
  • 3
    • 35748962937 scopus 로고    scopus 로고
    • Fractional q-Calculus on a time scale
    • Atici, F.M. and Eloe, P.W. (2007a) 'Fractional q-Calculus on a time scale', J. Nonlinear Mathematical Physics, Vol. 14, No. 3, pp.333-344.
    • (2007) J. Nonlinear Mathematical Physics , vol.14 , Issue.3 , pp. 333-344
    • Atici, F.M.1    Eloe, P.W.2
  • 4
  • 5
    • 79953286192 scopus 로고    scopus 로고
    • Two-point boundary value problems for finite fractional difference equations
    • (not dated), doi: 10.1080/10236190903029241 (to appear)
    • Atici, F.M. and Eloe, P.W. (not dated) 'Two-point boundary value problems for finite fractional difference equations', Journal of Difference Equations and Appl., doi: 10.1080/10236190903029241 (to appear).
    • Journal of Difference Equations and Appl.
    • Atici, F.M.1    Eloe, P.W.2
  • 6
    • 74149083825 scopus 로고    scopus 로고
    • Initial value problems in discrete fractional calculus
    • Atici, F.M. and Eloe, P.W. (2009) 'Initial value problems in discrete fractional calculus', Proc. Amer. Math. Soc., Vol. 137, No. 3, pp.981-989.
    • (2009) Proc. Amer. Math. Soc. , vol.137 , Issue.3 , pp. 981-989
    • Atici, F.M.1    Eloe, P.W.2
  • 7
    • 0038405057 scopus 로고    scopus 로고
    • Existence of positive solutions of nonlinear fractional differential equations
    • DOI 10.1016/S0022-247X(02)00716-3
    • Babakhani, A. and Daftardar-Gejji, V. (2003) 'Existence of positive solutions of nonlinear fractional differential equations', J. Math. Anal. Appl., Vol. 278, pp.434-442. (Pubitemid 36530147)
    • (2003) Journal of Mathematical Analysis and Applications , vol.278 , Issue.2 , pp. 434-442
    • Babakhani, A.1    Daftardar-Gejji, V.2
  • 8
    • 25144460994 scopus 로고    scopus 로고
    • Positive solutions for boundary value problem of nonlinear fractional differential equation
    • DOI 10.1016/j.jmaa.2005.02.052, PII S0022247X05001733
    • Bai, Z. and Lü, H. (2005) 'Positive Solutions for boundary value problem of nonlinear fractional differential equation', J. Math. Anal. Appl., Vol. 311, pp.495-505. (Pubitemid 41350217)
    • (2005) Journal of Mathematical Analysis and Applications , vol.311 , Issue.2 , pp. 495-505
    • Bai, Z.1    Lu, H.2
  • 9
    • 84966234102 scopus 로고
    • On the existence of positive solutions of ordinary differential equations
    • Erbe, L.H. and Wang, H. (1994) 'On the existence of positive solutions of ordinary differential equations', Proc. Amer. Math. Soc., Vol. 120, No. 3, pp.743-748
    • (1994) Proc. Amer. Math. Soc. , vol.120 , Issue.3 , pp. 743-748
    • Erbe, L.H.1    Wang, H.2
  • 10
    • 77953136599 scopus 로고    scopus 로고
    • Continuity of solutions to discrete fractional initial value problems
    • Goodrich, C.S. (2010a) 'Continuity of solutions to discrete fractional initial value problems', Comput. Math. Appl., Vol. 59, pp.3489-3499.
    • (2010) Comput. Math. Appl. , vol.59 , pp. 3489-3499
    • Goodrich, C.S.1
  • 11
    • 77953688007 scopus 로고    scopus 로고
    • Existence of a positive solution to a class of fractional differential equations
    • Goodrich, C.S. (2010b) 'Existence of a positive solution to a class of fractional differential equations', Appl. Math. Lett., Vol. 23, pp.1050-1055.
    • (2010) Appl. Math. Lett. , vol.23 , pp. 1050-1055
    • Goodrich, C.S.1
  • 12
    • 78650178926 scopus 로고    scopus 로고
    • Solutions to a discrete right-focal fractional boundary value problem
    • Goodrich, C.S. (2010c) 'Solutions to a discrete right-focal fractional boundary value problem', Int. J. Difference Equations, Vol. 5.
    • (2010) Int. J. Difference Equations , vol.5
    • Goodrich, C.S.1
  • 13
    • 79953294826 scopus 로고    scopus 로고
    • Existence results for a discrete fractional three-point boundary value problem
    • doi: 10.1080/10236198.2010.503240
    • Goodrich, C.S. (2010d) 'Existence results for a discrete fractional three-point boundary value problem', J. Difference Equ. Appl., doi: 10.1080/10236198.2010.503240.
    • (2010) J. Difference Equ. Appl.
    • Goodrich, C.S.1
  • 14
    • 78650170131 scopus 로고    scopus 로고
    • Existence of a positive solution to a system of discrete fractional boundary value problems
    • Goodrich, C.S. (2011) 'Existence of a positive solution to a system of discrete fractional boundary value problems', Appl. Math. Comput., Vol. 217, pp.4740-4753.
    • (2011) Appl. Math. Comput. , vol.217 , pp. 4740-4753
    • Goodrich, C.S.1
  • 16
    • 53949111458 scopus 로고    scopus 로고
    • Basic theory of fractional differential equations
    • Lakshmikantham, V. and Vatsala, A.S. (2008) 'Basic theory of fractional differential equations', Nonlinear Analysis, Vol. 69, pp.2677-2682.
    • (2008) Nonlinear Analysis , vol.69 , pp. 2677-2682
    • Lakshmikantham, V.1    Vatsala, A.S.2
  • 21
    • 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. (2009) 'Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation', Nonlinear Analysis, Vol. 71, pp.4676-4688.
    • (2009) Nonlinear Analysis , vol.71 , pp. 4676-4688
    • Xu, X.1    Jiang, D.2    Yuan, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.