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Volumn 61, Issue 2, 2011, Pages 191-202

Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions

Author keywords

Boundary value problem; Discrete fractional calculus; Existence and uniqueness of solution; Nonlocal boundary conditions; Positive solution

Indexed keywords

BROUWER THEOREM; CONTRACTION MAPPING THEOREM; EXISTENCE AND UNIQUENESS OF SOLUTION; FRACTIONAL CALCULUS; NON-LOCAL BOUNDARY CONDITIONS; NON-LOCAL CONDITIONS; NONLINEAR FUNCTIONAL ANALYSIS; POSITIVE SOLUTION;

EID: 78651230726     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.10.041     Document Type: Article
Times cited : (213)

References (15)
  • 1
    • 25144460994 scopus 로고    scopus 로고
    • Positive solutions for boundary value problem of nonlinear fractional differential equation
    • Z. Bai, and H. L 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    H, L.2
  • 2
    • 67349155890 scopus 로고    scopus 로고
    • Boundary value problems for differential equations with fractional order and nonlocal conditions
    • M. Benchohra, S. Hamani, and S.K. Ntouyas Boundary value problems for differential equations with fractional order and nonlocal conditions Nonlinear Anal. TMA 71 2009 2391 2396
    • (2009) Nonlinear Anal. TMA , vol.71 , pp. 2391-2396
    • Benchohra, M.1    Hamani, S.2    Ntouyas, S.K.3
  • 3
    • 0037081673 scopus 로고    scopus 로고
    • Analysis of fractional differential equations
    • K. Diethelm, and N. Ford Analysis of fractional differential equations J. Math. Anal. Appl. 265 2002 229 248
    • (2002) J. Math. Anal. Appl. , vol.265 , pp. 229-248
    • Diethelm, K.1    Ford, N.2
  • 4
    • 67651094005 scopus 로고    scopus 로고
    • Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation
    • X. Xu, D. Jiang, and C. Yuan 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
  • 5
    • 79953286192 scopus 로고    scopus 로고
    • Two-point boundary value problems for finite fractional difference equations
    • 10.1080/10236190903029241
    • F.M. Atici, and P.W. Eloe Two-point boundary value problems for finite fractional difference equations J. Difference Equ. Appl. 2010 10.1080/10236190903029241
    • (2010) J. Difference Equ. Appl.
    • Atici, F.M.1    Eloe, P.W.2
  • 6
    • 78650178926 scopus 로고    scopus 로고
    • Solutions to a discrete right-focal fractional boundary value problem
    • (in press)
    • C.S. Goodrich, Solutions to a discrete right-focal fractional boundary value problem, Int. J. Difference Equations 5 (2010) (in press).
    • (2010) Int. J. Difference Equations , vol.5
    • Goodrich, C.S.1
  • 7
    • 74149083825 scopus 로고    scopus 로고
    • Initial value problems in discrete fractional calculus
    • F.M. Atici, and P.W. Eloe Initial value problems in discrete fractional calculus Proc. Amer. Math. Soc. 137 3 2009 981 989
    • (2009) Proc. Amer. Math. Soc. , vol.137 , Issue.3 , pp. 981-989
    • Atici, F.M.1    Eloe, P.W.2
  • 8
    • 77953136599 scopus 로고    scopus 로고
    • Continuity of solutions to discrete fractional initial value problems
    • C.S. Goodrich Continuity of solutions to discrete fractional initial value problems Comput. Math. Appl. 59 2010 3489 3499
    • (2010) Comput. Math. Appl. , vol.59 , pp. 3489-3499
    • Goodrich, C.S.1
  • 9
    • 35748962937 scopus 로고    scopus 로고
    • Fractional q-calculus on a time scale
    • F.M. Atici, and P.W. Eloe Fractional q-calculus on a time scale J. Nonlinear Math. Phys. 14 3 2007 333 344
    • (2007) J. Nonlinear Math. Phys. , vol.14 , Issue.3 , pp. 333-344
    • Atici, F.M.1    Eloe, P.W.2
  • 10
    • 77950548183 scopus 로고    scopus 로고
    • A transform method in discrete fractional calculus
    • F.M. Atici, and P.W. Eloe A transform method in discrete fractional calculus Int. J. Difference Equ. 2 2 2007 165 176
    • (2007) Int. J. Difference Equ. , vol.2 , Issue.2 , pp. 165-176
    • Atici, F.M.1    Eloe, P.W.2
  • 11
    • 77952557731 scopus 로고    scopus 로고
    • Modeling with fractional difference equations
    • 10.1016/j.jmaa.2010.02.009
    • F.M. Atici, and S. engl Modeling with fractional difference equations J. Math. Anal. Appl. 2010 10.1016/j.jmaa.2010.02.009
    • (2010) J. Math. Anal. Appl.
    • Atici, F.M.1    Engl, S.2
  • 12
    • 0035426483 scopus 로고    scopus 로고
    • Twin solutions of boundary value problems for ordinary differential equations and finite difference equations
    • R.I. Avery, and J. Henderson Twin solutions of boundary value problems for ordinary differential equations and finite difference equations Comput. Math. Appl. 42 2001 695 704
    • (2001) Comput. Math. Appl. , vol.42 , pp. 695-704
    • Avery, R.I.1    Henderson, J.2
  • 13
    • 33847653855 scopus 로고    scopus 로고
    • Multiple positive solutions for discrete nonlocal boundary value problems
    • W. Cheung, J. Ren, P.J.Y. Wong, and D. Zhao Multiple positive solutions for discrete nonlocal boundary value problems J. Math. Anal. Appl. 330 2007 900 915
    • (2007) J. Math. Anal. Appl. , vol.330 , pp. 900-915
    • Cheung, W.1    Ren, J.2    Wong, P.J.Y.3    Zhao, D.4
  • 14
    • 33846283423 scopus 로고    scopus 로고
    • Weakly nonlinear discrete multipoint boundary value problems
    • J. Rodriguez, and P. Taylor Weakly nonlinear discrete multipoint boundary value problems J. Math. Anal. Appl. 329 2007 77 91
    • (2007) J. Math. Anal. Appl. , vol.329 , pp. 77-91
    • Rodriguez, J.1    Taylor, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.