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ON DISCRETE SEQUENTIAL FRACTIONAL BOUNDARY VALUE PROBLEM WITH FRACTIONAL BOUNDARY CONDITIONS 被引量:1

ON DISCRETE SEQUENTIAL FRACTIONAL BOUNDARY VALUE PROBLEM WITH FRACTIONAL BOUNDARY CONDITIONS
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摘要 In this paper we consider a discrete fractional boundary value problem(FBVP for short). We provide a delicate analysis for the property of Green’s function. Our analysis motivates the study of discrete fractional boundary value problems with fractional boundary conditions. As an application, we give conditions under which such problems admit at least one positive solution. Our results extend the results presented in [4]. In this paper we consider a discrete fractional boundary value problem(FBVP for short). We provide a delicate analysis for the property of Green’s function. Our analysis motivates the study of discrete fractional boundary value problems with fractional boundary conditions. As an application, we give conditions under which such problems admit at least one positive solution. Our results extend the results presented in [4].
机构地区 Dept.of Math.
出处 《Annals of Differential Equations》 2013年第3期369-378,共10页 微分方程年刊(英文版)
基金 Supported by the National Natural Science Foundation of China(11161049)
关键词 discrete fractional calculus sequential fractional diference Green's function boundary value problem discrete fractional calculus sequential fractional diference Green's function boundary value problem
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参考文献5

  • 1Podlubny I.Fractional Differential Equations,vol 198 Mathematics in Science and Engineering[]..1999
  • 2Atici F M,Eloe P W.A transform method in discrete fractional calculus[].Differential Equations.2007
  • 3F.M.Atici,P.W.Eloe.Two-point boundary value problems for fnite fractional diference equations[].JDiference EquAppl.2011
  • 4C.S.Goodrich.Solutions to a discrete right-focal fractional boundary value problem[].IntJDiference Equ.2010
  • 5F.M.Atici,P.W.Eloe.Discrete fractional calculus with the nabla operator[].ElectronJQualTheory DiferEquSpecEdI.2009

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