Existence and uniqueness of solution for a class of nonlinear fractional differential equations

被引:0
作者
Shichang Ma
Yufeng Xu
Wei Yue
机构
[1] Central South University,School of Business
[2] Central South University,Department of Applied Mathematics
来源
Advances in Difference Equations | / 2012卷
关键词
nonlinear fractional differential equations; general irregular boundary conditions; existence; fixed-point theorem;
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摘要
In this paper, we present some new existence and uniqueness results for nonlinear fractional differential equations with a kind of general irregular boundary condition in Banach space by using a fixed-point theorem and contraction mapping principle. Moreover, the boundary condition is extended, therefore, some conclusions from other references are special cases of our results.
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  • [1] Kilbas AA(2001)Differential equations of fractional order: methods, results and problem Appl. Anal 78 153-192
  • [2] Trujillo JJ(2008)Nonlinear dynamics and chaos in a fractional-order financial system Chaos Solitons Fractals 36 1305-1314
  • [3] Chen WC(1993)Mechanical stress relaxation in polymers: fractional integral model versus fractional differential model J. Non-Newton. Fluid Mech 46 307-314
  • [4] Friedrich C(2011)A nonlinear fractional viscoelastic material model for polymers Comput. Mater. Sci 50 2938-2949
  • [5] Müller S(2003)Five-parameter fractional derivative model for polymeric damping materials J. Sound Vib 265 935-952
  • [6] Kästner M(2010)Contributions of fractional differentiation to the modelling of electric double layer capacitance Energy Convers. Manag 51 2993-2999
  • [7] Ulbricht JBV(1981)Continuous-flow system with fractional order chemical reaction in the presence of axial dispersion J. Appl. Math. Mech 45 213-216
  • [8] Pritz T(2010)Fractional calculus models of complex dynamics in biological tissues Comput. Math. Appl 59 1586-1593
  • [9] Sadli I(2010)Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations Appl. Math. Lett 23 390-394
  • [10] Urbain M(2010)Existence of solutions for fractional differential equations of order J. Appl. Math. Comput 34 385-391