4.5 Article

Existence Results for Nonlinear Fractional Difference Equation

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ADVANCES IN DIFFERENCE EQUATIONS
卷 -, 期 -, 页码 -

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SPRINGER
DOI: 10.1155/2011/713201

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资金

  1. Natural Science Foundation of China [10971173]
  2. Scientific Research Foundation of Hunan Provincial Education Department [09B096]
  3. Aid Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province
  4. Construct Program of the Key Discipline in Hunan Province

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This paper is concerned with the initial value problem to a nonlinear fractional difference equation with the Caputo like difference operator. By means of some fixed point theorems, global and local existence results of solutions are obtained. An example is also provided to illustrate our main result.

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