Advances in Difference Equations · 2010 · 172 citations · 6 references
Natural SciencesMathematicsDifferential EquationsDifference EquationsExistence TheoremsExistence TheoryFixed PointsInitial Value ProblemsFractional Differential EquationsInitial Value Problem FormulationLocal Existence TheoryNonlinear Difference EquationsNonlinear Initial Value ProblemsUniqueness Of Solutions
<p/> 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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