Existence results for nonlinear fractional difference equation. (English) Zbl 1207.39012

Summary: 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.


39A20 Multiplicative and other generalized difference equations
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