Abstract
We consider a discrete, nonlinear, ( N – 1, 1) fractional-order boundary value problem in one variable with a fractional-order derivative specified as the right boundary condition. We first derive and establish properties of the corresponding Green’s function and then apply these properties – together with Krasnosel’skii’s Theorem and Banach’s Contraction Mapping Theorem – to show the existence of a positive solution to the given problem.
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