Solutions to a discrete, nonlinear, (N­1,1) fractional boundary value problem
by Michael Holm
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 3, No. 1/2, 2011

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.

Online publication date: Sat, 24-Jan-2015

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