Existence and Uniqueness of Solutions for a Discrete Fractional Mixed Type Sum-Difference Equation Boundary Value Problem

Weidong Lv

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-10

Abstract:

By means of Schauder’s fixed point theorem and contraction mapping principle, we establish the existence and uniqueness of solutions to a boundary value problem for a discrete fractional mixed type sum-difference equation with the nonlinear term dependent on a fractional difference of lower order. Moreover, a suitable choice of a Banach space allows the solutions to be unbounded and two representative examples are presented to illustrate the effectiveness of the main results.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:376261

DOI: 10.1155/2015/376261

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