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

Autor: Weidong Lv
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Discrete Dynamics in Nature and Society, Vol 2015 (2015)
Druh dokumentu: article
ISSN: 1026-0226
1607-887X
DOI: 10.1155/2015/376261
Popis: 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.
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