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. |
Databáze: | Directory of Open Access Journals |
Externí odkaz: |