Solvability for a discrete fractional mixed type sum-difference equation boundary value problem in a Banach space
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- 作者：Weidong Lv ; Xin-yun Zhu
- 关键词：discrete fractional mixed type sum ; difference equation ; boundary value problem ; Banach space ; noncompactness measure ; fixed point theorem
- 刊名：Boundary Value Problems
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：2016
- 期：1
- 全文大小：1,504 KB
- 刊物主题：Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations; Analysis; Approximations and Expansions; Mathematics, general;
- 出版者：Springer International Publishing
- ISSN：1687-2770
文摘
In this paper, by means of Darbo’s fixed point theorem, we establish the existence of solutions to a nonlinear discrete fractional mixed type sum-difference equation boundary value problem in a Banach space. Additionally, as an application, we give an example to demonstrate the main result.