Existence and uniqueness of nontrivial solution for nonlinear fractional multi-point boundary value problem with a parameter-Reference-Cited by-同舟云学术

Existence and uniqueness of nontrivial solution for nonlinear fractional multi-point boundary value problem with a parameter

Published:2020-01-30 Issue:1 Volume:2020 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Sang Yanbin^ORCID,He Luxuan

Abstract

AbstractIn this paper, a class of fractional boundary value problems with a parameter are discussed. We give some sufficient conditions to guarantee that above problems have a unique solution and construct the corresponding iterative sequences for approximating the unique solution.

Funder

This project is supported by the Programs for the Cultivation of Young Scientific Research Personnel of Higher Education Institutions in Shanxi Province.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13662-020-2518-1.pdf

Reference32 articles.

1. Li, C., Luo, X., Zhou, Y.: Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations. Comput. Math. Appl. 59, 1363–1375 (2010)

2. Peng, L., Zhou, Y.: Bifurcation from interval and positive solutions of the three-point boundary value problem for fractional differential equations. Appl. Math. Comput. 257, 458–466 (2015)

3. Kaufmann, E.R., Mboumi, E.: Positive solutions of a boundary value problem for a nonlinear fractional differential equation. Electron. J. Qual. Theory Differ. Equ. 2008, 3 (2008)

4. Lv, Z.W.: Positive solutions of m-point boundary value problems for fractional differential equations. Adv. Differ. Equ. 2011, 571804 (2011)

5. Lv, Z.W.: Existence results for m-point boundary value problems of nonlinear fractional differential equations with p-Laplacian operator. Adv. Differ. Equ. 2014, 69 (2014)