Author:
Wang Youyu, ,Li Xianfei,Huang Yue
Abstract
<abstract><p>By using the operator theory, we establish the Green's function for Caputo fractional differential equation under Sturm-Liouville boundary conditions. The results are new, the method used in this paper will provide some new ideas for the study of this kind of problems and easy to be generalized to solving other problems.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference8 articles.
1. R. Agarwal, M. Benchohra, S. Hamani, A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions, Acta. Appl. Math., 109 (2010), 973–1033. https://doi.org/10.1007/s10440-008-9356-6
2. M. Benchohra, J. Graef, S. Hamani, Existence results for boundary value problems with non-linear fractional differential equations, Appl. Anal., 87 (2008), 851–863. https://doi.org/10.1080/00036810802307579
3. S. Zhang, Positive solutions for boundary-value problems of nonlinear fractional differential equations, Electron. J. Differ. Eq., 2006 (2006), 36.
4. M. Al-Refai, Basic results on nonlinear eigenvalue problems of fractional order, Electron. J. Differ. Eq., 2012 (2012), 191.
5. M. Al-Refai, On the fractional derivatives at extreme points, Electron. J. Qual. Theory Differ. Equ., 2012 (2012), 55.
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献