Loading...
Please wait, while we are loading the content...
Similar Documents
Positive solutions to fractional boundary value problems with nonlinear boundary conditions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Feng, Wenquan Sun, Shurong Li, Xinhui Xu, Meirong |
| Copyright Year | 2014 |
| Abstract | We consider the existence of at least one positive solution of the problem –D0+u(t) = f (t,u(t)), 0 < t < 1, under the circumstances that u(0) = 0, u(1) = H1(φ(u)) + ∫ E H2(s,u(s))ds, where 1 < α < 2, D α 0+ is the Riemann-Liouville fractional derivative, and u(1) = H1(φ(u)) + ∫ E H2(s,u(s))ds represents a nonlinear nonlocal boundary condition. By imposing some relatively mild structural conditions on f , H1, H2, and φ , one positive solution to the problem is ensured. Our results generalize the existing results and an example is given as well. MSC: 34A08; 34B18 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://boundaryvalueproblems.springeropen.com/track/pdf/10.1186/s13661-014-0225-0?site=boundaryvalueproblems.springeropen.com |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Courant–Friedrichs–Lewy condition Nonlinear system Nonlocal Lagrangian Solutions |
| Content Type | Text |
| Resource Type | Article |
