Positive solutions for boundary-value problems of nonlinear fractional differential equations
| dc.contributor.author | Zhang, Shuqin | |
| dc.date.accessioned | 2021-07-15T20:27:08Z | |
| dc.date.available | 2021-07-15T20:27:08Z | |
| dc.date.issued | 2006-03-21 | |
| dc.description.abstract | In this paper, we consider the existence and multiplicity of positive solutions for the nonlinear fractional differential equation boundary-value problem Dα0 + u(t) = ƒ(t, u(t)), 0 < t < 1 u(0) + u′(0) = 0, u(1) + u′(1) = 0 where 1 < α ≤ 2 is a real number, and Dα0+ is the Caputo's fractional derivative, and ƒ : [0, 1] x [0, +∞) → [0, +∞) is continuous. By means of a fixed-point theorem on cones, some existence and multiplicity results of positive solutions are obtained. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhang, S. (2006). Positive solutions for boundary-value problems of nonlinear fractional differential equations. <i>Electronic Journal of Differential Equations, 2006</i>(36), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13909 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Caputo's fractional derivative | |
| dc.subject | Fractional differential equation | |
| dc.subject | Boundary-value problem | |
| dc.subject | Positive solution | |
| dc.subject | Fractional Green's function | |
| dc.subject | Fixed-point theorem | |
| dc.title | Positive solutions for boundary-value problems of nonlinear fractional differential equations | |
| dc.type | Article |