Existence of positive solutions for multi-term non-autonomous fractional differential equations with polynomial coefficients
| dc.contributor.author | Babakhani, Azizollah | |
| dc.contributor.author | Daftardar-Gejji, Varsha | |
| dc.date.accessioned | 2021-07-20T20:04:16Z | |
| dc.date.available | 2021-07-20T20:04:16Z | |
| dc.date.issued | 2006-10-16 | |
| dc.description.abstract | In the present paper we discuss the existence of positive solutions in the case of multi-term non-autonomous fractional differential equations with polynomial coefficients; the constant coefficient case has been studied in [2]. We consider the equation Dαn - Σn-1j=1 pj(x)Dαn-j)y = ƒ(x, y). We state various conditions on ƒ and pj's under which this equation has: positive solutions, a unique solution which is positive, and a unique solution which may not be positive. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Babakhani, A., & Daftardar-Gejji, V. (2006). Existence of positive solutions for multi-term non-autonomous fractional differential equations with polynomial coefficients. <i>Electronic Journal of Differential Equations, 2006</i>(129), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14002 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| 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 | Riemann-Liouville fractional derivatives and integrals | |
| dc.subject | Normal cone | |
| dc.subject | Semi-ordered Banach space | |
| dc.subject | Completely continuous operator | |
| dc.subject | Equicontinuous set | |
| dc.title | Existence of positive solutions for multi-term non-autonomous fractional differential equations with polynomial coefficients | |
| dc.type | Article |