Non-Existence of Solutions for Two-Point Fractional and Third-Order Boundary-Value Problems
| dc.contributor.author | Karakostas, G. L. | en |
| dc.date.accessioned | 2015-11-24T17:25:46Z | |
| dc.date.available | 2015-11-24T17:25:46Z | |
| dc.identifier.issn | 1072-6691 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13096 | |
| dc.rights | Default Licence | - |
| dc.subject | third order differential equation | en |
| dc.subject | two-point boundary-value problem | en |
| dc.subject | fractional boundary condition | en |
| dc.subject | nonexistence of solutions | en |
| dc.subject | functional-differential equations | en |
| dc.subject | monotone positive solutions | en |
| dc.subject | existence | en |
| dc.subject | order | en |
| dc.subject | solvability | en |
| dc.subject | resonance | en |
| dc.subject | uniqueness | en |
| dc.subject | 3rd | en |
| dc.title | Non-Existence of Solutions for Two-Point Fractional and Third-Order Boundary-Value Problems | en |
| heal.abstract | In this article, we provide sufficient conditions for the non-existence of solutions of the boundary-value problems with fractional derivative of order alpha is an element of (2, 3) in the Riemann-Liouville sense D-0+(alpha) x(t) + lambda alpha(t)f(x(t)) = 0, t is an element of (0, 1), x(0) = x'(0) = x'(1) = 0, and in the Caputo sense (C) D(alpha)x(t) + f(t, x(t)) = 0, t is an element of (0, 1), x(0) = x'(0) = 0, x(1) = lambda integral(1)(0) x(s)ds; and for the third-order differential equation x'''(t) + (Fx)(t) = 0, a.e. t is an element of [0, 1], associated with three among the following six conditions x(0) = 0, x(1) = 0, x'(0) = 0, x'(1) = 0, x ''(0) = 0, x ''(1) = 0. Thus, fourteen boundary-value problems at resonance and six boundary-value problems at non-resonanse are studied. Applications of the results are, also, given. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.secondary | <Go to ISI>://000322084900003 | - |
| heal.journalName | Electronic Journal of Differential Equations | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2013 | - |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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