Periodic Boundary Value Problems for Semilinear Fractional Differential Equations
We study the periodic boundary value problem for semilinear fractional differential equations in an ordered Banach space. The method of upper and lower solutions is then extended. The results on the existence of minimal and maximal mild solutions are obtained by using the characteristics of positive...
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| Veröffentlicht in: | Mathematical Problems in Engineering 2012-01, Vol.2012 (2012), p.249-264-516 |
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| container_end_page | 264-516 |
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| container_issue | 2012 |
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| container_title | Mathematical Problems in Engineering |
| container_volume | 2012 |
| creator | Mu, Jia Li, Yongxiang |
| description | We study the periodic boundary value problem for semilinear fractional differential equations in an ordered Banach space. The method of upper and lower solutions is then extended. The results on the existence of minimal and maximal mild solutions are obtained by using the characteristics of positive operators semigroup and the monotone iterative scheme. The results are illustrated by means of a fractional parabolic partial differential equations. |
| doi_str_mv | 10.1155/2012/746872 |
| format | Article |
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| issn | 1024-123X 1563-5147 |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Wiley Online Library Open Access; Alma/SFX Local Collection |
| title | Periodic Boundary Value Problems for Semilinear Fractional Differential Equations |
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