Variational Methods for a Fractional Dirichlet Problem Involving Jumarie’s Derivative
We investigate a fractional Dirichlet problem involving Jumarie’s derivative. Using some variational methods a theorem on the existence and uniqueness of a solution to such problem is proved. In the proof of the main result we use a fractional counterpart of the du Bois-Reymond fundamental lemma.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2015-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2015/248517 |
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Article |
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doaj-229be347b75f4d01ac14a0e99481c40a2020-11-24T23:57:25ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/248517248517Variational Methods for a Fractional Dirichlet Problem Involving Jumarie’s DerivativeRafał Kamocki0Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Lodz, PolandWe investigate a fractional Dirichlet problem involving Jumarie’s derivative. Using some variational methods a theorem on the existence and uniqueness of a solution to such problem is proved. In the proof of the main result we use a fractional counterpart of the du Bois-Reymond fundamental lemma.http://dx.doi.org/10.1155/2015/248517 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Rafał Kamocki |
| spellingShingle |
Rafał Kamocki Variational Methods for a Fractional Dirichlet Problem Involving Jumarie’s Derivative Mathematical Problems in Engineering |
| author_facet |
Rafał Kamocki |
| author_sort |
Rafał Kamocki |
| title |
Variational Methods for a Fractional Dirichlet Problem Involving Jumarie’s Derivative |
| title_short |
Variational Methods for a Fractional Dirichlet Problem Involving Jumarie’s Derivative |
| title_full |
Variational Methods for a Fractional Dirichlet Problem Involving Jumarie’s Derivative |
| title_fullStr |
Variational Methods for a Fractional Dirichlet Problem Involving Jumarie’s Derivative |
| title_full_unstemmed |
Variational Methods for a Fractional Dirichlet Problem Involving Jumarie’s Derivative |
| title_sort |
variational methods for a fractional dirichlet problem involving jumarie’s derivative |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2015-01-01 |
| description |
We investigate a fractional Dirichlet problem involving Jumarie’s derivative. Using some variational methods a theorem on the existence and uniqueness of a solution to such problem is proved. In the proof of the main result we use a fractional counterpart of the du Bois-Reymond fundamental lemma. |
| url |
http://dx.doi.org/10.1155/2015/248517 |
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AT rafałkamocki variationalmethodsforafractionaldirichletprobleminvolvingjumariesderivative |
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