Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions
<p/> <p>We study a boundary value problem to Langevin equation involving two fractional orders. The Banach fixed point theorem and Krasnoselskii's fixed point theorem are applied to establish the existence results.</p>
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2011/516481 |
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doaj-9dc4f060d1d64ec7800656d5f4dacaea2020-11-24T21:39:43ZengSpringerOpenBoundary Value Problems1687-27621687-27702011-01-0120111516481Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value ConditionsChen YiChen Anping<p/> <p>We study a boundary value problem to Langevin equation involving two fractional orders. The Banach fixed point theorem and Krasnoselskii's fixed point theorem are applied to establish the existence results.</p>http://www.boundaryvalueproblems.com/content/2011/516481 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chen Yi Chen Anping |
| spellingShingle |
Chen Yi Chen Anping Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions Boundary Value Problems |
| author_facet |
Chen Yi Chen Anping |
| author_sort |
Chen Yi |
| title |
Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions |
| title_short |
Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions |
| title_full |
Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions |
| title_fullStr |
Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions |
| title_full_unstemmed |
Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions |
| title_sort |
existence of solutions to nonlinear langevin equation involving two fractional orders with boundary value conditions |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2762 1687-2770 |
| publishDate |
2011-01-01 |
| description |
<p/> <p>We study a boundary value problem to Langevin equation involving two fractional orders. The Banach fixed point theorem and Krasnoselskii's fixed point theorem are applied to establish the existence results.</p> |
| url |
http://www.boundaryvalueproblems.com/content/2011/516481 |
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AT chenyi existenceofsolutionstononlinearlangevinequationinvolvingtwofractionalorderswithboundaryvalueconditions AT chenanping existenceofsolutionstononlinearlangevinequationinvolvingtwofractionalorderswithboundaryvalueconditions |
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1725929675502387200 |