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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 7
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Original Articles

Existence results for boundary value problems with non-linear fractional differential equations

Mouffak Benchohra Laboratoire de Mathématiques, Université de Sidi Bel-Abbés, Sidi Bel-Abbés, Algérie
,
John R. Graef Department of Mathematics, The University of Tennessee at Chattanooga, Chattanooga, TN, USACorrespondence[email protected]
&
Samira Hamani Laboratoire de Mathématiques, Université de Sidi Bel-Abbés, Sidi Bel-Abbés, Algérie
Pages 851-863 | Received 28 Apr 2008, Accepted 19 Jun 2008, Published online: 29 Sep 2008
 
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Abstract

In this article, the authors establish sufficient conditions for the existence of solutions to a class of boundary value problem for fractional differential equations involving the Caputo fractional derivative of order α ∈ (1, 2] and non-linear integral conditions.

AMS subject classification: :

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