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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 12
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Original Articles

Uniqueness results for fractional functional differential equations with infinite delay in Fréchet spaces

Abdelkader Belarbi Laboratoire de Mathématiques, Université de Sidi Bel Abbès, BP 89, 22000, Sidi Bel Abbés, Algérie
,
Mouffak Benchohra Laboratoire de Mathématiques, Université de Sidi Bel Abbès, BP 89, 22000, Sidi Bel Abbés, AlgérieCorrespondence[email protected]
&
Abdelghani Ouahab Laboratoire de Mathématiques, Université de Sidi Bel Abbès, BP 89, 22000, Sidi Bel Abbés, Algérie
Pages 1459-1470 | Received 27 Jan 2006, Accepted 11 May 2006, Published online: 11 Dec 2006
 
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Abstract

In this article, a recent nonlinear alternative for contraction maps in Fréchet spaces due to Frigon and Granas [1998, Résultats de type Leray-Schauder pour des contractions sur des espaces de Fréchet, Ann. Sci. Math. Québec 22, 161–168] is used to investigate the existence and uniqueness of solutions for fractional order functional differential equations with infinite delay.

Acknowledgement

The authors thank the referee for his/her remarks.

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