Opuscula Math. 32, no. 1 (2012), 31-40
Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces
Mouffak Benchohra
Fatima-Zohra Mostefai
Abstract.
The aim of this paper is to investigate a class of boundary value problems for fractional differential equations involving nonlinear integral conditions. The main tool used in our considerations is the technique associated with measures of weak noncompactness.
Keywords:
boundary value problem, Caputo fractional derivative, measure of weak noncompactness, Pettis integrals, weak solution.
Mathematics Subject Classification:
26A33, 34B15, 34G20.
About the authors ▼
Mouffak Benchohra
Université de Sidi Bel-Abbes, Laboratoire de Mathématiques, BP 89, 22000 Sidi Bel-Abbes, Algérie
Fatima-Zohra Mostefai
Université de Saida, Département de Mathématiques, BP 138 Cité Ennasr, 20000 Saida, Algérie
About the article ▼
Received: 2010-12-18.
Revised: 2011-04-19.
Accepted: 2011-04-19.
Cite this article as ▼
Mouffak Benchohra, Fatima-Zohra Mostefai, Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces, Opuscula Math. 32, no. 1 (2012), 31-40,
http://dx.doi.org/10.7494/OpMath.2012.32.1.31.
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