Benchohra, M.; Graef, J. R.; Mostefai, F. Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces. (English) Zbl 1206.26006 Electron. J. Qual. Theory Differ. Equ. 2010, Paper No. 54, 10 p. (2010). Summary: The aim of this paper is to investigate a class of boundary value problem for fractional differential equations involving nonlinear integral conditions. The main tool used in our considerations is the technique associated with measures of weak noncompactness. Cited in 9 Documents MSC: 26A33 Fractional derivatives and integrals 34B15 Nonlinear boundary value problems for ordinary differential equations 34G20 Nonlinear differential equations in abstract spaces Keywords:boundary value problem; Caputo fractional derivative; measure of weak noncompactness; Pettis integrals; weak solution PDF BibTeX XML Cite \textit{M. Benchohra} et al., Electron. J. Qual. Theory Differ. Equ. 2010, Paper No. 54, 10 p. (2010; Zbl 1206.26006) Full Text: DOI EuDML EMIS OpenURL