Aissani, Khalida; Benchohra, Mouffak Semilinear fractional order integro-differential equations with infinite delay in Banach spaces. (English) Zbl 1299.26008 Arch. Math., Brno 49, No. 2, 105-117 (2013). The authors establish a sufficient condition for the existence of a mild solution for a nonlinear fractional integro-differential equation with infinite time delay. The fractional derivative is considered in the sense of Caputo of order \(q\in (0,1)\). The argument is based on the fixed point theorem. Reviewer: Roman Šimon Hilscher (Brno) Cited in 2 Documents MSC: 26A33 Fractional derivatives and integrals 34G20 Nonlinear differential equations in abstract spaces 34K30 Functional-differential equations in abstract spaces 34K37 Functional-differential equations with fractional derivatives Keywords:semilinear differential equations; Caputo fractional derivative; mild solution; measure of noncompactness; fixed point; semigroup; Banach space PDF BibTeX XML Cite \textit{K. Aissani} and \textit{M. Benchohra}, Arch. Math., Brno 49, No. 2, 105--117 (2013; Zbl 1299.26008) Full Text: DOI