Agarwal, Ravi P.; Benchohra, Mouffak; Hamani, Samira; Pinelas, Sandra Boundary value problems for differential equations involving Riemann-Liouville fractional derivative on the half-line. (English) Zbl 1208.26012 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 18, No. 2, 235-244 (2011). Summary: We establish sufficient conditions for the existence of solutions for a class of boundary value problem for fractional differential equations involving the Riemann-Liouville fractional derivative on infinite intervals. This result is based on the nonlinear alternative of Leray-Schauder type combined with the diagonalization method. Cited in 32 Documents MSC: 26A33 Fractional derivatives and integrals 34A60 Ordinary differential inclusions 34B15 Nonlinear boundary value problems for ordinary differential equations Keywords:boundary value problem; differential equation; Riemann-Liouville fractional derivative; fractional integral; existence; fixed point; infinite intervals; diagonalization process PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 18, No. 2, 235--244 (2011; Zbl 1208.26012)