Darwish, Mohamed Abdalla; Ntouyas, Sotiris K. Semilinear functional differential equations of fractional order with state-dependent delay. (English) Zbl 1167.26302 Electron. J. Differ. Equ. 2009, Paper No. 38, 10 p. (2009). Summary: We study the existence of solutions for the initial value problem for semilinear functional differential equations of fractional order with state-dependent delay. The nonlinear alternative of Leray-Schauder type is the main tool in our analysis. Cited in 11 Documents MSC: 26A33 Fractional derivatives and integrals 26A42 Integrals of Riemann, Stieltjes and Lebesgue type 34K30 Functional-differential equations in abstract spaces Keywords:functional differential equations; fractional derivative; fractional integral; existence; state-dependent delay; infinite delay; fixed point PDFBibTeX XMLCite \textit{M. A. Darwish} and \textit{S. K. Ntouyas}, Electron. J. Differ. Equ. 2009, Paper No. 38, 10 p. (2009; Zbl 1167.26302) Full Text: EuDML EMIS