Abbas, Saïd; Benchohra, Mouffak Upper and lower solutions method for partial hyperbolic differential equations with Caputo’s fractional derivative. (English) Zbl 1234.26008 Libertas Math. 31, 103-110 (2011). Summary: We investigate the existence of solutions for a class of initial value problem for partial hyperbolic differential equations involving the Caputo fractional derivative by using the lower and upper solutions method combined with Schauder’s fixed point theorem. Cited in 2 Documents MSC: 26A33 Fractional derivatives and integrals Keywords:left-sided mixed Riemann-Liouville integral; fixed point PDFBibTeX XMLCite \textit{S. Abbas} and \textit{M. Benchohra}, Libertas Math. 31, 103--110 (2011; Zbl 1234.26008)