Abbas, Saïd; Benchohra, Mouffak Fractional order partial hyperbolic differential equations involving Caputo’s derivative. (English) Zbl 1289.26008 Stud. Univ. Babeș-Bolyai, Math. 57, No. 4, 469-479 (2012). Summary: In the present paper, we investigate the existence and uniqueness of solutions of the Darboux problem for the initial value problems (IVP for short), for some classes of hyperbolic fractional order differential equations by using some fixed point theorems. Cited in 13 Documents MSC: 26A33 Fractional derivatives and integrals Keywords:partial hyperbolic differential equation; fractional order; left-sided mixed Riemann-Liouville integral; Caputo fractional-order derivative; solution; fixed point PDFBibTeX XMLCite \textit{S. Abbas} and \textit{M. Benchohra}, Stud. Univ. Babeș-Bolyai, Math. 57, No. 4, 469--479 (2012; Zbl 1289.26008)