Abbas, Saïd; Benchohra, Mouffak Qualitative theory for fractional order Riemann-Liouville integral equations in two independent variables. (English) Zbl 1296.26024 Tamsui Oxf. J. Inf. Math. Sci. 29, No. 2, 239-255 (2013). Summary: We present some results concerning the existence and uniqueness and global asymptotic stability of solutions for a functional integral equation of Riemann-Liouville fractional order, by using some fixed point theorems for the existence and uniqueness of the solution and by using some techniques of Pachpatte concerning the estimate on the solution. MSC: 26A33 Fractional derivatives and integrals 45G05 Singular nonlinear integral equations Keywords:functional integral equation; left-sided mixed Riemann-Liouville integral of fractional order; solution; estimation; asymptotic stability; fixed point PDFBibTeX XMLCite \textit{S. Abbas} and \textit{M. Benchohra}, Tamsui Oxf. J. Inf. Math. Sci. 29, No. 2, 239--255 (2013; Zbl 1296.26024)