Qualitative Theory for Fractional Order Riemann-Liouville Integral Equations in Two Independent Variables

Saïd Abbas；Mouffak Benchohra

Functional integral equation ； Left-sided mixed Riemann-Liouville integral of fractional order ； Solution ； Estimation ； asymptotic stability ； fixed point

Tamsui Oxford Journal of Information and Mathematical Sciences

29卷2期（2013 / 05 / 01）

239 - 255

英文

In this paper, 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.