Monotone method for finite systems of nonlinear riemann-liouville fractional integro-differential equations

In this paper we develop the monotone method for nonlinear finite Nsystems of Riemann-Liouville integro-differential equations of order 0 < q < 1. The iterative technique approximates maximal and minimal coupled quasisolutions to the nonlinear system using sequences of linear systems that are constructed via coupled lower and upper solutions of varying types. Preliminary existence and comparison theorems are presented and proven where appropriate. Finally, we present a numerical example.