A Sum Operator Method for the Existence and Uniqueness of Positive Solutions to a System of Nonlinear Fractional Integral Equations

الملخص EN

This paper is concerned with the existence and uniqueness of positive solutions for a Volterra nonlinear fractional system of integral equations.

Our analysis relies on a fixed point theorem of a sum operator.

The conditions for the existence and uniqueness of a positive solution to the system are established.

Moreover, an iterative scheme is constructed for approximating the solution.

The case of quadratic system of fractional integral equations is also considered.