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A sum operator method for the existence and uniqueness of positive solutions to a system of nonlinear fractional integral equations. (English) Zbl 1470.45013

Summary: 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.

MSC:

45J05 Integro-ordinary differential equations
34A08 Fractional ordinary differential equations
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