Monotone iterative schemes for positive solutions of a fractional differential system with integral boundary conditions on an infinite interval

TL;DR

This paper develops monotone iterative schemes using fixed point principles to find positive solutions of fractional differential systems with integral boundary conditions on infinite intervals.

Contribution

It introduces explicit monotone iterative schemes for approximating extreme and unique positive solutions of such fractional systems.

Findings

Constructed explicit iterative schemes for solutions.

Proved convergence to positive solutions.

Established existence and uniqueness results.

Abstract

In this paper, using the monotone iterative technique and the Banach contraction mapping principle, we study a class of fractional differential system with integral boundary on an infinite interval. Some explicit monotone iterative schemes for approximating the extreme positive solutions and the unique positive solution are constructed.