LAUSR

This paper delivers a theoretical outline for the analysis of an algorithm for iterative fractional multi-agent networked systems with an importance on the character of concentrating information. The proposed system achieves maximal utility while maintaining low operation cost. By using the concept of the Ulam–Hyers stability, we show that the system is stable under the new utility function. The fractional differential operator is proposed by the Riemann–Liouville calculus. We model the formula fractional dynamical multi-agent system (nonhomogeneous case) in a Banach space. Moreover, we establish the result in bounded and converge domain.