Neural Computing and Applications

, Volume 31, Supplement 2, pp 1233–1238 | Cite as

Stability of an iterative fractional multi-agent system

  • Rabha W. IbrahimEmail author
  • Abdullah Gani
Original Article


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.


Fractional calculus Fractional differential equation Multi-agent system Ulam stability 



The authors would like to thank the referees for giving useful suggestions for improving the work. This research is supported by Project UM.C/625/1/HIR/MOE/FCSIT/03.

Authors contributions

All the authors jointly worked on deriving the results and approved the final manuscript. There is no conflict of interests regarding the publication of this article.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© The Natural Computing Applications Forum 2017

Authors and Affiliations

  1. 1.Faculty of Computer Science and Information TechnologyUniversity of MalayaKuala LumpurMalaysia

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