Dynamics of fractal-fractional model of a new chaotic system of integrated circuit with Mittag-Leffler kernel

Zubair Ahmad, Farhad Ali, Naveed Khan, Ilyas Khan

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)

Abstract

Fractal-fractional operators have been crucial in detecting some hidden chaotic phenomena that could not be exposed using classical or simple fractional differential and integral operators. To provide new possibilities for capturing more chaotic behaviors, the present study is carried out for the dynamics of a new chaotic system by implementing fractal-fractional differential operator of Mittag-Leffler type kernel. It is also theoretically proved that the present model will have at least one solution and it will also have a unique solution. Numerical scheme is implemented through MATLAB software for the graphical solution of the proposed problem. Some results are found and portrayed through different graphs.

Original languageEnglish
Article number111602
JournalChaos, Solitons and Fractals
Volume153
DOIs
Publication statusPublished - Dec 2021
Externally publishedYes

Keywords

  • Fractal-fractional differential operator
  • Hidden chaotic attractor
  • Integrated circuit
  • Mittag-Leffler kernel
  • New chaotic system
  • Numerical solution

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