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Notes on “stability and chaos control of regularized Prabhakar fractional dynamical systems without and with delay”
Author(s) -
Zhao Lingdong
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5842
Subject(s) - mathematics , counterexample , stability (learning theory) , lyapunov stability , control theory (sociology) , fixed point theorem , point (geometry) , dynamical systems theory , stability theorem , calculus (dental) , control (management) , pure mathematics , discrete mathematics , mathematical analysis , computer science , artificial intelligence , geometry , machine learning , cauchy distribution , medicine , physics , dentistry , quantum mechanics
This comment is to point out some mistakes made in the paper (Shiva et al in MATH METHOD APPL SCI 42(7):2302‐2323, 2019). The stability of Prabhakar fractional dynamical systems without and with time delay is addressed. Lyapunov stability theorem is extended to these systems. But the proof process is wrong as the memory property of fractional calculus. It is necessary to point out these errors to avoid misleading. Finally, a counterexample is proposed against the proposed theorem.