WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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Author: search.filters.author.Baleanu, DumitruPublisher: search.filters.publisher.Vilnius Univ, inst Mathematics & informatics

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  • Article
    Citation - WoS: 43
    Citation - Scopus: 37
    On Fractional-Order Symmetric Oscillator With Offset-Boosting Control
    (Vilnius Univ, inst Mathematics & informatics, 2022) Xu, Changjin; Rahman, Mati ur; Baleanu, Dumitru
    This article analyzes the dynamical evolution of a three-dimensional symmetric oscillator with a fractional Caputo operator. The dynamical properties of the considered model such as equilibria and its stability are also presented. The existence results and uniqueness of solutions for the suggested model are analyzed using the tools from fixed point theory. The symmetric oscillator is analyzed numerically and graphically with various fractional orders. It is observed that the fractional operator has a significant impact on the evolution of the oscillator dynamics showing that the system has a limit-cycle attractor. Offset-boosting control phenomena in the system are also studied with different orders and parameters.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 7
    Finite-Time Stability Results for Fractional Damped Dynamical Systems With Time Delays
    (Vilnius Univ, inst Mathematics & informatics, 2022) Brindha, Nallasamy; Baleanu, Dumitru; Arthi, Ganesan
    This paper is explored with the stability procedure for linear nonautonomous multiterm fractional damped systems involving time delay. Finite-time stability (FTS) criteria have been developed based on the extended form of Gronwall inequality. Also, the result is deduced to a linear autonomous case. Two examples of applications of stability analysis in numerical formulation are described showing the expertise of theoretical prediction.