c) 2022-Scopus Open Access (PDF)

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Author: search.filters.author.Ganesan, Arthi

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    FINITE-TIME STABILITY RESULTS FOR FRACTIONAL DAMPEDDYNAMICAL SYSTEMS WITH TIME DELAYS
    (Vilnius University Press, 2022-01-06) Ganesan, Arthi; Nallasamy, Brindha; Dumitru, Baleanu
    This paper is explored with the stability procedure for linear nonautonomous multitermfractional damped systems involving time delay. Finite-time stability (FTS) criteria have beendeveloped based on the extended form of Gronwall inequality. Also, the result is deduced to a linearautonomous case. Two examples of applications of stability analysis in numerical formulation aredescribed showing the expertise of theoretical prediction.
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    CONTROLLABILITY OF NONLINEAR HIGHER-ORDER FRACTIONALDAMPED STOCHASTIC SYSTEMS INVOLVING MULTIPLE DELAYS
    (Vilnius University Press, 2022-05-24) Ganesan, Arthi; Kalaiselvan, Suganya; Juan J, Nieto
    This paper is concerned with the controllability problem for higher-order fractionaldamped stochastic systems with multiple delays, which involves fractional Caputo derivatives ofany different orders. In the process of proof, we have proposed the controllability of consideredlinear system by establishing a controllability Grammian matrix and employing a control function.Sufficient conditions for the considered nonlinear system concerned to be controllable have beenderived by constructing a proper control function and utilizing the Banach fixed point theoremwith Burkholder–Davis–Gundy’s inequality. Finally, two examples are provided to emphasize theapplicability of the derived results