Non-Lyapunov stability of the fractional-order time-varying delay systems

Mišljen, Mirko; Lazarević, Mihailo P.

doi:10.5937/str1503008m

Cited by 2 publications

(2 citation statements)

References 25 publications

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“…The nonlinear impulsive Stochastic systems with dwell time condition in [9]. well as stability and stabilization of some fractions systems with delay function studied from Lazarevic in [11]. As For nonlinear system with delay impulsive have been presented in [12].…”

Section: Introductionmentioning

confidence: 99%

Stability of nonlinear impulsive higher order differential – fractional integral delay equations with nonlocal initial conditions

Aljumaili,

Alasadi

2023

wjps

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The aim of this paper is to investigate some types of stability such as generalized Hyers-Ulam- Rassias stability(G-H-U-R-stabile) and the relation with Hyers-Ulam(H-U-stabile) stable and Hyers-Ulam-Rassias stable (H-U-R-stabile) and generalized Hyers-Ulam stable (G-H-U- stable) to obtain which one guarantee to satisfy stability of equations included a nonlinear function some of them contains a delay time of solution and the other contain a vector of different order of derivatives for the solution to n-time and vector of fractional order of integrals with different fractional orders and that was the for using a claculse of fractional calculus to satisfies the issue of this techniques. Moreover, the nonlocal initial values for the proposal equation of nonlinear impulsive higher order differential – fractional integral delay time equations which are adding more interesting for nonlinear analytic object of nonlinear higher order integro – fractional order impulsive classes, and the impulsive difference of the equation has some necessary conditions to prove the results of solution to be stable with certain type has related with other types. The necessary and sufficient conditions which assumed on this nonlinear higher order integro-differential impulsive equation have been achieved the stability with interesting certain estimates obtain through the proving technique. Also the uniqueness of solution has been studied with same conditions was presented for stability and used for that issue a contraction fixed point theorem.

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Section: Introductionmentioning

confidence: 99%

Stability of nonlinear impulsive higher order differential – fractional integral delay equations with nonlocal initial conditions

Aljumaili,

Alasadi

2023

wjps

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“…The interaction between dark matter (DM) and ordinary matter results in only a small amount of energy being deposited through nuclear or electron recoil, which is limited to weak elastic scattering processes 1,2 . Therefore, detectors with extremely low energy thresholds are required to detect DM [3][4][5] .…”

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confidence: 99%

Dipole and Cluster Dipole States of HPGe Detectors at Cryogenic Temperature

Raut

Mei

Bhattarai

et al. 2023

Preprint

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This study investigates new technology for enhancing the sensitivity of low-mass dark matter detection by analyzing charge transport in a p-type germanium detector at 5.2 K. To achieve low-threshold detectors, precise calculations of the binding energies of dipole and cluster dipole states, as well as the cross-sections of trapping affected by the electric field, are essential. The detector was operated in two modes: depleted at 77 K before cooling to 5.2 K and cooled directly to 5.2 K with various bias voltages. Our results indicate that the second mode produces lower binding energies and suggests different charge states under varying operating modes. Notably, our measurements of the dipole and cluster dipole state binding energies at zero fields were 8.716+/-0.435 meV and 6.138+/-0.308$ meV, respectively. These findings have strong implications for the development of low-threshold detectors for detecting low-mass dark matter in the future.

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Non-Lyapunov stability of the fractional-order time-varying delay systems

Cited by 2 publications

References 25 publications

Stability of nonlinear impulsive higher order differential – fractional integral delay equations with nonlocal initial conditions

Stability of nonlinear impulsive higher order differential – fractional integral delay equations with nonlocal initial conditions

Dipole and Cluster Dipole States of HPGe Detectors at Cryogenic Temperature

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