Global Mittag-Leffler boundedness of nabla discrete-time fractional-order fuzzy complex-valued molecular models of mRNA and protein in regulatory mechanisms

Narayanan, G.; Ali, M. Syed; Karthikeyan, Rajagopal; Rajchakit, Grienggrai; Thakur, Ganesh Kumar; Garg, Sudesh Kumar

doi:10.1016/j.cnsns.2023.107669

Communications in Nonlinear Science and Numerical Simulation

2024

DOI: 10.1016/j.cnsns.2023.107669

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Global Mittag-Leffler boundedness of nabla discrete-time fractional-order fuzzy complex-valued molecular models of mRNA and protein in regulatory mechanisms

G. Narayanan,

M. Syed Ali,

Rajagopal Karthikeyan

et al.

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2024

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Cited by 4 publications

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Distributed order hantavirus model and its nonstandard discretizations and stability analysis

Kocabiyik,

Ongun

2024

Math Methods in App Sciences

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It is crucial to understand the effects of deadly viruses on humans in advance. One such virus is the infectious hantavirus. Since the effects of viruses vary under different conditions, this study models the virus using distributed order differential equations. Because distributed order differential equations effectively capture variable effects in different conditions through the incorporated density function, this study aims to achieve a solution via the discretization method after presenting the equation system. A nonstandard finite difference scheme (NSFD) is used for the discretization. Then the stability analysis of the discretized system is investigated.

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Distributed order hantavirus model and its nonstandard discretizations and stability analysis

Kocabiyik,

Ongun

2024

Math Methods in App Sciences

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A new method for global h$$ h $$‐stability analysis for discrete‐time nonlinear systems with time‐varying delays

Zhang,

Yang

et al. 2024

Math Methods in App Sciences

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In this paper, we characterize the global ‐stability of discrete‐time nonlinear systems (DTNSs) with time‐varying delays. The global ‐stability encompasses several well‐known types of stability by using different choices of functions, such as global exponential stability (ES), Lagrange exponential stability (LES), and asymptotic stability. By exploiting a direct method based on the system solutions, we give a sufficient condition for the global ‐stability of the DTNSs in the form of simple inequalities that can be easily handled in MATLAB. Finally, numerical examples are presented to demonstrate the applicability of the method.

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Observer-based practical prescribed time control for fractional-order nonlinear systems with asymmetric state constraints

Chen,

Fang

2024

Neural Comput & Applic

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Global Mittag-Leffler boundedness of nabla discrete-time fractional-order fuzzy complex-valued molecular models of mRNA and protein in regulatory mechanisms

Cited by 4 publications

References 49 publications

Distributed order hantavirus model and its nonstandard discretizations and stability analysis

Distributed order hantavirus model and its nonstandard discretizations and stability analysis

A new method for global h$$ h $$‐stability analysis for discrete‐time nonlinear systems with time‐varying delays

Observer-based practical prescribed time control for fractional-order nonlinear systems with asymmetric state constraints

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