A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients

Khan, Hasib; Alzabut, Jehad; Tunç, Osman; Kaabar, Mohammed K. A.

doi:10.1016/j.rico.2023.100199

Cited by 27 publications

(2 citation statements)

References 36 publications

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“…They provide a nuanced viewpoint by including linearity, nonlinearity, determinism, and stochasticity in mathematical models. Khan et al [23] investigated the presence, stability, and computational characteristics of F.D.Es in aquatic illness models. They used fractal-fractional derivatives and a modified Atangana-Baleanu derivative to prove the solution's existence, demonstrating convergence approaches.…”

Section: Fractional-differential Equations (Fde) and Fixed-point Solu...mentioning

confidence: 99%

Novel Fuzzy Contractions and Applications to Engineering Science

Younis,

Abdou

2023

Fractal Fract

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The article outlines a creative approach by fusing ideas from fuzzy contractions, graph mappings, and Kannan mappings to create a brand-new notion known as “Kannan-graph-fuzzy contraction”. This combination of concepts makes it possible to create a unique framework for resolving real-world issues controlled by nonlinear models. It is anticipated that using Kannan-graph-fuzzy contractions will offer a fresh approach to discussing solution existence in situations where these ideas overlap. This strategy might have a significant impact on a lot of real-world applications, proving how practical multidisciplinary techniques are for tackling issues in the real world originating from technology and engineering. The article includes several illustrated examples based on computer simulations, making the results more explicit.

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Section: Fractional-differential Equations (Fde) and Fixed-point Solu...mentioning

confidence: 99%

Novel Fuzzy Contractions and Applications to Engineering Science

Younis,

Abdou

2023

Fractal Fract

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“…Fractional-order models are more accurate and efficient than classical models, and non-integer derivative operators are essential for describing physical events, for example, [1][2][3][4]. There has been considerable research on the benefits of fractional calculus in a wide range of fields, including applied mathematics, biology, mechanics, finance, engineering and control theory [5][6][7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

SOS Approach for Practical Stabilization of Tempered Fractional-Order Power System

et al. 2023

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Fractional systems have been widely utilized in various fields, such as mathematics, physics and finance, providing a versatile framework for precise measurements and calculations involving partial quantities. This paper aims to develop a novel polynomial controller for a power system (PS) with fractional-order (FO) dynamics. It begins by studying the practical stability of a general class of tempered fractional-order (TFO) nonlinear systems, with broad applicability and potential for expanding its applications. Afterward, a polynomial controller is designed to guarantee the practical stability of the PS, encompassing the standard constant controller as a specific instance. The design conditions for this controller are resolved using the sum of squares (SOS) approach, a powerful technique for guaranteeing stability and control design. To showcase the practical value of the analytical findings, simulations of the PS are conducted utilizing SOSTOOLS.

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