Results 11 to 20 of about 3,164,995 (317)
Fractional-Order Traveling Wave Approximations for a Fractional-Order Neural Field Model
Frontiers in Computational Neuroscience, 2022 In this work, we establish a fractional-order neural field mathematical model with Caputo's fractional derivative temporal order α considering 0 < α < 2, to analyze the effect of fractional-order on cortical wave features observed preceding seizure
Laura R. González-Ramírez
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On fraction order modeling and control of dynamical systems [PDF]
IFAC Proceedings Volumes, 2009 This paper demonstrates the feasibility of modeling any dynamical system using a set of fractional order di®erential equations, including distributed and lumped systems.
Kahalil, Islam +3 more
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A Fractional-Order Peer Influence Mathematical Model
Journal of Applied MathematicsIn this article, a fractional-order mathematical model is used to simulate peer influence using the Liouville–Caputo framework. Our model was made up of four states, which describe friends, negatively behaved friends, parental guidance, and positively ...
Patience Pokuaa Gambrah +4 more
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Fractional-Order Epidemic Model for Measles Infection
ScientificaIn this study, a nonlinear dynamic SEVIQR measles epidemic model is constructed and analyzed using the novel Caputo fractional-order derivative operator. The model’s existence and uniqueness are established.
Philip N. A. Akuka +3 more
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Fractional-order backstepping strategy for fractional-order model of COVID-19 outbreak. [PDF]
Math Methods Appl Sci, 2022 The coronavirus disease (COVID‐19) pandemic has impacted many nations around the world. Recently, new variant of this virus has been identified that have a much higher rate of transmission. Although vaccine production and distribution are currently underway, non‐pharmacological interventions are still being implemented as an important and fundamental ...
Veisi A, Delavari H, Delavari H.
europepmc +5 more sources
Fractional-Order Gas Film Model
Fractal and Fractional, 2022 In this paper, a fractional-order model of the gas film is proposed for the dynamic characteristics of an air bearing. Based on the dynamic characteristics common between gas film and viscoelastic body, the idea of the fractional-order equivalent ...
Xu Tang, Ying Luo, Bin Han
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Ain Shams Engineering Journal, 2023 This study introduces a novel numerical approach based on shifted fractional-order Gegenbauer wavelets. The technique aims to provide approximate solutions for a certain class of extremely significant fractional models of electrical Image 1, Image 2 ...
Pooja Yadav +2 more
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Chaos in fractional order financial model with fractal–fractional derivatives
Partial Differential Equations in Applied Mathematics, 2023 Recently, a new differential operator which combines fractal differentiation and fractional differentiation with different kernels such as power law, exponential decay, and the Mittag–Leffler function has been introduced.
Krunal B. Kachhia
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Dynamical Behavior of a Fractional Order Model for Within-Host SARS-CoV-2
Mathematics, 2022 The prime objective of the current study is to propose a novel mathematical framework under the fractional-order derivative, which describes the complex within-host behavior of SARS-CoV-2 by taking into account the effects of memory and carrier.
K. Dehingia +4 more
semanticscholar +1 more source
A Novel Fractional-Order RothC Model
Mathematics, 2023 A new fractional q-order variation of the RothC model for the dynamics of soil organic carbon is introduced. A computational method based on the discretization of the analytic solution along with the finite-difference technique are suggested and the ...
Vsevolod Bohaienko +5 more
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