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Analysis of fractional model of guava for biological pest control with memory effect [PDF]
Journal of Advanced Research, 2021 Introduction: Fractional operators find their applications in several scientific and engineering processes. We consider a fractional guava fruit model involving a non-local additionally non-singular fractional derivative for the interaction into guava ...
Jagdev Singh +3 more
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Model Fractional Chern Insulators [PDF]
Physical Review Letters, 2016 We devise local lattice models whose ground states are model fractional Chern insulators---Abelian and non-Abelian topologically ordered states characterized by exact ground state degeneracies at any finite size and infinite entanglement gaps.
Behrmann, Jörg +2 more
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Tempered fractional LES modeling [PDF]
Journal of Fluid Mechanics, 2021 The presence of non-local interactions and intermittent signals in the homogeneous isotropic turbulence grant multi-point statistical functions a key role in formulating a new generation of large-eddy simulation (LES) models of higher fidelity. We establish a tempered fractional-order modelling framework for developing non-local LES subgrid-scale ...
Mehdi Samiee +2 more
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Fractional SIR epidemiological models [PDF]
Scientific Reports, 2020 Abstract The purpose of this work is to make a case for epidemiological models with fractional exponent in the contribution of sub-populations to the incidence rate. More specifically, we question the standard assumption in the literature on epidemiological models, where the incidence rate dictating propagation of infections is taken ...
Taghvaei, Amirhossein +3 more
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Modelling Fractional Behaviours Without Fractional Models [PDF]
Frontiers in Control Engineering, 2021 This paper first warns about the confusion or rather the implicit link that exists in the literature between fractional behaviours (of physical, biological, thermal, etc. origin) and fractional models. The need in the field of dynamic systems modelling is for tools that can capture fractional behaviours that are ubiquitous.
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Fractional Model of the Deformation Process
Fractal and Fractional, 2022 The article considers the fractional Poisson process as a mathematical model of deformation activity in a seismically active region. The dislocation approach is used to describe five modes of the deformation process.
Olga Sheremetyeva, Boris Shevtsov
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Fractional SIS Epidemic Models [PDF]
Fractal and Fractional, 2020 In this paper, we consider the fractional SIS (susceptible-infectious-susceptible) epidemic model (α-SIS model) in the case of constant population size. We provide a representation of the explicit solution to the fractional model and we illustrate the results by numerical schemes.
Balzotti C., D'ovidio M., Loreti P.
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Stability and Optimal Control of a Fractional SEQIR Epidemic Model with Saturated Incidence Rate
Fractal and Fractional, 2023 The fractional differential equation has a memory property and is suitable for biomathematical modeling. In this paper, a fractional SEQIR epidemic model with saturated incidence and vaccination is constructed.
Deguo Sun, Qing Li, Wencai Zhao
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Fractional Mathematical Model McSherry
Вестник КРАУНЦ. Физико-математические науки, 2023 В статье предложено обобщение математической модели Макшерри для моделирования искусственной электрокардиограммы — изменяющегося во времени сигнала, отражающий ионный ток, который заставляет сердечные волокна сокращаться, а затем расслабляться. Обобщение математической модели Макшерри заключается в учете свойства наследственности (памяти) динамического
Alimov, Khaĭriddin Tukhtamurodovich +2 more
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Cardiovascular Circulatory System and Left Carotid Model: A Fractional Approach to Disease Modeling
Fractal and Fractional, 2022 Cardiovascular diseases (CVDs) remain the leading cause of death worldwide, according to recent reports from the World Health Organization (WHO). This fact encourages research into the cardiovascular system (CVS) from multiple and different points of ...
José Emilio Traver +6 more
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