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Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4414
Abstract: The key purpose of the present work is to constitute a numerical scheme based on q-homotopy analysis transform method to examine the fractional model of regularized long-wave equation. The regularized long-wave equation explains the shallow…
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Keywords:
analysis;
fractional model;
regularized long;
long wave ... See more keywords
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Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-018-0717-0
Abstract: We present the validation of a recent fractional mathematical model for erythrocyte sedimentation proposed by Sousa et al. (AIMS Math 2(4):692–705, 2017). The model uses a Caputo fractional derivative to build a time-fractional diffusion equation suitable…
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Keywords:
erythrocyte sedimentation;
model erythrocyte;
fractional model;
validation fractional ... See more keywords
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Published in 2018 at "Applied Acoustics"
DOI: 10.1016/j.apacoust.2017.10.014
Abstract: Abstract The attenuation coefficient of ultrasonic waves propagating in different materials, particularly oils, is governed by a frequency-dependent power law with an exponent ranging between 1 and 2. Classical models such as the thermo-viscous one…
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Keywords:
edible oils;
oils using;
fractional model;
model ... See more keywords
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Published in 2021 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2020.08.038
Abstract: Abstract Stable multistep schemes based on Caputo fractional derivative approximation are presented for solving 1D and 2D nonlinear fractional model arising from dielectric media. We approximate Caputo fractional derivatives in time with a multistep scheme…
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Keywords:
multistep schemes;
multistep;
fractional model;
nonlinear source ... See more keywords
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Published in 2021 at "International Journal of Engineering Science"
DOI: 10.1016/j.ijengsci.2021.103465
Abstract: Abstract Data fitting and interconversion remain to be a difficult task in linear viscoelasticity. On the basis of transfer function, a generalized fractional model is proposed to fit linear viscoelastic data. The new model is…
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Keywords:
maxwell;
viscoelastic data;
model;
fractional model ... See more keywords
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Published in 2017 at "Advances in Difference Equations"
DOI: 10.1186/s13662-017-1139-9
Abstract: The key purpose of the present work is to examine a fractional giving up smoking model pertaining to a new fractional derivative with non-singular kernel. The numerical simulations are conducted with the aid of an…
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Keywords:
new fractional;
giving smoking;
fractional derivative;
smoking model ... See more keywords
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Published in 2022 at "PLOS ONE"
DOI: 10.1371/journal.pone.0277472
Abstract: Forecasting household assets provides a better opportunity to plan their socioeconomic activities for the future. Fractional mathematical models offer to model the asset-holding data into a piece of scientific evidence in addition to forecasting their…
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Keywords:
novel fractional;
wealth index;
fractional model;
model ... See more keywords
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Published in 2023 at "Symmetry"
DOI: 10.3390/sym15020380
Abstract: In this manuscript, we formulate a mathematical model of the deadly COVID-19 pandemic to understand the dynamic behavior of COVID-19. For the dynamic study, a new SEIAPHR fractional model was purposed in which infectious individuals…
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Keywords:
analysis covid;
fractional model;
model;
theoretical analysis ... See more keywords