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Journal articles on the topic 'Fractional recovery'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Fang, C. Q., H. Y. Sun, and J. P. Gu. "A Fractional Calculus Approach to the Prediction of Free Recovery Behaviors of Amorphous Shape Memory Polymers." Journal of Mechanics 32, no. 1 (2015): 11–17. http://dx.doi.org/10.1017/jmech.2015.82.

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AbstractA fractional model generalized from the Zener model is proposed for the prediction of temperature-dependent free recovery behaviors of amorphous shape memory polymers (SMPs). This model differs from the Zener model in that it involves nonlinear differential equations of fractional, not integer, order. The theoretical solution based on this fractional model is utilized to simulate the isothermal and nonisothermal free recovery of an amorphous SMP compared with the one based on the Zener model. The results show a reasonable improvement in the prediction of the strain recovery response of

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2

Du, Yunkang, and Zuoliang Xu. "Simultaneous Calibration of European Option Volatility and Fractional Order under the Time Fractional Vasicek Model." Algorithms 17, no. 2 (2024): 54. http://dx.doi.org/10.3390/a17020054.

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In this paper, we recover the European option volatility function σ(t) of the underlying asset and the fractional order α of the time fractional derivatives under the time fractional Vasicek model. To address the ill-posed nature of the inverse problem, we employ Tikhonov regularization. The Alternating Direction Multiplier Method (ADMM) is utilized for the simultaneous recovery of the parameter α and the volatility function σ(t). In addition, the existence of a solution to the minimization problem has been demonstrated. Finally, the effectiveness of the proposed approach is verified through n

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3

Fang, C.-Q., H. Y. Sun, and J. P. Gu. "Application of Fractional Calculus Methods to Viscoelastic Response of Amorphous Shape Memory Polymers." Journal of Mechanics 31, no. 4 (2015): 427–32. http://dx.doi.org/10.1017/jmech.2014.98.

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AbstractConstitutive models based on fractional calculus are utilized to investigate the viscoelastic response of thermally activated shape memory polymers (SMPs). Fractional calculus-based viscoelastic equations are fitted to experimental data existing in literature compared with traditional viscoelastic models. In addition, a fractional rheology model is applied to simulate the isothermal recovery of an amorphous SMP. The fit results show a significant improvement in the description of the strain recovery response of SMP by the fractional calculus method.

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4

Gupta, Robin, Pengbo Lu, Rodney Glotzbach, and Owen Hehmeyer. "A Novel, Field-Representative Enhanced-Oil-Recovery Coreflood Method." SPE Journal 20, no. 03 (2015): 442–52. http://dx.doi.org/10.2118/169088-pa.

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Summary This study describes a new method that can improve laboratory determination of enhanced-oil-recovery (EOR) potential for a test fluid relative to a base fluid. The new method uses a modified steady-state fractional-flow method to measure the shift in oil saturation in a rock at an intermediate fractional flow when changing from a base brine to a test EOR brine(s). This study uses fractional-flow analysis and simulations to illustrate the new method and compare it with the conventional-unsteady-state approach. Through case studies, this work demonstrates that the conventional-unsteady-s

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5

Augustine, Nuhu, Omale David, Atokolo William, et al. "Numerical Solution of Fractional order Malaria Model via the Generalized Fractional Adams-Bashforth-Moulton Approach." GPH-International Journal of Mathematics 8, no. 03 (2025): 01–25. https://doi.org/10.5281/zenodo.15205492.

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A fractional-order mathematical model studies the effects of contact rate and recovery rate on Malaria transmission dynamics as this paper investigates different epidemiological characteristics of malaria infection. We put forward conditions to ensure the model solution uniqueness and performs an endemic equilibrium stability assessment through Lyapunov function application. Numerical simulations running the fractional Adams–Bashforth–Moulton method reveal how fractional-order values together with model parameters affect malaria control and dynamics. Numerical surface and contour p

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6

Newman, P. A., J. S. Daniel, D. W. Waugh, and E. R. Nash. "A new formulation of equivalent effective stratospheric chlorine (EESC)." Atmospheric Chemistry and Physics Discussions 7, no. 2 (2007): 3963–4000. http://dx.doi.org/10.5194/acpd-7-3963-2007.

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Abstract. Equivalent effective stratospheric chlorine (EESC) is a convenient parameter to quantify the effects of halogens (chlorine and bromine) on ozone depletion in the stratosphere. We show and discuss a new formulation of EESC that now includes the effects of age-of-air dependent fractional release values and an age-of-air spectrum. This new formulation provides quantitative estimates of EESC that can be directly related to inorganic chlorine and bromine throughout the stratosphere. Using this EESC formulation, we estimate that human-produced ozone depleting substances will recover to 198

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7

Sivkova, Elena Olegovna. "Optimal recovery of fractional powers of the Laplace difference operator." Sbornik: Mathematics 216, no. 3 (2025): 445–55. https://doi.org/10.4213/sm10196e.

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The concept of a fractional power of the Laplace difference operator of a function on an $d$-dimensional lattice is introduced, and the problem of optimal recovery from inaccurate information about the function itself is stated for this fractional power. A family of optimal recovery methods is constructed. Bibliography: 11 titles.

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8

Duan, Jun-Sheng, Yu-Jie Lan, and Ming Li. "A Comparative Study of Responses of Fractional Oscillator to Sinusoidal Excitation in the Weyl and Caputo Senses." Fractal and Fractional 6, no. 12 (2022): 692. http://dx.doi.org/10.3390/fractalfract6120692.

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The fractional oscillator equation with the sinusoidal excitation mx″(t)+bDtαx(t)+kx(t)=Fsin(ωt), m,b,k,ω>0 and 0<α<2 is comparatively considered for the Weyl fractional derivative and the Caputo fractional derivative. In the sense of Weyl, the fractional oscillator equation is solved to be a steady periodic oscillation xW(t). In the sense of Caputo, the fractional oscillator equation is solved and subjected to initial conditions. For the fractional case α∈(0,1)∪(1,2), the response to excitation, S(t), is a superposition of three parts: the steady periodic oscillation xW(t), an expone

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9

Fadina, Tolulope, and Thorsten Schmidt. "Default Ambiguity." Risks 7, no. 2 (2019): 64. http://dx.doi.org/10.3390/risks7020064.

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This paper discusses ambiguity in the context of single-name credit risk. We focus on uncertainty in the default intensity but also discuss uncertainty in the recovery in a fractional recovery of the market value. This approach is a first step towards integrating uncertainty in credit-risky term structure models and can profit from its simplicity. We derive drift conditions in a Heath–Jarrow–Morton forward rate setting in the case of ambiguous default intensity in combination with zero recovery, and in the case of ambiguous fractional recovery of the market value.

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10

Xie, Da, Xinjian Wang, Chunyang Wang, et al. "A Fractional-Order Total Variation Regularization-Based Method for Recovering Geiger-Mode Avalanche Photodiode Light Detection and Ranging Depth Images." Fractal and Fractional 7, no. 6 (2023): 445. http://dx.doi.org/10.3390/fractalfract7060445.

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High-quality image restoration is typically challenging due to low signal–to–background ratios (SBRs) and limited statistics frames. To address these challenges, this paper devised a method based on fractional-order total variation (FOTV) regularization for recovering Geiger-mode avalanche photodiode (GM-APD) light detection and ranging (lidar) depth images. First, the spatial differential peak-picking method was used to extract the target depth image from low SBR and limited frames. FOTV regularization was introduced based on the total variation regularization recovery model, which incorporat

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11

Kimura-Ohba, Shihoko, Yi Yang, Jeffrey Thompson, et al. "Transient increase of fractional anisotropy in reversible vasogenic edema." Journal of Cerebral Blood Flow & Metabolism 36, no. 10 (2016): 1731–43. http://dx.doi.org/10.1177/0271678x16630556.

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Brain vasogenic edema, involving disruption of the blood-brain barrier, is a common pathological condition in several neurological diseases, with a heterogeneous prognosis. It is sometimes reversible, as in posterior reversible encephalopathy syndrome, but often irreversible and our current clinical tools are insufficient to reveal its reversibility. Here, we show that increased fractional anisotropy in magnetic resonance imaging is associated with the reversibility of vasogenic edema. Spontaneously, hypertensive rats-stroke prone demonstrated posterior reversible encephalopathy syndrome-like

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12

García-Fajardo, Jorge Alberto, David Antonio Flores-Méndez, Ángela Suárez-Jacobo, et al. "Separation of D-Limonene and Other Oxygenated Compounds from Orange Essential Oil by Molecular Distillation and Fractional Distillation with a Wiped Film Evaporator." Processes 11, no. 4 (2023): 991. http://dx.doi.org/10.3390/pr11040991.

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Orange essential oil (OEO) is mainly composed of D-Limonene and other oxygenated compounds that contribute to the orange flavor and aroma. However, D-Limonene is unstable in the presence of heat, light, and water, affecting the quality of the OEO. Therefore, the objective of this study was to fractionate OEO by distillation, both molecular and fractionated (hybrid), producing a D-Limonene-rich fraction. The OEO was characterized by physicochemical tests and gas chromatography combined with mass spectrometry (GC–MS). The fractionation of the OEO was carried out by molecular distillation and fra

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13

Gil-Alana, Luis A., and Prakarsh Singh. "Economic Growth and Recovery After Civil Wars." Peace Economics, Peace Science and Public Policy 20, no. 4 (2014): 565–74. http://dx.doi.org/10.1515/peps-2014-0023.

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AbstractUsing a fractional integration approach, we find that developing countries recover their economic growth faster than developed countries in response to a shock. The main finding is that longer civil conflicts are associated with a faster recovery process. To investigate deeper on this issue, we explore correlations with components of GDP. Higher government spending is correlated with faster recoveries post longer conflicts and higher consumption and investment are linked to faster recoveries following shorter conflicts.

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14

Raja, Selvaraj, and Vytla Ramachandra Murty. "Optimization of Aqueous Two-Phase Systems for the Recovery of Soluble Proteins from Tannery Wastewater Using Response Surface Methodology." Journal of Engineering 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/217483.

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Aqueous two-phase system (ATPS) composed of polyethylene glycol 6000 (PEG 6000) and sodium citrate (SC) has been proposed to recover the valuable soluble proteins from tannery wastewater. A sequential optimization strategy which included fractional factorial design (fFD) and central composite design (CCD) was employed to enhance the recovery. From this strategy, a second-order polynomial model was obtained for the protein recovery and it was validated. The optimum recovery was found as 93.46% when pH, NaCl concentration, and temperature were kept at 7.5, 0.1 M, and 33°C, respectively, for a ph

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15

Wu, Leixiao, Wei Cai, and Jie Yang. "Temperature/Stress-Dependent Fractional Creep Models of Thermoplastic Polymers." Polymers 17, no. 14 (2025): 1984. https://doi.org/10.3390/polym17141984.

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The creep behavior of thermoplastic polymeric materials is highly dependent on loading conditions, which must be accounted for in the intrinsic model. In this paper, fractional creep models have been developed to describe the temperature/stress-dependent creep/creep–recovery and accelerated creep damage behavior, with the construction of a criterion correlating model parameters with temperature and initial stress. The fractional order in the fractional creep/creep–recovery model can be physically interpreted by the well-known master curve, and the creep rupture time can be predicted by combini

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16

Olaniyi, Samson, Furaha M. Chuma, Ramoshweu S. Lebelo, Richard C. Ogbonna, and Sulaimon F. Abimbade. "Modelling epidemiological dynamics with pseudo-recovery via fractional-order derivative operator and optimal control measures." PLOS ONE 20, no. 1 (2025): e0318080. https://doi.org/10.1371/journal.pone.0318080.

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In this study, a new deterministic mathematical model based on fractional-order derivative operator that describes the pseudo-recovery dynamics of an epidemiological process is developed. Fractional-order derivative of Caputo type is used to examine the effect of memory in the spread process of infectious diseases with pseudo-recovery. The well-posedness of the model is qualitatively investigated through Banach fixed point theory technique. The spread of the disease in the population is measured by analysing the basic reproduction of the model with respect to its parameters through the sensiti

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17

Newman, P. A., J. S. Daniel, D. W. Waugh, and E. R. Nash. "A new formulation of equivalent effective stratospheric chlorine (EESC)." Atmospheric Chemistry and Physics 7, no. 17 (2007): 4537–52. http://dx.doi.org/10.5194/acp-7-4537-2007.

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Abstract. Equivalent effective stratospheric chlorine (EESC) is a convenient parameter to quantify the effects of halogens (chlorine and bromine) on ozone depletion in the stratosphere. We show, discuss, and analyze a new formulation of EESC that now includes the effects of age-of-air dependent fractional release values and an age-of-air spectrum. This EESC can be more appropriately applied to various parts of the stratosphere because of this dependence on mean age-of-air. This new formulation provides quantitative estimates of EESC that can be directly related to inorganic chlorine and bromin

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18

Umoh, F. O., V. E. Osodeke, and G. S. Effiong. "Fractional Recovery of Applied Potassium in Soils of Southeastern Nigeria." Greener Journal of Soil Science and Plant Nutrition 4, no. 2 (2017): 30–35. https://doi.org/10.15580/GJSSPN.2017.3.080117100.

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The fractional recovery of K was assessed in three selected surface soils of southeastern Nigeria. Soils used were form on alluvium, shale, and coastal plain sands parent materials and were treated to various concentration levels of K, ranging from 0 -200mgl<sup>-1</sup> prepared from KCL. The amount of K was measured at time intervals of 1, 7, 30, 90 and 180 days. Result of incubation period shows that the highest K recovered was obtained in alluvium soil while the least came from shale in the order: alluvium (0.26) > coastal plain sand (0.11) > shale (0.02). Soils developed from s

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19

Trisilowati, Isnani Darti, Raqqasyi Rahmatullah Musafir, Maya Rayungsari, and Agus Suryanto. "Dynamics of a Fractional-Order COVID-19 Epidemic Model with Quarantine and Standard Incidence Rate." Axioms 12, no. 6 (2023): 591. http://dx.doi.org/10.3390/axioms12060591.

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In this paper, we propose a fractional-order COVID-19 epidemic model with a quarantine and standard incidence rate using the Caputo fractional-order derivative. The model consists of six classes: susceptible (S), exposed (E), infected (I), quarantined (Q), recovered (R), and deceased (M). In our proposed model, we simultaneously consider the recovery rate and quarantine rate of infected individuals, which has not been considered in other fractional-order COVID-19 epidemic models. Furthermore, we consider the standard incidence rate in the model. For our proposed model, we prove the existence,

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20

Indumathy, .S1 Kiruthiga .K1 Saraswathi .K2 Arumugam .P3. "EXTRACTION, PARTIAL PURIFICATION AND CHARACTERIZATION OF BROMELAIN ENZYME FROM PINEAPPLE (ANANAS COMOSUS)." INDO AMERICAN JOURNAL OF PHARMACEUTICAL RESEARCH 07, no. 09 (2017): 566–79. https://doi.org/10.5281/zenodo.1036502.

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Pineapples as a fruit have effective juice and a vibrant tropical flavour that balances the tastes of sweet and tart. Bromelain is a multiple mixture of substances that can be extracted from the stem and core fruit of the pineapple. Acetone fractional precipitation of bromelain from pineapple peel its characterization after the recovery process was studied completely. The natural source Pineapples have been initially screened and used to produce Bromelain, a protease enzyme. Extract of bromelain was homogenized by processing pineapple’s peel and pulp using pre-cooled buffer at specific pH for

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21

Lin, Chen Xiao, Dao Lin Gao, Ya Fei Guo, Shi Qiang Wang, and Tian Long Deng. "Boron Recovery from the Liquid Mineral Resources." Advanced Materials Research 549 (July 2012): 349–52. http://dx.doi.org/10.4028/www.scientific.net/amr.549.349.

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In this paper, the processes on boron recovery from the liquid mineral resources (salt lake brine, oil- or gas-field water, and concentrate seawater) including the processes of precipitation, solvent extraction, fractional crystallization, ion exchange, and combined method at present were summarized, and the new trend in the future was also pointed out.

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22

Tian-He, Liao, and Gao Qiong. "Image recovery from double amplitudes in fractional Fourier domain." Chinese Physics 15, no. 2 (2006): 347–52. http://dx.doi.org/10.1088/1009-1963/15/2/020.

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23

Gil-Alana, Luis A., and Prakarsh Singh. "Growth recovery after civil conflict: a fractional integration approach." Defence and Peace Economics 27, no. 4 (2015): 453–79. http://dx.doi.org/10.1080/10242694.2015.1072375.

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24

Barolet, Daniel. "Accelerating Ablative Fractional Resurfacing Wound Healing Recovery by Photobiomodulation." Current Dermatology Reports 5, no. 3 (2016): 232–38. http://dx.doi.org/10.1007/s13671-016-0151-8.

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25

Ertosun, M. Günhan, Haluk Atli, Haldun M. Ozaktas, and Billur Barshan. "Complex signal recovery from multiple fractional Fourier-transform intensities." Applied Optics 44, no. 23 (2005): 4902. http://dx.doi.org/10.1364/ao.44.004902.

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26

Gussenov, I., A. Shakhvorostov, A. Ayazbayeva, and S. E. Kudaibergenov. "Laboratory Testing of Polymer Flooding by Hydrolyzed Poly(acrylamide) in High Salinity Conditions." Eurasian Chemico-Technological Journal 26, no. 4 (2024): 245–52. https://doi.org/10.18321/ectj1648.

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This study investigates the efficacy of high molecular weight hydrolyzed polyacrylamide (HPAM) solutions in enhancing oil recovery under high salinity conditions. The viscosity values of 0.25 wt.% HPAM solutions in 250 g∙L─1 brine with high content of divalent cations (Ca and Mg) were found to range from 11.5 to 12.6 cP for both 10% and 30% hydrolysis polymers. The displacement of 420-cP oil from sand pack models showed that injecting 3 pore volumes (PVs) of polymer solutions significantly increased the oil recovery factor, with an increment of 16─28% after the injection of 1 PV of water. The

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27

Yagil, Y., B. D. Myers, and R. L. Jamison. "Course and pathogenesis of postischemic acute renal failure in the rat." American Journal of Physiology-Renal Physiology 255, no. 2 (1988): F257—F264. http://dx.doi.org/10.1152/ajprenal.1988.255.2.f257.

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The effect of 45-min clamping of the renal artery was studied in the conscious uninephrectomized rat to reproduce the syndrome of hemodynamically mediated acute renal failure in humans after a single ischemic insult. Twenty-four hours after ischemia, creatinine clearance was reduced by 90%, whereas fractional excretion of sodium was markedly increased; over the subsequent 5 days, both values returned to normal. The animals were nonoliguric. Fractional clearances of graded sizes of neutral dextrans (radii 20–44 A), employed to detect transtubular backleak of inulin, were not significantly diffe

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28

Iqbal, Iqbal, Iqbal M. Batiha, Mohammad S. Hijazi, Issam Bendib, Adel Ouannas, and Nidal Anakira. "Fractional-Order SEIR Model for COVID-19: Finite-Time Stability Analysis and Numerical Validation." International Journal of Neutrosophic Science 26, no. 1 (2025): 266–82. https://doi.org/10.54216/ijns.260123.

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This paper investigates a fractional-order SEIR model to study the dynamics of infectious diseases, specifically COVID-19, by incorporating memory effects through fractional derivatives. The model’s formulation enhances the understanding of epidemic dynamics by considering disease transmission, recovery, and mortality rates under fractional calculus. Stability analyses are conducted for the disease-free equilibrium (DFE) and the pandemic fixed point (PFP), identifying critical conditions for finite-time stability using Lyapunov functions and fractional derivatives. Numerical simulations valida

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29

Anjam, Yasir Nadeem, Rubayyi Turki Alqahtani, Nadiyah Hussain Alharthi, and Saira Tabassum. "Unveiling the Complexity of HIV Transmission: Integrating Multi-Level Infections via Fractal-Fractional Analysis." Fractal and Fractional 8, no. 5 (2024): 299. http://dx.doi.org/10.3390/fractalfract8050299.

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This article presents a non-linear deterministic mathematical model that captures the evolving dynamics of HIV disease spread, considering three levels of infection in a population. The model integrates fractal-fractional order derivatives using the Caputo operator and undergoes qualitative analysis to establish the existence and uniqueness of solutions via fixed-point theory. Ulam-Hyer stability is confirmed through nonlinear functional analysis, accounting for small perturbations. Numerical solutions are obtained using the fractional Adam-Bashforth iterative scheme and corroborated through M

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30

Jin, Bangti, and Yavar Kian. "Recovering multiple fractional orders in time-fractional diffusion in an unknown medium." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2253 (2021): 20210468. http://dx.doi.org/10.1098/rspa.2021.0468.

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In this work, we investigate an inverse problem of recovering multiple orders in a time-fractional diffusion model from the data observed at one single point on the boundary. We prove the unique recovery of the orders together with their weights, which does not require a full knowledge of the domain or medium properties, e.g. diffusion and potential coefficients, initial condition and source in the model. The proof is based on Laplace transform and asymptotic expansion. Furthermore, inspired by the analysis, we propose a numerical procedure for recovering these parameters based on a nonlinear

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31

DI MINO, Gaetano, Gordon AIREY, Mario DI PAOLA, Francesco Paolo PINNOLA, Giacomo D’ANGELO, and Davide LO PRESTI. "LINEAR AND NONLINEAR FRACTIONAL HEREDITARY CONSTITUTIVE LAWS OF ASPHALT MIXTURES." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 22, no. 7 (2016): 882–89. http://dx.doi.org/10.3846/13923730.2014.914104.

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The aim of this paper is to propose a fractional viscoelastic and viscoplastic model of asphalt mixtures using experimental data of several tests such as creep and creep recovery performed at different temperatures and at different stress levels. From a best fitting procedure it is shown that both the creep one and recovery curve follow a power law model. It is shown that the suitable model for asphalt mixtures is a dashpot and a fractional element arranged in series. The proposed model is also available outside of the linear domain but in this case the parameters of the model depend on the st

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32

Zhang, Nan, Dao Lin Gao, Ming Ming Liu, and Tian Long Deng. "Rubidium and Cesium Recovery from Brine Resources." Advanced Materials Research 1015 (August 2014): 417–20. http://dx.doi.org/10.4028/www.scientific.net/amr.1015.417.

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In this paper, the methods for rubidium (Rb) and cesium (Cs) recovery from brines including salt lake brine, geothermal water and concentrated seawater were summarized, and the main problems existed were also pointed out. More details for Rb and Cs recovery from salt lake brines through fractional precipitation, ion exchange and solvent extraction were discussed, and the new trend for Rb and Cs recovery in the future were also carried out.

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Fram, Ricki Y., Melanie G. Cree, David L. Chinkes, David N. Herndon, and Robert R. Wolfe. "Recovery of labeled CO2 from acetate in severely burned children." American Journal of Physiology-Endocrinology and Metabolism 293, no. 6 (2007): E1726—E1729. http://dx.doi.org/10.1152/ajpendo.00388.2007.

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The purpose of this study was to determine the fractional recovery rate of labeled CO2 in the breath of severely burned children. This information is needed to perform tracer studies of substrate oxidation using carbon-labeled fatty acids. Nine children, ages 4–14 yr with massive burns participated in the study. All experiments were performed 7 days post burn after an overnight fast. A primed (60 μmol/kg), constant (2.0 μmol·kg−1·min−1) infusion of [1,2-13C]acetate was given during a 4-h basal period and during a 4-h hyperinsulinemic euglycemic clamp. A priming dose (150 μmol/kg) of NaH13CO3 w

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34

Ru, Yi, Xianxie Zhang, Baoying Shen, et al. "Delayed Reaction of Radiation on the Central Nervous System and Bone System in C57BL/6J Mice." International Journal of Molecular Sciences 25, no. 1 (2023): 337. http://dx.doi.org/10.3390/ijms25010337.

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The aim of this study was to provide a suitable mouse model of radiation-induced delayed reaction and identify potential targets for drug development related to the prevention and treatment of radiation injury. C57BL/6J mice were subjected to singular (109 cGy/min, 5 Gy*1) and fractional (109 cGy/min, 5 Gy*2) total body irradiation. The behavior and activity of mice were assessed 60 days after ionizing radiation (IR) exposure. After that, the pathological changes and mechanism of the mouse brain and femoral tissues were observed by HE, Nissl, Trap staining micro-CT scanning and RNA sequencing

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35

Blackwood, Sarah J., Ester Hanya, and Abram Katz. "Heating after intense repeated contractions inhibits glycogen accumulation in mouse EDL muscle: role of phosphorylase in postexercise glycogen metabolism." American Journal of Physiology-Cell Physiology 315, no. 5 (2018): C706—C713. http://dx.doi.org/10.1152/ajpcell.00315.2018.

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The effects of heating on glycogen synthesis (incorporation of [14C]glucose into glycogen) and accumulation after intense repeated contractions were investigated. Isolated mouse extensor digitorum longus muscle (type II) was stimulated electrically to perform intense tetanic contractions at 25°C. After 120 min recovery at 25°C, glycogen accumulated to almost 80% of basal, whereas after recovery at 35°C, glycogen remained low (~25% of basal). Glycogen synthesis averaged 0.97 ± 0.07 µmol·30 min−1·g wet wt−1 during recovery at 25°C and 1.48 ± 0.08 during recovery at 35°C ( P < 0.001). There we

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36

Prathumwan, Din, Inthira Chaiya, and Kamonchat Trachoo. "Study of Transmission Dynamics of Streptococcus suis Infection Mathematical Model between Pig and Human under ABC Fractional Order Derivative." Symmetry 14, no. 10 (2022): 2112. http://dx.doi.org/10.3390/sym14102112.

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In this paper, a mathematical model for Streptococcus suis infection is improved by using the fractional order derivative. The modified model also investigates the transmission between pigs and humans. The proposed model can classify the pig population density into four classes, which are pig susceptible class, pig infectious class, pig quarantine class, and pig recovery class. Moreover, the human population density has been separated into three classes, these are human susceptible class, human infectious class, and human recovery class. The spread of the infection is analyzed by considering t

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37

Zhang, Yun, Ting Wei, and Xiongbin Yan. "Recovery of advection coefficient and fractional order in a time-fractional reaction–advection–diffusion-wave equation." Journal of Computational and Applied Mathematics 411 (September 2022): 114254. http://dx.doi.org/10.1016/j.cam.2022.114254.

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38

Saha, Sangeeta, Meghadri Das, and Guruprasad Samanta. "Analysis of an SIRS Model in Two-Patch Environment in Presence of Optimal Dispersal Strategy." Axioms 13, no. 2 (2024): 94. http://dx.doi.org/10.3390/axioms13020094.

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Migration or dispersal of population plays an important role in disease transmission during an outbreak. In this work, we have proposed an SIRS compartmental epidemic model in order to analyze the system dynamics in a two-patch environment. Both the deterministic and fractional order systems have been considered in order to observe the impact of population dispersal. The following analysis has shown that we can have an infected system even if the basic reproduction number in one patch becomes less than unity. Moreover, higher dispersal towards a patch controls the infection level in the other

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Zhang, Jingming, Jiang Liu, Bilong Liu, and Min Li. "Fractional Order PID Control Based on Ball Screw Energy Regenerative Active Suspension." Actuators 11, no. 7 (2022): 189. http://dx.doi.org/10.3390/act11070189.

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A ball screw type energy regenerative active suspension under fractional order PID control is proposed and studied in order to improve the vibration damping performance of the suspension. A mathematical model of the energy regenerative actuator is established, the energy recovery power at different frequencies is measured through experiments, and then the electromagnetic torque constant, representing the proportional relationship between the output torque and current of the motor, is calculated according to the experimental results. A mathematical model of the control circuit is established an

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Rebai, Hajer, Imen Abdennadher, and Ahmed Masmoudi. "Torque production improvement of a five phase fractional-slot PM machine under faulty operation." COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 34, no. 6 (2015): 1758–70. http://dx.doi.org/10.1108/compel-06-2015-0240.

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Purpose – The purpose of this paper is to deal with several approach to recover the torque production capability of a five phase double-layer fractional-slot PM machine under faulty operation. The considered fault is an open-circuit coil in a given phase. Design/methodology/approach – In a first step, the mean futures, such as the phase back-EMFs and the electromagnetic torque, are computed by finite element analysis under healthy operation, and are taken as references. Then, they are investigated, under a faulty coil, for different approaches to recover the torque production capability. Findi

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Do, Dinh Nhat, Dinh Phuc Nguyen, Viet-Duc Phung, et al. "Fractionating of Lemongrass (Cymbopogon citratus) Essential Oil by Vacuum Fractional Distillation." Processes 9, no. 4 (2021): 593. http://dx.doi.org/10.3390/pr9040593.

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Lemongrass essential oil has many compounds appropriate for application in foods, cosmetics, and pharmaceutical products. Of these, citral is a high-value compound of interest to industry. This work aims to evaluate the use of vacuum fractional distillation to separate lemongrass essential oil compounds, producing essential oil fractions containing high citral content. The effect of process parameters, namely vacuum pressure, type column, and energy input, on the fractionation time, content, and recovery of citral in the fractions, was investigated. The fractionation of lemongrass oils success

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Valeev, A. R., R. R. Tashbulatov, and T. A. Barabanshchikova. "Recovery of oil viscosity values according to its additive parameters." SOCAR Proceedings, no. 1 (March 30, 2024): 76–80. http://dx.doi.org/10.5510/ogp20240100943.

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Considering the complexity of mixtures formed within extensive and intricate pipeline networks, determining the viscosity of mixtures through a computational method that utilizes parameters conducive to additivity is advantageous. These parameters may include the density and component composition, as well as corresponding derivatives, such as the content of paraffins, resins, asphaltenes, and fractional composition. This study explored the relationship between the viscosity and these parameters. A linear regression model for estimating the logarithm of the viscosity was developed, where signif

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Umoh, F. O., V. E. Osodeke, and G. S. Effiong. "Fractional Recovery of Applied Potassium in Soils of Southeastern Nigeria." Greener Journal of Soil Science and Plant Nutrition 4, no. 3 (2017): 030–35. http://dx.doi.org/10.15580/gjsspn.2017.3.080117100.

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Angstmann, C. N., B. I. Henry, and A. V. McGann. "A Fractional Order Recovery SIR Model from a Stochastic Process." Bulletin of Mathematical Biology 78, no. 3 (2016): 468–99. http://dx.doi.org/10.1007/s11538-016-0151-7.

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Kollmannsberger, H., and R. G. Berger. "Industrial recovery of strawberry flavour ? fractional distillation versus plate condensation." Zeitschrift f�r Lebensmittel-Untersuchung und -Forschung 198, no. 6 (1994): 491–94. http://dx.doi.org/10.1007/bf01192846.

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Batiha, Iqbal M., Ahmad A. Abubaker, Iqbal H. Jebril, Suha B. Al-Shaikh, Khaled Matarneh, and Manal Almuzini. "A Mathematical Study on a Fractional-Order SEIR Mpox Model: Analysis and Vaccination Influence." Algorithms 16, no. 9 (2023): 418. http://dx.doi.org/10.3390/a16090418.

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This paper establishes a novel fractional-order version of a recently expanded form of the Susceptible-Exposed-Infectious-Recovery (SEIR) Mpox model. This model is investigated by means of demonstrating some significant findings connected with the stability analysis and the vaccination impact, as well. In particular, we analyze the fractional-order Mpox model in terms of its invariant region, boundedness of solution, equilibria, basic reproductive number, and its elasticity. In accordance with an effective vaccine, we study the progression and dynamics of the Mpox disease in compliance with va

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Mampi Saha. "On Fractional Epidemic Model Order Shigella." Communications on Applied Nonlinear Analysis 32, no. 9s (2025): 2478–86. https://doi.org/10.52783/cana.v32.4541.

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Introduction: We have adapted the continuous mathematical framework developed to examine the dynamics of a Shigella epidemic at a constant recruitment rate. They divided the population into seven groups in their model: susceptible (S), vaccination(V), exposé(E), infected (I), isolated (G), hospitalized(H) and recovered (R), each with its own set of parameters. We examined a mathematical model of a Shigella outbreak in a community with a constant population using the SVEIGHR compartmental nonlinear deterministic approach. The model was subjected to analytical investigations utilizing the linear

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Lukia, Buganzi, and Abdullahi Mohammed Baba. "Mathematical Modeling of Prostate Cancer in Uganda Using the Atangana-Baleanu Caputo Derivative." International Journal of Science for Global Sustainability 11, no. 1 (2025): 185–95. https://doi.org/10.57233/ijsgs.v11i1.801.

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This paper introduces a mathematical model to better understand how prostate cancer progresses in a population, using the Atangana-Baleanu Caputo fractional derivative. The model divides the population into different groups: susceptible individuals, those exposed to cancer-causing factors, individuals at various stages of infection, and those who have recovered. The exposed and infected groups represent the different stages of cancer, while the recovered group accounts for people who have overcome the disease through treatment or natural remission. By using fractional derivatives, the model ca

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Rihan, Fathalla A., Dumitru Baleanu, S. Lakshmanan, and R. Rakkiyappan. "On Fractional SIRC Model withSalmonellaBacterial Infection." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/136263.

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We propose a fractional order SIRC epidemic model to describe the dynamics ofSalmonellabacterial infection in animal herds. The infection-free and endemic steady sates, of such model, are asymptotically stable under some conditions. The basic reproduction numberℛ0is calculated, using next-generation matrix method, in terms of contact rate, recovery rate, and other parameters in the model. The numerical simulations of the fractional order SIRC model are performed by Caputo’s derivative and using unconditionally stable implicit scheme. The obtained results give insight to the modelers and infect

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Abdullah, Tariq Q. S., Gang Huang, Wadhah Al-Sadi, Yasser Aboelmagd, and Wael Mobarak. "Fractional Dynamics of Cassava Mosaic Disease Model with Recovery Rate Using New Proposed Numerical Scheme." Mathematics 12, no. 15 (2024): 2386. http://dx.doi.org/10.3390/math12152386.

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Food security is a basic human right that guarantees humans an adequate amount of nutritious food. However, plant viruses and agricultural pests cause real damage to food sources, leading to negative impacts on meeting the human right of obtaining a sufficient amount of food. Understanding infectious disease dynamics can help us to design appropriate control and prevention strategies. Although cassava is among the most produced and consumed crops and greatly contributes to food security, cassava mosaic disease causes a decrease in photosynthesis and reduces cassava yield, resulting in a lack o

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