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Journal Articles

Fractal derivative creep constitutive model of rock considering hardening and damage effects

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Wenbo Liu, Shuguang Zhang, Yipin Liu, Xiang Huang, Yingbo Li, Dipeng Zhu, Wenwu Ou
Journal: Physics of Fluids
Physics of Fluids 37, 067126 (2025)
https://doi.org/10.1063/5.0267819
Published: June 2025
View articletitled, Fractal derivative creep constitutive model of rock considering hardening and damage effects
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Journal Articles

Numerical analysis of blood flow and heat transfer in a stenosed and aneurysmal artery using a spatial fractional derivative constitutive model

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Yuehua Jiang, Yong Zhang, HongGuang Sun
Journal: Physics of Fluids
Physics of Fluids 37, 063113 (2025)
https://doi.org/10.1063/5.0270978
Published: June 2025
View articletitled, Numerical analysis of blood flow and heat transfer in a stenosed and aneurysmal artery using a spatial fractional derivative constitutive model
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Journal Articles

Time-fractional shallow water wave equation with fuzzy uncertainty

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Mrutyunjaya Sahoo, Snehashish Chakraverty
Journal: Physics of Fluids
Physics of Fluids 37, 057112 (2025)
https://doi.org/10.1063/5.0269021
Published: May 2025
View articletitled, Time-fractional shallow water wave equation with fuzzy uncertainty
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Journal Articles

Fractional nanofluid flow dynamics of thermal transport and entropy generation in a wavy porous enclosure containing a hot circular cylinder

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Deepika Parmar, S. V. S. S. N. V. G. Krishna Murthy, Kambiz Vafai, Khalil Khanafer, B. V. Rathish Kumar, Sumant Kumar
Journal: Physics of Fluids
Physics of Fluids 37, 037164 (2025)
https://doi.org/10.1063/5.0255831
Published: March 2025
View articletitled, Fractional nanofluid flow dynamics of thermal transport and entropy generation in a wavy porous enclosure containing a hot circular cylinder
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Journal Articles

Modeling liquid–vapor fronts in porous media using time-fractional derivatives: An innovative framework

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Zafar Hayat Khan, Meijiang Zhou, Alexander Trounev, Waqar Ahmed Khan
Journal: Physics of Fluids
Physics of Fluids 37, 032112 (2025)
https://doi.org/10.1063/5.0259241
Published: March 2025
View articletitled, Modeling liquid–vapor fronts in porous media using time-fractional derivatives: An innovative framework
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Journal Articles

Comparative study on the fractional rheology-informed neural networks for the time-dependent mechanical behavior of polymer solutions

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Ruifan Meng (孟瑞繁), Jiecheng Chen (陈杰城), Zihong Xu (许梓鸿)
Journal: Physics of Fluids
Physics of Fluids 37, 027177 (2025)
https://doi.org/10.1063/5.0255323
Published: February 2025
View articletitled, Comparative study on the fractional rheology-informed neural networks for the time-dependent mechanical behavior of polymer solutions
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Journal Articles

A regional spatial nonlocal continuous time random walk model for tracer transport in fluids

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ZhiPeng Li, HongGuang Sun
Journal: Physics of Fluids
Physics of Fluids 37, 026611 (2025)
https://doi.org/10.1063/5.0249919
Published: February 2025
View articletitled, A regional spatial nonlocal continuous time random walk model for tracer transport in fluids
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Journal Articles

High-precision Euler wavelet methods for fractional Navier–Stokes equations and two-dimensional fluid dynamics

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Mutaz Mohammad, Alexander Trounev, Sachin Kumar
Journal: Physics of Fluids
Physics of Fluids 36, 127143 (2024)
https://doi.org/10.1063/5.0235658
Published: December 2024
View articletitled, High-precision Euler wavelet methods for fractional Navier–Stokes equations and two-dimensional fluid dynamics
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Journal Articles

High-accuracy solution for fractional solitary wave dynamics in finite water depth with linear shear flow, wind, and dissipation effects

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Yue Zhou (周悦), Hang Xu (徐航)
Journal: Physics of Fluids
Physics of Fluids 36, 127141 (2024)
https://doi.org/10.1063/5.0246551
Published: December 2024
View articletitled, High-accuracy solution for fractional solitary wave dynamics in finite water depth with linear shear flow, wind, and dissipation effects
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Journal Articles

Brownian and fractional polymers with self-repulsion

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Samuel Eleutério, R. Vilela Mendes
Journal: Physics of Fluids
Physics of Fluids 36, 122006 (2024)
https://doi.org/10.1063/5.0234625
Published: December 2024
View articletitled, Brownian and fractional polymers with self-repulsion
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Journal Articles

Integrating classical and fractional calculus rheological models in developing hydroxyapatite-enhanced hydrogels

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Paula Cambeses-Franco, Ramón Rial, Juan M. Ruso
Journal: Physics of Fluids
Physics of Fluids 36, 073101 (2024)
https://doi.org/10.1063/5.0213561
Published: July 2024
View articletitled, Integrating classical and fractional calculus rheological models in developing hydroxyapatite-enhanced hydrogels
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Journal Articles

Investigating integrodifferential equations associated with fractal–fractional differential operators

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G. Gokulvijay, S. Sabarinathan
Journal: Physics of Fluids
Physics of Fluids 36, 057126 (2024)
https://doi.org/10.1063/5.0206277
Published: May 2024
View articletitled, Investigating integrodifferential equations associated with fractal–fractional differential operators
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Journal Articles

Modeling of anomalous thermal conduction in thermoelectric magnetohydrodynamics: Couette formulation with a multiphase pressure gradient

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Emad Awad
Journal: Physics of Fluids
Physics of Fluids 36, 033608 (2024)
https://doi.org/10.1063/5.0190970
Published: March 2024
View articletitled, Modeling of anomalous thermal conduction in thermoelectric magnetohydrodynamics: Couette formulation with a multiphase pressure gradient
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Journal Articles

Invariant analysis, exact solutions, and conservation laws of time fractional thin liquid film equations

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Jinyu Ma, Xiaoyu Cheng, Lizhen Wang
Journal: Physics of Fluids
Physics of Fluids 36, 027141 (2024)
https://doi.org/10.1063/5.0189308
Published: February 2024
View articletitled, Invariant analysis, exact solutions, and conservation laws of time fractional thin liquid film equations
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Journal Articles

On the shock wave approximation to fractional generalized Burger–Fisher equations using the residual power series transform method

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S. A. El-Tantawy, R. T. Matoog, Rasool Shah, Albandari W. Alrowaily, Sherif M. E. Ismaeel
Journal: Physics of Fluids
Physics of Fluids 36, 023105 (2024)
https://doi.org/10.1063/5.0187127
Published: February 2024
View articletitled, On the shock wave approximation to fractional generalized Burger–Fisher equations using the residual power series transform method
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Journal Articles

Laun's rule for predicting the first normal stress coefficient in complex fluids: A comprehensive investigation using fractional calculus

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Mohua Das, Joshua David John Rathinaraj, Liviu Iulian Palade, Gareth H. McKinley FRS
Journal: Physics of Fluids
Physics of Fluids 36, 013111 (2024)
https://doi.org/10.1063/5.0179709
Published: January 2024
View articletitled, Laun's rule for predicting the first normal stress coefficient in complex fluids: A comprehensive investigation using fractional calculus
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Journal Articles

Thermal analysis of magnetized Walter's-B fluid with the application of Prabhakar fractional derivative over an exponentially moving inclined plate

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Bushra Ishtiaq (بشریٰ اشتیاق), Sohail Nadeem (سهيل نديم), Jehad Alzabut (جهاد الزبوط), Cihad Alzabut
Journal: Physics of Fluids
Physics of Fluids 35, 123115 (2023)
https://doi.org/10.1063/5.0179491
Published: December 2023
View articletitled, Thermal analysis of magnetized Walter's-B fluid with the application of Prabhakar fractional derivative over an exponentially moving inclined plate
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Journal Articles

Fluid flow during phase transition: From viscous fluid to viscoelastic solid via variable-order calculus

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E. Istenič, M. Brojan
Journal: Physics of Fluids
Physics of Fluids 35, 123103 (2023)
https://doi.org/10.1063/5.0177121
Published: December 2023
View articletitled, Fluid flow during phase transition: From viscous fluid to viscoelastic solid via variable-order calculus
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Journal Articles

Erratum: “Numerical study of entropy generation in magneto-convective flow of nanofluid in porous enclosure using fractional order non-Darcian model” [Phys. Fluids 35 , 097142 (2023)]

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Deepika Parmar, B. V. Rathish Kumar, S. V. S. S. N. V. G. Krishna Murthy, Sumant Kumar
Journal: Physics of Fluids
Physics of Fluids 35, 129902 (2023)
https://doi.org/10.1063/5.0180642
Published: December 2023
View articletitled, Erratum: “Numerical study of entropy generation in magneto-convective flow of nanofluid in porous enclosure using fractional order non-Darcian model” [Phys. Fluids 35 , 097142 (2023)]
Open the PDF for Erratum: “Numerical study of entropy generation in magneto-convective flow of nanofluid in porous enclosure using fractional order non-Darcian model” [Phys. Fluids 35 , 097142 (2023)] in another window
Journal Articles

Mathematical modeling of a novel fractional-order monkeypox model using the Atangana–Baleanu derivative

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A. Santanu Biswas, B. Humaira Aslam, Pankaj Kumar Tiwari
Journal: Physics of Fluids
Physics of Fluids 35, 117130 (2023)
https://doi.org/10.1063/5.0174767
Published: November 2023
View articletitled, Mathematical modeling of a novel fractional-order monkeypox model using the Atangana–Baleanu derivative
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