A sustainable method for analyzing and studying the fractional-order panic spreading caused by the COVID-19 pandemic

Partial Differential Equations in Applied Mathematics, Год журнала: 2025, Номер 13, С. 101047 - 101047

Опубликована: Янв. 5, 2025

Язык: Английский

---

Analysis of temperature changes in living tissue using the modified fractional thermal conduction model under laser heat flux on the skin surface

Continuum Mechanics and Thermodynamics, Год журнала: 2024, Номер 37(1)

Опубликована: Дек. 10, 2024

Язык: Английский

---

Dynamics of Jeffrey fluid flow and heat transfer: A Prabhakar fractional operator approach

International Journal of Thermofluids, Год журнала: 2024, Номер 22, С. 100709 - 100709

Опубликована: Май 1, 2024

The primary goal of current study is to formulate a novel mathematical model employing the Prabhakar fractional operator, aimed at examining dynamic behaviour Jeffrey fluid flow and heat transfer phenomena under ramped wall temperature conditions. Our investigation entails meticulous magnetohydrodynamic (MHD) natural convective within fluids, where we derive precise analytical solutions utilizing derivative, characterized by non-singular type kernel. Furthermore, our integrates fundamental principles such as Fick's Fourier's laws into model, leveraging multi-parameter Mittag-Leffler kernel associated with operator. We delve intricacies near an infinitely vertical plate, considering characteristics velocity u0. To address complexities problem, express it in context partial differential equations along side generalized boundary conditions, set appropriate variables transform these dimensionless form. Utilizing Laplace transform, analyze system, presenting outcomes both form series through specialized functions. systematically explore influence key parameters α, Pr, β, Gm, Sc, γ, Gr on dynamics, unveiling significant insights. comparative analysis reveals superior performance Prabhakar-like non-integer approach over existing operators, substantiated graphical representations results. Additionally, extend various limiting cases, including Newtonian fluids second-grade, fractionalized classical forms, thus highlighting versatility applicability proposed dynamics research.

Язык: Английский

---

Fractional derivative modeling of heat transfer and fluid flow around a contracting permeable infinite cylinder: Computational study

Partial Differential Equations in Applied Mathematics, Год журнала: 2024, Номер 11, С. 100794 - 100794

Опубликована: Июль 15, 2024

Understanding the complex interplay between contracting behavior of cylinder and fluid flow dynamics has implications for design porous structures heat exchange filtration systems. In this study, we investigate thermal past a permeable infinite cylinder. First, developed mathematical model based on Navier–Stokes equations to describe around A new simple well-behaved definition fractional derivative called conformal introduced by authors Khalil et al., (2014) is employed generalize PDE's momentum energy. The similarity transformation technique utilized transform proposed problem into non-linear ODE's. Then, IPS numerically solve governing obtain detailed insights patterns characteristics. We observed significant changes in velocity temperature distribution as contracted, highlighting intricate system. Additionally, fraction order was found have notable impact overall transfer processes.

Язык: Английский

---

An efficient wavelet technique for studying the time-fractional Pennes bioheat transfer model

International Journal of Information Technology, Год журнала: 2025, Номер unknown

Опубликована: Май 6, 2025

Язык: Английский

---

Fractional triple-phase lag theory with non-singular kernels: analyzing the thermo-viscoelastic behavior of living skin tissue with bioheat transfer

Acta Mechanica, Год журнала: 2025, Номер unknown

Опубликована: Май 9, 2025

Язык: Английский

---

Fractional Analysis of Magnetohydrodynamics Maxwell Flow Over an Inclined Plate with the Effect of Thermal Radiation

International Journal of Theoretical Physics, Год журнала: 2024, Номер 63(5)

Опубликована: Май 7, 2024

Abstract This current study provides a comprehensive examination of novel method for studying the dynamics fractionalized Maxwell flow near an inclined plate, considering non-uniform mass transfer through permeable media. Through use partial differential equations, incorporating heat and movement effects, employs combination generalized Fick’s Fourier’s law with Caputo operator. Transforming model into dimensionless form using appropriate values, semi-analytical solutions non-dimensional transmitted fractional are obtained via Laplace transformation method. graphical analysis, precise contributions key parameters such as generation, radiation, chemical reactions elucidated, including their impacts on calculated generation parameter (Qo), radiation (Nr), others. The study’s significance lies in its implications design efficient exchangers, fluid systems, cooling components complex engineering nuclear reactors power plants. Furthermore, derivative approach offers more accurate representation viscoelastic behavior materials like polymers, crucial optimizing fabrication processes extrusion molding. insights gained from this extend to realm miniaturized fluidic devices, bio-analysis tools, lab-on-a-chip technology, microfluidic drug delivery where improved performance control need grasp dynamics. physical outcome research lays groundwork future investigations that will maximize efficiency real-world systems give insightful information complicated fluids. We compute display skin friction, rate tabular form.

Язык: Английский

---

Thermal memory and moving linear thermal shocks on heat transfer within biological tissues: an Atangana Baleneau fractional integral

Journal of Thermal Analysis and Calorimetry, Год журнала: 2024, Номер unknown

Опубликована: Дек. 9, 2024

Язык: Английский

---