Thermal Science

A multi-scale artificial intelligence fractal convection diffusion in a porous nanofiber membrane

THERMAL SCIENCE, volume 29, No. 3, YEAR 2025

fractal convection diffusion, fractional derivative, numerical method, convection-diffusion process, nanofiber membrane

Pressure distribution in gas microbearing modeled with fractional derivatives for all rarefaction degrees

THERMAL SCIENCE, volume 29, No. 1, YEAR 2025

slider microbearing, Reynolds lubrication equation, fractional derivative, Knudsen number, analytical solution

Stochastic stability of the fractional and tri-stable Van der vol oscillator with time-delay feedback driven by Gaussian white noise

THERMAL SCIENCE, volume 27, No. 3, YEAR 2023

stochastic P-bifurcation, fractional derivative, gaussian white noises, transition set curves, Monte-Carlo simulation

A new approach to fractional differential equations

THERMAL SCIENCE, volume 27, Special Issue, YEAR 2023

mean function, fractional derivative, ODE, FDE

Oscillation theorems for conformable fractional differential equations with damping

THERMAL SCIENCE, volume 26, Special Issue 2, YEAR 2022

oscillation, fractional derivative, damping term

Oscillation analysis of conformable fractional generalized Lienard equations

THERMAL SCIENCE, volume 26, Special Issue 2, YEAR 2022

oscillation, Lienard equation, fractional derivative

Unsteady flow of Casson nanofluid through generalized Fourier's and Fick's law for heat and mass transfer

THERMAL SCIENCE, volume 26, Special Issue, YEAR 2022

Casson fluid, clay nanoparticles, heat generation, chemical reaction, constant proportional Caputo, fractional derivative

Stochastic transition behaviors in a tri-stable van der Pol oscillator with fractional delayed element subject to Gaussian white noise

THERMAL SCIENCE, volume 26, No. 3, YEAR 2022

stochastic P-bifurcation, fractional derivative, gaussian white noises, transition set curves, Monte-Carlo simulation

The modulation of response caused by the fractional derivative in the Duffing system under super-harmonic resonance

THERMAL SCIENCE, volume 25, No. 3, YEAR 2021

fractional derivative, Duffing oscillator, super-harmonic resonance, critical parameters, spectrum analysis

Analytical methods for non-linear fractional Kolmogorov-Petrovskii-Piskunov equation: Soliton solution and operator solution

THERMAL SCIENCE, volume 25, No. 3, YEAR 2021

fractional derivative, fractional KPP equation, analytical method, exact solution, operator solution, kink-soliton solution

Exact solutions of fractional nonlinear equations by generalized bell polynomials and bilinear method

THERMAL SCIENCE, volume 25, No. 2, YEAR 2021

fractional derivative, Bell polynomials, bilinear form, Burgers equation, classical Boussinesq-Burgers equations

Numerical research of non-isothermal filtration process in fractal medium with non-locality in time

THERMAL SCIENCE, volume 25, No. 1, YEAR 2021

differential equation, difference scheme, stability, fractional derivative, non-isothermal filtration

The analytic solutions for the unsteady rotating flows of the generalized Maxwell fluid between coaxial cylinders

THERMAL SCIENCE, volume 24, No. 6, YEAR 2020

generalized Maxwell fluid, fractional derivative, finite Hankel transform, oscillating pressure gradient, analytic solutions

Analytical solutions to contact problem with fractional derivatives in the sense of Caputo

THERMAL SCIENCE, volume 24, Supplement, YEAR 2020

contact problem, obstacle, variational iteration method, fractional derivative

Two-scale mathematics and fractional calculus for thermodynamics

THERMAL SCIENCE, volume 23, No. 4, YEAR 2019

continuum mechanics, fractal space, fractal derivative, fractional derivative, scale-dependent law, two-scale thermodynamics

A new fractional derivative model for the anomalous diffusion problem

THERMAL SCIENCE, volume 23, Supplement 3, YEAR 2019

fractional derivative, exponential decay kernel, anomalous diffusion, analytical solution, laplace transform

Oscillation properties of solutions of fractional neutral differential equations

THERMAL SCIENCE, volume 23, Supplement, YEAR 2019

oscillation, neutral, delay, fractional derivative, fractional differential equations, oscillation theory

A note on Cattaneo-Hristov model with non-singular fading memory

THERMAL SCIENCE, volume 21, No. 1, YEAR 2017

Cattaneo-Hristov model, non-singular fading memory, fractional derivative

Reconstruction of the thermal conductivity coefficient in the space fractional heat conduction equation

THERMAL SCIENCE, volume 21, No. 1, YEAR 2017

inverse problem, thermal conductivity coefficient, fractional derivative, identification, space fractional heat conduction equation

An analysis of heat conduction in polar bear hairs using one-dimensional fractional model

THERMAL SCIENCE, volume 20, No. 3, YEAR 2016

heat conduction, fractional derivative, polar bear, membrane-pore structure, fractional model

New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

THERMAL SCIENCE, volume 20, No. 2, YEAR 2016

fractional derivative, nonlocal kernel, no singular kernel, generalized Mittag-Leffler function, fractional heat transfer model

Numerical analysis of time fractional three dimensional diffusion equation

THERMAL SCIENCE, volume 19, Supplement, YEAR 2015

three dimensional diffusion equations, fractional derivative, stability, convergence

Solutions for a fractional diffusion equation with radial symmetry and integro-differential boundary conditions

THERMAL SCIENCE, volume 19, Supplement, YEAR 2015

fractional derivative, diffusion equation, anomalous diffusion

Diffusion models of heat and momentum with weakly singular kernels in the fading memories: How the integral-balance method can be applied?

THERMAL SCIENCE, volume 19, No. 3, YEAR 2015

heat-balance integral method, weakly singular kernel, fading memory, fractional derivative

Thermal Science Journal [keyword: fractional derivative]