Thermal Science

Fractional calculus innovations and machine learning-driven advances in thermal science

THERMAL SCIENCE, volume 30, No. 2, YEAR 2026

fractional calculus, two-scale fractal derivative, modified fractional derivatives, machine learning, mems, wearable sensors, smart textiles

Thermo-physics: Frontiers, scientific challenges and innovative solutions

THERMAL SCIENCE, volume 30, No. 2, YEAR 2026

Thermo-physics, Interdisciplinary integration, Scientific frontier, Technical challenge, fractional calculus, machine learning, Precise medicine, Low-carbon optimization

Investigating analytical solutions for (2+1)-dimensional M-truncated burgers model

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

M-truncated fractional derivative, fractional calculus, fractional models, Burgers equation

A fractional model and its application to heat prevention coating with cocoon-like hierarchy

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

cocoon, fractional calculus, hierarchical structure, heat prevention

Non-differentiable solutions for non-linear local fractional heat conduction equation

THERMAL SCIENCE, volume 25, Special Issue 2, YEAR 2021

non-differentiable solution, fractional calculus, Painleve analysis, local fractional heat conduction equation, Backlund transformation

Fractional heat equation optimized by a chaotic function

THERMAL SCIENCE, volume 25, Special Issue 2, YEAR 2021

fractional calculus, thermal, heat equation, subordination, chaotic, univalent function, analytic function

Fractal calculus for modeling electrochemical capacitors under dynamical cycling

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

fractal derivative, fractional calculus, periodic solution, discontinuity

The generalized Gegenbauer-Humberts wavelet for solving fractional differential equations

THERMAL SCIENCE, volume 24, Supplement, YEAR 2020

block-pulse functions, operational matrix or integration, the generalized Gegenbauer-Humberts polynomial, fractional calculus, orthogonal polynomials

The reaction dimerization: A resourceful slant applied on the fractional partial differential equation

THERMAL SCIENCE, volume 23, Supplement 6, YEAR 2019

reaction dimerization, the neural network, fractional calculus

An operational matrix for solving time-fractional order Cahn-Hilliard equation

THERMAL SCIENCE, volume 23, Supplement 6, YEAR 2019

fractional calculus, Cahn-Hilliard equation, Laguerre polynomials, porous media, convergence analysis

Modelling the oxygen diffusion equation within the scope of fractional calculus

THERMAL SCIENCE, volume 23, No. 2, YEAR 2019

fractional calculus, oxygen diffusion equation, Mittag-Leffler kernel, fractional conformable derivative

Analysis of fractional non-linear diffusion behaviors based on Adomian polynomials

THERMAL SCIENCE, volume 21, No. 2, YEAR 2017

fractional calculus, two fractional terms, Adomian decomposition method, numerical solutions, Taylor series of fractional order

A fractional model for time-variant non-Newtonian flow

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

fractional calculus, time-dependent, thixotropic, anti-thixotropic, modeling, non-Newtonian flow

Approximate solution of the non-linear diffusion equation of multiple orders

THERMAL SCIENCE, volume 20, Supplement 3, YEAR 2016

new Adomian polynomials, approximate solution, fractional calculus, non-linear diffusion equation

ANALYTICAL AND NUMERICAL METHODS FOR THERMAL SCIENCE

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

analytical methods, fractal geometry, fractional calculus, fractional complex transform, Leibniz's derivative

Solution for a system of fractional heat equations of nanofluid along a wedge

THERMAL SCIENCE, volume 19, Supplement, YEAR 2015

fractional calculus, fractional diffusion equation, fractional heat equation

On two exact solutions of time fractional heat equations using different transforms

THERMAL SCIENCE, volume 19, Supplement, YEAR 2015

fractional calculus, fractional diffusion equation, fractional heat equation

Thermal impedance estimations by semi-derivatives and semi-integrals: 1-D semi-infinite cases

THERMAL SCIENCE, volume 17, No. 2, YEAR 2013

thermal impedance, fractional calculus, half-time fractional derivatives

Thermal impedance at the interface of contacting bodies: 1-D examples solved by semi-derivatives