Articles with "fractional heat" as a keyword



Photo by jontyson from unsplash

Stochastic solutions for time-fractional heat equations with complex spatial variables

Sign Up to like & get
recommendations!
Published in 2022 at "Fractional Calculus and Applied Analysis"

DOI: 10.1007/s13540-021-00011-1

Abstract: We deal with complex spatial diffusion equations with time-fractional derivative and study their stochastic solutions. In particular, we complexify the integral operator solution to the heat-type equation where the time derivative is replaced with the… read more here.

Keywords: time; stochastic solutions; time fractional; complex spatial ... See more keywords
Photo from wikipedia

Fractional heat conduction with heat absorption in a sphere under Dirichlet boundary condition

Sign Up to like & get
recommendations!
Published in 2018 at "Computational and Applied Mathematics"

DOI: 10.1007/s40314-018-0585-7

Abstract: The time-fractional heat conduction equation with the Caputo derivative and with heat absorption term proportional to temperature is considered in a sphere in the case of central symmetry. The fundamental solution to the Dirichlet boundary… read more here.

Keywords: heat absorption; heat conduction; dirichlet boundary; fractional heat ... See more keywords
Photo from wikipedia

Fractional heat conduction in a thin hollow circular disk and associated thermal deflection

Sign Up to like & get
recommendations!
Published in 2018 at "Journal of Thermal Stresses"

DOI: 10.1080/01495739.2017.1393645

Abstract: ABSTRACT The time nonlocal generalization of the classical Fourier law with the “Long-tail” power kernel can be interpreted in terms of fractional calculus and leads to the time fractional heat conduction equation. The solution to… read more here.

Keywords: heat; heat conduction; thermal deflection; fractional heat ... See more keywords
Photo by villepalmu from unsplash

Optimal Control Problem for a Conformable Fractional Heat Conduction Equation

Sign Up to like & get
recommendations!
Published in 2017 at "Acta Physica Polonica A"

DOI: 10.12693/aphyspola.132.658

Abstract: This paper presents an optimal boundary temperature control of thermal stresses in a plate, based on timeconformable fractional heat conduction equation. The aim is to find the boundary temperature that takes thermal stress under control.… read more here.

Keywords: control; heat conduction; conduction equation; fractional heat ... See more keywords
Photo by makcedward from unsplash

Application of DGJ method for solving non-linear local fractional heat equations

Sign Up to like & get
recommendations!
Published in 2019 at "Thermal Science"

DOI: 10.2298/tsci180825225d

Abstract: In this paper, the initial value problem for a new non-linear local fractional heat equation is considered. The fractional complex transform method and the DGJ decomposition method are used to solve the problem, and the… read more here.

Keywords: non linear; method; local fractional; fractional heat ... See more keywords
Photo from wikipedia

Analysis of Time-Fractional Heat Transfer and its Thermal Deflection in a Circular Plate by a Moving Heat Source

Sign Up to like & get
recommendations!
Published in 2020 at "International Journal of Applied Mechanics and Engineering"

DOI: 10.2478/ijame-2020-0040

Abstract: Abstract Mathematical modeling of a thin circular plate has been made by considering a nonlocal Caputo type time fractional heat conduction equation of order 0 < α ≤ 2, by the action of a moving… read more here.

Keywords: deflection; time fractional; plate; circular plate ... See more keywords
Photo from wikipedia

Generalized Fractional Heat Conduction in a One-Dimensional Functionally Graded Material Layer

Sign Up to like & get
recommendations!
Published in 2019 at "Journal of Thermophysics and Heat Transfer"

DOI: 10.2514/1.t5667

Abstract: Functionally graded materials (FGMs) have been widely used. This work studies a heat conduction problem in an FGM layer with different exponential gradients. Based on a generalized fractional heat ... read more here.

Keywords: functionally graded; heat; fractional heat; heat conduction ... See more keywords