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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…
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Keywords:
time;
stochastic solutions;
time fractional;
complex spatial ... See more keywords
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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…
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Keywords:
heat absorption;
heat conduction;
dirichlet boundary;
fractional heat ... See more keywords
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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…
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Keywords:
heat;
heat conduction;
thermal deflection;
fractional heat ... See more keywords
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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.…
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Keywords:
control;
heat conduction;
conduction equation;
fractional heat ... See more keywords
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1
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…
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Keywords:
non linear;
method;
local fractional;
fractional heat ... See more keywords
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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…
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Keywords:
deflection;
time fractional;
plate;
circular plate ... See more keywords
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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 ...
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Keywords:
functionally graded;
heat;
fractional heat;
heat conduction ... See more keywords