A Note on the Non‐Local Heat Equation With Time Delay

ABSTRACT In the constitutive equation of the heat flux with kernel in the form of a general fractional derivative of Riesz type, the time delay of the form is introduced. The resulting generalized heat conduction equation is derived. The influence of parameters on the solution is studied numerically.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-11-10
DOI
https://doi.org/10.1002/mma.70304
Primary Topic
Thermoelastic and Magnetoelastic Phenomena
Type
article
Field-Weighted Citation Impact
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article

A Note on the Non‐Local Heat Equation With Time Delay

Ersin Gilić, Enes Kačapor, Teodor M. Atanacković, Diana Dolicanin-Djekic
Mathematical Methods in the Applied Sciences
Thermoelastic and Magnetoelastic Phenomena
article

A Note on the Non‐Local Heat Equation With Time Delay

Ersin Gilić, Enes Kačapor, Teodor M. Atanacković, Diana Dolicanin-Djekic
article en

Abstract

ABSTRACT In the constitutive equation of the heat flux with kernel in the form of a general fractional derivative of Riesz type, the time delay of the form is introduced. The resulting generalized heat conduction equation is derived. The influence of parameters on the solution is studied numerically.

Mathematical Methods in the Applied SciencesVol. 49(4)
University of Novi Sad (RS), State University of Novi Pazar (RS), Technical College of Applied Sciences (RS)
Openalex Percentile: Top 61%
Thermoelastic and Magnetoelastic Phenomena
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