 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
|
| In English (Mech. Solids): | | 5124 |
|
| << Previous article | Volume 60, Issue 4 / 2025 | Next article >> |
| Areej Almuneef, Ibrahim Abbas, Alaa A. El-Bary, and Zuhur Alqahtani, "Estimation of Temperature in Biological Tissue Using the Atangana–Baleanu Fractional Model Caused by Laser Irradiation," Mech. Solids. 60 (4), 2605-2616 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
4 |
Pages |
2605-2616 |
| DOI |
10.1134/S0025654425600874 |
| Title |
Estimation of Temperature in Biological Tissue Using the Atangana–Baleanu Fractional Model Caused by Laser Irradiation |
| Author(s) |
Areej Almuneef (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671 Saudi Arabia)
Ibrahim Abbas (Mathematics Department, Faculty of Science, Sohag University, Egypt, ibrabbas7@science.sohag.edu.eg)
Alaa A. El-Bary (Institute of Basic and Applied Science, Arab Academy for Science, Technology and Maritime Transport, Alexandria, Egypt)
Zuhur Alqahtani (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671 Saudi Arabia) |
| Abstract |
This study investigates the thermal effects on skin tissue resulting from laser irradiation, utilizing the Atangana–Baleanu fractional model to describe the bioheat processes. The governing equation for fractional bio-heat problem is expressed in its dimensionless version, enabling an analytical solution in closed form by means of Atangana–Baleanu time-fractional derivative approach. Thermal responses under laser irradiation are analyzed using Laplace transform and numerical inverse transform techniques. The obtained models reduced to both non-Fourier bio-heat and classical Pennes models, so that possible comparison of fractional derivatives in the bio-heat equation can be performed. A numerical study investigated the influences of certain physical parameters, such as the fractional derivative parameter and blood perfusion rate on the temperature change and the thermal damages. |
| Keywords |
Thermal damages, fractional derivatives, Laplace transform, living tissues |
| Received |
24 February 2025 | Revised |
12 April 2025 | Accepted |
27 April 2025 |
| Link to Fulltext |
|
| << Previous article | Volume 60, Issue 4 / 2025 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English