 | | 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: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5184 |
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| Ibrahim Abbas, Rakhi Tiwari, and Ahmed E. Abouelregal, "Atangana-Baleanu Fractional Approach to Photothermal Wave Propagation in Semiconductor Materials under the Influence of a Moving Heat Source," Mech. Solids. 60 (5), 4032-4049 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
4032-4049 |
| DOI |
10.1134/S002565442560240X |
| Title |
Atangana-Baleanu Fractional Approach to Photothermal Wave Propagation in Semiconductor Materials under the Influence of a Moving Heat Source |
| Author(s) |
Ibrahim Abbas (Department of Mathematics, Faculty of Science, Sohag University, Egypt)
Rakhi Tiwari (Department of Mathematics, B. R. A. Bihar University, Muzaffarpur, 842001 India, rakhitiwari.rs.apm12@itbhu.ac.in)
Ahmed E. Abouelregal (Department of Mathematics, College of Science, Jouf University, Sakakà, Saudi Arabia; Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516 Egypt) |
| Abstract |
The present article indicates a pioneering investigation into the photo-thermal transport
processes within semiconductor materials influenced by a mobile heat source. This study addresses
critical research gaps by employing an advanced heat transfer theory grounded in fractional derivatives, as formulated by Atangana-Baleanu. This innovative approach incorporates non-singular kernel
functions, enabling the derivation of accurate solutions for complex thermal mechanisms. The
research makes a significant contribution to the field by providing analytical solutions in the frequency
domain through the application of the Laplace transform algorithm and the eigenvalue methodology.
Key findings reveal intricate relationships between various field quantities, including temperature, displacement, carrier density, and thermal stress, which are illustrated through the graphical results.
These results are analyzed across diverse parameters such as material depth, fractional parameters, the
lifetime of photo-generated carriers, as well as the velocity and intensity of the moving heat source.
Notably, the inclusion of fractional quantities elucidates the precise and finite nature of photo-thermal
waves, distinguishing this work from traditional hyperbolic thermoelasticity theories. The implications
of these findings extend to a deeper understanding and optimization of semiconductor materials in practical applications, while also suggesting new avenues for future research in the field of thermal transport. |
| Keywords |
Photo-thermal transport, Semiconductor materials, Mobile heat source, Fractional derivatives, Heat transfer theory, Eigenvalue methodology, Thermal mechanisms thermal optimization |
| Received |
13 May 2025 | Revised |
11 July 2025 | Accepted |
12 July 2025 |
| Link to Fulltext |
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