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Assessing
photo-thermal effects in semiconductor media caused by
dynamic loading through memory effects and nonlocal
frameworks
Kishor R. Gaikwad, Rakhi Tiwari, Vivek Tripathi, Abhinav Singhal, Om Namha Shivay, Ahmed Abouelregal and Yazeed Alhassan |
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Vol. 21 (2026), No. 1, 49–69
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DOI: 10.2140/jomms.2026.21.49
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Abstract |
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We investigate a novel meticulous heat transfer model to capture the photo-thermal-elastic interactions efficiently inside a nonlocalized semiconductor material affected from a dynamic thermal loading. For the purpose of apprehending memory and nonlocal effects during complex diffusion processes inside the semiconductor, the Atangana–Baleanu fractional derivative is established on the linearized coupled thermoelastic theory which involves thermal displacement gradient and temperature gradient among the constitutive variables. Laplace transform methodology is acquired for solving the problem. Later on, a suitable algorithm of numerical inversion of the Laplace transform is employed for achieving the computational results in physical domain. As per the graphical results, conclusions about the influences of significant parameters such as fractional parameter, photo-generated carrier life-span and the velocity of dynamic heat source on the dimensionless physical fields like temperature, displacement, stress and carrier density are constructed. Further, the utility of the current advanced heat transfer model is established by comparing the graphical results of physical fields under the current heat transfer theory with the old developed theories of heat transfer models having two phase lags and single phase lag parameter. All the graphical results are evaluated against distinct values of depth of the semiconductor media. We believe that this fine study will support researchers for obtaining promising and optimum results of real world problems where the photo-thermal effects inside the semiconductor are taken into account. |
Keywords
photo-thermoelasticity, AB fractional derivative, nonlocal,
semiconductors, delay times
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Milestones
Received: 7 July 2025
Revised: 9 December 2025
Accepted: 14 December 2025
Published: 9 March 2026
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Authors |
| Kishor R. Gaikwad | |
| PG Department of Mathematics NES, Science College Nanded India |
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| Rakhi Tiwari | |
| Department of Mathematics Babasaheb Bhimrao Ambedkar Bihar University Muzaffarpur India |
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| Vivek Tripathi | |
| Department of Computer Science
Engineering CSE-AI IIMT College of Engineering Greater Noida India |
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| Abhinav Singhal | |
| Department of Mathematics Christ University, Bengaluru Bengaluru India |
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| Om Namha Shivay | |
| Department of Mathematics Vellore Institute of Technology Chennai Chennai India |
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| Ahmed Abouelregal | |
| Department of Mathematics Jouf University Sakaka 72388 Saudi Arabia |
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| Yazeed Alhassan | |
| Department of Mathematics Jouf University Sakaka 72388 Saudi Arabia |
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| © 2026 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
