Advanced Fractional Thermoelastic Model for Isotropic 3D Materials with Two-Temperature Approach with Mittag-Leffler Kernel Integration

Advanced Fractional Thermoelastic Model for Isotropic 3D Materials with Two-Temperature Approach with Mittag-Leffler Kernel Integration | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL Mathematical Methods in the Applied Sciences This is a preprint and has not been peer reviewed. Data may be preliminary. 13 September 2025 V1 Latest version Share on Advanced Fractional Thermoelastic Model for Isotropic 3D Materials with Two-Temperature Approach with Mittag-Leffler Kernel Integration Authors : Yazeed Alhassan 0009-0006-9626-6218 [email protected] and Ahmed E. Abouelregal Authors Info & Affiliations https://doi.org/10.22541/au.175776132.29570955/v1 Published Mathematical Methods in the Applied Sciences Version of record Peer review timeline 226 views 131 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This study introduces a novel fractional thermoelastic model to analyze the behavior of isotropic three-dimensional solids by combining the Green-Naghdi framework, the two-temperature theory, and the Moore-Gibson-Thompson (MGT) equation. The approach incorporates nonlocal memory effects through a two-parameter Mittag-Leffler fractional derivative, offering a more sophisticated representation of thermal interactions. The model specifically investigates the response of materials under free surface conditions exposed to laser-induced convection, characterized by a Gaussian distribution in both time and space. Analytical solutions are derived using a combination of Laplace and multi-Fourier transform techniques, supplemented by numerical simulations to assess the influence of key parameters. The results reveal that the two-temperature parameter significantly affects the amplitude and phase of thermal and mechanical responses, while the relaxation time and fractional-order coefficients determine the decay rates and oscillation patterns of system behavior. This fractional thermoelastic perspective provides deeper insights into thermal dynamics, paving the way for advanced engineering applications in thermal insulation design, high-efficiency heat exchangers, and next-generation energy storage systems. Supplementary Material File (2 manuscript.docx) Download 832.65 KB Information & Authors Information Version history V1 Version 1 13 September 2025 Peer review timeline Published Mathematical Methods in the Applied Sciences Version of Record 19 Mar 2026 Published Copyright This work is licensed under a Non Exclusive No Reuse License. Collection Mathematical Methods in the Applied Sciences Keywords 3d solid fractional heat conduction mgt equation mittag-leffler two-temperature Authors Affiliations Yazeed Alhassan 0009-0006-9626-6218 [email protected] Jouf University View all articles by this author Ahmed E. Abouelregal Jouf University View all articles by this author Metrics & Citations Metrics Article Usage 226 views 131 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Yazeed Alhassan, Ahmed E. Abouelregal. Advanced Fractional Thermoelastic Model for Isotropic 3D Materials with Two-Temperature Approach with Mittag-Leffler Kernel Integration. Authorea . 13 September 2025. DOI: https://doi.org/10.22541/au.175776132.29570955/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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