10.57647/mathsci.2026.46781

Effect of Rotation on Wave Propagation in Micro-elongated Thermo-elastic Media with Fractional Conformable Derivative under the Refined Dual-Phase-Lag Model

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  • Ahmed Ramady1,2,
  • Mohamed F. Ismail3,
  • Hamdy M. Ahmed4,
  • Soliman Alkhatib5,
  • Elsaid M. Ramadan*6,
  • Eslam Nabil Shawki El-Ganzoury7,
  1. GRC Department, The Applied College, King Abdulaziz University, Jeddah, 21589, Saudi Arabia
  2. Department of Mathematics and Computer Science, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
  3. Department of Computer Science, Faculty of Computers and Information Systems, Egyptian Chinese University, Cairo, Egypt
  4. Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk Academy, Cairo, Egypt
  5. College of Engineering and Technology (CET), American University in the Emirates (AUE), Dubai intel Academic City, P.O. Box 503000, Dubai, UAE
  6. Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medina, Saudi Arabia
  7. Department of Physics and Engineering Mathematics, Faculty of Engineering, Ain Shams University, Cairo, Egypt

Received: 2025-11-25

Revised: 2026-01-07

Accepted: 2026-01-27

Published in Issue 2026-03-25

Copyright (c) 2026 Ahmed Ramady, Mohamed F. Ismail, Hamdy M. Ahmed, Soliman Alkhatib, Elsaid M. Ramadan, Eslam Nabil Shawki El-Ganzoury (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Ramady, A., Ismail, M. F., Ahmed, H. M., Alkhatib, S., Ramadan, E. M., & Shawki El-Ganzoury, E. N. (2026). Effect of Rotation on Wave Propagation in Micro-elongated Thermo-elastic Media with Fractional Conformable Derivative under the Refined Dual-Phase-Lag Model. Mathematical Sciences, 20(1). https://doi.org/10.57647/mathsci.2026.46781
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Abstract

This study investigates the impact of rotation on wave propagation within a micro-elongated thermoelastic medium, employing the fractional conformable derivative under Lord-Shulman (L-S) theory, the Dual-Phase-Lag (DPL) model, and the Refined Dual-Phase-Lag (RDPL) model. The governing equations for heat conduction, mechanical motion, and micro-elongation are formulated to account for finite thermal wave speeds and microstructural effects.
By applying non-dimensionalization and normal mode analysis, the coupled system is transformed into analytically solvable form. Explicit solutions for displacement, temperature, stress, and micro-elongation fields are obtained. Numerical results compare L-S, DPL, and RDPL models with and without rotation, and assess the effect of fractional order.
The results show that rotation significantly influences wave propagation characteristics such as amplitude, speed, and attenuation.

Keywords

  • Micro-elongated,
  • Refined Dual-Phase-Lag Model,
  • Rotation,
  • Fractional Conformable Derivative
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