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Delay-asymptotic solutions for the time-fractional delay-type wave equation

Author

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  • Alquran, Marwan
  • Jaradat, Imad

Abstract

A new version of the wave equation endowed with time-fractional derivative and multiple time-delays is considered. A new form of the generalized Maclaurin fractional series is suggested to extract analytical solution of the model. Graphical investigations on the relation between the fractional derivative and the time-delay are established. Finally, we reported some remarks regarding the new model.

Suggested Citation

  • Alquran, Marwan & Jaradat, Imad, 2019. "Delay-asymptotic solutions for the time-fractional delay-type wave equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    • Handle: RePEc:eee:phsmap:v:527:y:2019:i:c:s0378437119307411
    DOI: 10.1016/j.physa.2019.121275
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    Citations

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    Cited by:

    1. Alquran, Marwan & Yousef, Feras & Alquran, Farah & Sulaiman, Tukur A. & Yusuf, Abdullahi, 2021. "Dual-wave solutions for the quadratic–cubic conformable-Caputo time-fractional Klein–Fock–Gordon equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 62-76.
    2. Abu Arqub, Omar & Al-Smadi, Mohammed, 2020. "An adaptive numerical approach for the solutions of fractional advection–diffusion and dispersion equations in singular case under Riesz’s derivative operator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    3. Jaradat, Imad & Alquran, Marwan & Sulaiman, Tukur A. & Yusuf, Abdullahi, 2022. "Analytic simulation of the synergy of spatial-temporal memory indices with proportional time delay," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

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