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Time-fractional variable-order telegraph equation involving operators with Mittag-Leffler kernel

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  • J. F. Gómez-Aguilar
  • Abdon Atangana

Abstract

In this paper, we have generalized the time-fractional telegraph equation involving operators with Mittag-Leffler kernel of variable order in Liouville-Caputo sense. The fractional variable-order equation was solved numerically via Crank-Nicholson scheme. We present the existence and uniqueness of the solution. Numerical simulations of the special solutions were done and new behaviors are obtained.

Suggested Citation

  • J. F. Gómez-Aguilar & Abdon Atangana, 2019. "Time-fractional variable-order telegraph equation involving operators with Mittag-Leffler kernel," Journal of Electromagnetic Waves and Applications, Taylor & Francis Journals, vol. 33(2), pages 165-177, January.
    • Handle: RePEc:taf:tewaxx:v:33:y:2019:i:2:p:165-177
    DOI: 10.1080/09205071.2018.1531791
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    Cited by:

    1. Ahmed, Hoda F. & Hashem, W.A., 2023. "A fully spectral tau method for a class of linear and nonlinear variable-order time-fractional partial differential equations in multi-dimensions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 388-408.

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