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

J. F. Gómez-Aguilar and Abdon Atangana

Journal of Electromagnetic Waves and Applications, 2019, vol. 33, issue 2, 165-177

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.

Date: 2019
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DOI: 10.1080/09205071.2018.1531791

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