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

被引：36

作者：

Gomez-Aguilar, J. F. ^{[1
]}

Atangana, Abdon ^{[2
]}

机构：

[1] CENIDET, CONACyT Tecnol Nacl Mexico, Interior Internado Palmira S-N, Col Cuernavaca, Morelos, Mexico

[2] Univ Free State, Fac Nat & Agr Sci, Inst Groundwater Studies, Bloemfontein, South Africa

来源：

JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS | 2019年 / 33卷 / 02期

关键词：

Fractional telegraph equation; Mittag-Leffler function; Crank-Nicholson scheme; Fractional variable-order derivative; 26A33; 65R10; 70Hxx; DIFFUSION;

D O I：

10.1080/09205071.2018.1531791

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页码：165 / 177

页数：13

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