# American Institute of Mathematical Sciences

## Exact analytical solutions of fractional order telegraph equations via triple Laplace transform

 1 Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber, Pakhtunkhwa, Pakistan 2 Department of Mathematics, Sun Yat-Sen University, Guangzhou, China 3 Department of Mathematics, Çankaya University, 06790 Etimesgut, Ankara, Turkey

* Corresponding author

Received  May 2019 Published  September 2020

In this paper, we study initial/boundary value problems for $1+1$ dimensional and $1+2$ dimensional fractional order telegraph equations. We develop the technique of double and triple Laplace transforms and obtain exact analytical solutions of these problems. The techniques we develop are new and are not limited to only telegraph equations but can be used for exact solutions of large class of linear fractional order partial differential equations

Citation: Rahmat Ali Khan, Yongjin Li, Fahd Jarad. Exact analytical solutions of fractional order telegraph equations via triple Laplace transform. Discrete & Continuous Dynamical Systems - S, doi: 10.3934/dcdss.2020427
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