Exact Analytical Solutions of Fractional Order Telegraph Equations Via Triple Laplace Transform
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Date
2021
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Amer inst Mathematical Sciences-aims
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GOLD
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Abstract
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
Description
Keywords
Initial, Boundary Value Problems, Double And Triple Laplace Transform, Exact Solutions, Fractional Telegraph Equations, Fractional derivatives and integrals, double and triple Laplace transform, Transform methods (e.g., integral transforms) applied to PDEs, fractional telegraph equations, Fractional ordinary differential equations, Initial-boundary value problems for second-order hyperbolic equations, exact solutions, Fractional partial differential equations, Solutions to PDEs in closed form, initial/boundary value problems
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Fields of Science
0101 mathematics, 01 natural sciences
Citation
Khan, Rahmat Ali; Li, Yongjin; Jarad, Fahd (2021). "Exact analytical solutions of fractional order telegraph equations via triple laplace transform", Discrete and Continuous Dynamical Systems - Series S, Vol. 14, No. 7, pp. 2387-2397.
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Q3
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Q2
OpenCitations Citation Count
4
Source
Discrete and Continuous Dynamical Systems - Series S
Volume
14
Issue
7
Start Page
2387
End Page
2397
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