Abstract
In this article, the Elzaki decomposition method is used to evaluate the solution of fractional-order telegraph equations. The approximate analytical solution is obtained within the Caputo derivative operator. The examples are provided as a solution to illustrate the feasibility of the proposed methodology. The result of the proposed method and the exact solution is shown and analyzed with figures help. The analytical strategy generates the series form solution, with less computational work and a fast convergence rate to the exact solutions. The obtained results have shown a useful and straightforward procedure to analyze the problems in related areas of science and technology.
Highlights
Fractional differential equations (FDEs) have appeared as a new branch of applied mathematics and have been utilized in several mathematical systems in applied science.FDEs are an alternative type to non-linear equations
Signal losses need to be determined to the transmission media
Telegraph equations are used for electrical signal propagation in the signal analysis, wave propagation, transmission line cable, random walk, and so forth
Summary
Fractional differential equations (FDEs) have appeared as a new branch of applied mathematics and have been utilized in several mathematical systems in applied science. Various forms play an essential role and techniques, in mathematics and in mechanics, process control, complex schemes and technology, to produce mathematical modelling of several natural processes Electromagnetic fields carry the signal over part or all communication channels through microwave communication and radiofrequency systems Such electromagnetic waves are broadcast and processed by the antenna. We implemented EDM to solve the time-fractional telegraph equations. EDM is one of the straightforward and effective methods to solve linear and nonlinear fractional partial differential equations. The EDM is applied to solve time-fractional telegraph equations. The. EDM solution are determined for a particular model of fractional-order telegraph equations. The present technique solving other fractional-order linear and non-linear PDEs
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