Analytic and Approximate Solutions of Space-Time Fractional Telegraph Equations via Laplace Transform

Devendra KUMAR; Jagdev SINGH; Sunil KUMAR

Authors

Devendra KUMAR Department of Mathematics, JaganNath Gupta Institute of Engineering and Technology, Jaipur 302022, Rajasthan
Jagdev SINGH Department of Mathematics, Jagan Nath University, Village-Rampura, Tehsil-Chaksu, Jaipur 303901, Rajasthan
Sunil KUMAR Department of Mathematics, National Institute of Technology, Jamshedpur 831014, Jharkhand

Keywords:

Laplace transform method, homotopy perturbation method, space-time fractional telegraph equations, transmission line

Abstract

In this paper, we consider a fractional model of telegraph equation in terms of voltage and current. The fractional derivatives are taken in the Caputo sense. The numerical algorithm based on the homotopy perturbation transform method (HPTM) is applied to obtain analytic and approximate solutions of the space-time fractional telegraph equations. The HPTM is combined in the form of Laplace transform and homotopy perturbation method. The results obtained by the HPTM show that the approach is easy to implement and computationally very attractive.

doi:10.14456/WJST.2014.91

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Author Biographies

Devendra KUMAR, Department of Mathematics, JaganNath Gupta Institute of Engineering and Technology, Jaipur 302022, Rajasthan

Department of Mathematics

Assistant Professor

Jagdev SINGH, Department of Mathematics, Jagan Nath University, Village-Rampura, Tehsil-Chaksu, Jaipur 303901, Rajasthan

Department of Mathematics

Assistant Professor

Sunil KUMAR, Department of Mathematics, National Institute of Technology, Jamshedpur 831014, Jharkhand

Department of Mathematics

Assistant Professor

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