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SOLVING THE STANDARD TELEGRAPH EQUATION WITH A FRACTIONAL-ORDER DERIVATIVE TERM USING THE LAPLACE-ADOMIAN METHOD
Keywords:
telegraph equation, Laplace transform, Mittag Leffler function, Laplace-Adomian methodDOI:
https://doi.org/10.17654/0972087125025Abstract
In this article, we study the solution of the standard telegraph equation with a fractional derivative term by the Laplace-Adomian method. For this purpose, we establish the convergence of the Laplace-Adomian algorithm applied to the solution of the standard telegraph equation with a fractional-order derivative term, and propose the solution of some models.
Received: April 21, 2025
Accepted: June 24, 2025
References
Youssouf MINOUNGOU, Moussa BAGAYOGO and Youssouf PARE, Resolution of the standard telegraph equation by the Laplace-Adomian method, Journal of Advances in Mathematics and Computer Science 39(2) (2024), 63-71.
Mona Magzoub, Tarig M. Elzaki and Mourad Chamekh, An innovative method for solving linear and non linear fractional telegraph equations, Advances in Differential Equations and Control Processes 31(4) (2024), 651-671.
Vineet K. Srivastava, Mukesh K. Awasthi, R. K. Chaurasia and M. Tamsir, The telegraph equation and its solution by reduced differential transform method, Modelling and Simulation in Engineering 2013, 746351 6 pp.
http://dx.doi.org/10.1155/2013/746351.
R. K. Chaurasia, Ranjan Mishra, Raj Gaurav Mishra, Deepak Kumar and Amit Kumar Shrivastava, Numerical modelling and solution of microstrip antenna by using Caupto time fraction RDT method, International Journal of Scientific & Technology Research 8(08) (2019), 135-138.
Abdon ATANGANA, On the new fractional derivative and application to nonlinear Fisher’s reaction-diffusion equation, Applied Mathematics and Computation 273 (2016), 948-956.
Youssouf Paré, Minoungou Youssouf and Abdoul Wassiha Nébié, Resolution of nonlinear convection - diffusion - reaction equations of Cauchy’s kind by the Laplace SBA method, European Journal of Pure and Applied Mathematics 12(3) (2019), 742-760.
Y. Pare, B. Saley, B. Some, So Ousseini and Abbo Bakari, A numerical method for solving Cauchy evolution problem of partial differential equations (PDEs) for several variables, Int. J. Numer. Methods Appl. 1(1) (2009), 87-100.
A. M. Wazwaz, Partial Differential Equations and Applications, Balkema Publisher, Netherlands, 2002.
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