Shah, RasoolKumam, PoomBaleanu, DumitruArif, MuhammadKhan, Hassan02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2020-01-032025-09-182020-01-032025-09-182019Khan, Hassan...et al. (2019). "An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations", Mathematics, Vol. 7, No. 5.2227-7390https://doi.org/10.3390/math7050426https://hdl.handle.net/123456789/12175Khan, Hassan/0000-0001-6417-1181; Kumam, Poom/0000-0002-5463-4581; Arif, Muhammad/0000-0003-1484-7643In the present article, fractional-order telegraph equations are solved by using the Laplace-Adomian decomposition method. The Caputo operator is used to define the fractional derivative. Series form solutions are obtained for fractional-order telegraph equations by using the proposed method. Some numerical examples are presented to understand the procedure of the Laplace-Adomian decomposition method. As the Laplace-Adomian decomposition procedure has shown the least volume of calculations and high rate of convergence compared to other analytical techniques, the Laplace-Adomian decomposition method is considered to be one of the best analytical techniques for solving fractional-order, non-linear partial differential equationsparticularly the fractional-order telegraph equation.eninfo:eu-repo/semantics/openAccessLaplace-Adomian Decomposition MethodFractional-Order Of Telegraph EquationsCaputo OperatorArticle10.3390/math70504262-s2.0-85073357462