Author(s)

Mohamed Elbadri^1,2

¹Department of Mathematics, Faculty of Sciences and Arts, Jouf University, Tubarjal, Saudi Arabia.
²Department of Mathematics, University of Gezira, Wad Madani, Sudan.

In this paper, a coupling of the natural transform method and the Admoian decomposition method called the natural transform decomposition method (NTDM), is utilized to solve the linear and nonlinear time-fractional Klein-Gordan equation. The (NTDM), is introduced to derive the approximate solutions in series form for this equation. Solutions have been drawn for several values of the time power. To identify the strength of the method, three examples are presented.

Natural Transform, Adomian Decomposition Method, Fractional Klein-Gordon Equation

Elbadri, M. (2023) The Natural Transform Decomposition Method for Solving Fractional Klein-Gordon Equation. Applied Mathematics, 14, 230-243. doi: 10.4236/am.2023.143014.