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Solution for time-fractional coupled Klein-Gordon Schrödinger equation using decomposition method. (English) Zbl 1250.65125
Summary: The time-fractional coupled Klein-Gordon Schrödinger equation is obtained from the coupled Klein-Gordon Schrödinger equation by replacing the order time derivative with a fractional derivative of order $\alpha \in $(1,2], $\beta \in $(0,1]. The fractional derivative is described in the Caputo sense. In this study, a system of time-fractional coupled Klein-Gordon Schrödinger equations is considered with initial values and the solutions are presented using the Adomian decomposition method. The solutions of the equation are presented and the figures show the effectiveness and good accuracy of the proposed method.

MSC:
65M99Numerical methods for IVP of PDE
35Q40PDEs in connection with quantum mechanics
35Q55NLS-like (nonlinear Schrödinger) equations
35R11Fractional partial differential equations
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