On the Solution of the Variable Order Time Fractional Schrödinger Equation
DOI:
https://doi.org/10.48048/tis.2022.6183Keywords:
Fractional partial differential equation, Variable order fractional Schrödinger equations, Adomian decomposition, Adomian polynomials, Caputo fractional derivativeAbstract
In the present paper, we used the Adomian decomposition method to obtain solutions of linear and nonlinear variable order fractional Schrödinger equations. Twelve illustrative applications have been presented. When the fractional order is unity, the results are the same as those obtained by the standard integer order derivative. Some of the obtained results are discussed graphically. Some of the obtained results 1st appear in the literature. This technique can be applied to other linear or nonlinear fractional differential models.
HIGHLIGHTS
- We study a class of time variable-order fractional nonlinear Schrödinger equations (tVOFNLSEs)
- We introduce a new procedure for solving the tVOFNLSE and tVOFSE
- We used the Adomian decomposition method to obtain solutions of linear and nonlinear variable order fractional equations
- The calculations are performed in the frame of Caputo sense
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