On the solution of the fractional nonlinear Schrödinger equation

By S. Z. Rida, H. M. El-Sherbiny, A. Arafa. 2008

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An Algorithm for Solving the Fractional Nonlinear Schrödinger Equation by Means of the Homotopy Perturbation Method (2009, methodology): “Several mathematical methods including Adomian decomposition method [2], variational iteration method [3], differential transform method [4] and homotopy perturbation method [5] have been developed to obtain exact and approximate analytic solutions to differential equations of fractional order. The ”
Existence of Solutions for Impulsive Anti-periodic Boundary Value Problems of Fractional Order (2011, unknown): “For examples and details, see [1-3, 5, 7, 10, 15-16, 18-19, 23-24, 26] and the references therein.”
Existence of solutions for fractional differential equations of order q∈(2,3] with anti-periodic boundary conditions (2010, background): “For more details and examples, see [1, 6, 8, 9, 12–20, 22] and the references therein.”
Method of upper and lower solutions for fractional differential equations (2012, background): “Hence, some meaningful results on this kind of problems have been obtained, (see [5, 6, 7, 8, 9, 10, 11, 12, 13]).”