In this paper, we have solved some time fractional Schrödinger equations of order α with  in dimension d = 1, 2 or 3 in the sense of Caputo by the SBA plus method. This method is based on two principles (successive approximations, and Picard) and the Adomian method. Secondly, it uses a process of rapid convergence in the functional space of the problem posed towards the exact solution, if it exists.

Some Blaise Abbo (SBA) plus method, fractional Schrödinger equations, Caputo derivation

Received: April 3, 2024; Accepted: June 6, 2024; Published: June 25, 2024

How to cite this article: Oumar MADAI, Germain KABORE, Bakari Abbo, Ousséni SO and Blaise SOME, The Some Blaise Abbo (SBA) plus method applied to fractional nonlinear time Schrödinger equations in d dimension (d = 1, 2 or 3) in the sense of Caputo, Advances in Differential Equations and Control Processes 31(3) (2024), 357-377. https://doi.org/10.17654/0974324324020

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