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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


An Approximate Solution for the Non-Linear Fractional Schr"{o}dinger Equation with Harmonic Oscillator

Discontinuity, Nonlinearity, and Complexity 11(4) (2022) 767--780 | DOI:10.5890/DNC.2022.12.014

Abdulrahman N. Akour, Emad K. Jaradat, Ala'a M. Al-Faqih

Department of Basic Scientific Sciences, Al-Huson College, Al-Balqa Applied University, Jordan

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In this work, we propose an approximate solution for the nonlinear Schr\"{o}dinger with harmonic oscillator by fractional calculus with Caputo definition. It is observed that the nonlinear Schr\"{o}dinger equation in one and two dimensions effect on the behavior of the wave function, the result shows the technique is highly encouraging and efficient.


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