scholarly journals Closed Form Exact Solutions to the Higher Dimensional Fractional Schrodinger Equation via the Modified Simple Equation Method

2018 ◽  
Vol 06 (01) ◽  
pp. 90-102 ◽  
Author(s):  
M. Nurul Islam ◽  
M. Ali Akbar
Keyword(s):  
Schrödinger Equation ◽  
Exact Solutions ◽  
Closed Form ◽  
Schrodinger Equation ◽  
Simple Equation ◽  
Equation Method ◽  
Fractional Schrödinger Equation ◽  
Higher Dimensional ◽  
Modified Simple Equation Method ◽  
Fractional Schrodinger Equation

scholarly journals Solutions of Unified Fractional Schrödinger Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
V. B. L. Chaurasia ◽  
Devendra Kumar
Keyword(s):  
Schrödinger Equation ◽  
Closed Form ◽  
Numerical Computation ◽  
Schrodinger Equation ◽  
Fourier Transforms ◽  
Schrödinger Equations ◽  
Laplace And Fourier Transforms ◽  
Fractional Schrödinger Equation ◽  
Fractional Schrödinger Equations ◽  
Fractional Schrodinger Equation

We obtain the solution of a unified fractional Schrödinger equation. The solution is derived by the application of the Laplace and Fourier transforms in closed form in terms of the Mittag-Leffler function. The result obtained here is quite general in nature and capable of yielding a very large number of results (new and known) hitherto scattered in the literature. Most of results obtained are in a form suitable for numerical computation.

scholarly journals On solutions of local fractional Schrodinger equation

2019 ◽  
Vol 23 (Suppl. 6) ◽  
pp. 1929-1934
Author(s):  
Resat Yilmazer ◽  
Neslihan Demirel
Keyword(s):  
Fourier Transform ◽  
Schrödinger Equation ◽  
Laplace Transform ◽  
Closed Form ◽  
Schrodinger Equation ◽  
Fractional Schrödinger Equation ◽  
The Laplace Transform ◽  
Fractional Schrodinger Equation

In this study, we obtain the solution of a local fractional Schrodinger equation. The solution is obtained by the implementation of the Laplace transform and Fourier transform in closed form in terms of the Mittag-Leffler function.

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