# On the solution of Wave-Schrodinger equation

Volume 13, Issue 4, pp 176--179
Publication Date: January 07, 2020 Submission Date: July 09, 2019 Revision Date: October 31, 2019 Accteptance Date: November 13, 2019
• 428 Views

### Authors

Wanchak Satsanit - Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai, 50290, Thailand.

### Abstract

In this paper, we are finding a solution of the fractional Wave-Schrodinger equation by Laplace transform in the sense of Caputo fractional derivative. It was found that the fundamental solution of the equation is related to Wright function.

### Share and Cite

##### ISRP Style

Wanchak Satsanit, On the solution of Wave-Schrodinger equation, Journal of Nonlinear Sciences and Applications, 13 (2020), no. 4, 176--179

##### AMA Style

Satsanit Wanchak, On the solution of Wave-Schrodinger equation. J. Nonlinear Sci. Appl. (2020); 13(4):176--179

##### Chicago/Turabian Style

Satsanit, Wanchak. "On the solution of Wave-Schrodinger equation." Journal of Nonlinear Sciences and Applications, 13, no. 4 (2020): 176--179

### Keywords

• Dirac delta distribution
• Laplacian operator
• Wright function

•  46F10
•  46F12

### References

• [1] A. Kananthai, On the Solution of the n-Dimensional Diamond Operator, Appl. Math. Comput., 88 (1997), 27--37

• [2] A. Kananthai, S. Suantai, V, Longani, On the operator $\oplus^{k}$ related to the wave equation and Laplacian, Appl. Math. Comput., 132 (2002), 219--229

• [3] I. Podlubny, Fractional Differential Equations, Acedemic Press, San Diego (1999)

• [4] L. G. Romero, A generalization of the Laplacian operator, Palest. J. Math., 5 (2016), 204--207