On the solution of Wave-Schrodinger equation
Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 4, p. 176-179.

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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.
DOI : 10.22436/jnsa.013.04.01
Classification : 46F10, 46F12
Keywords: Dirac delta distribution, Laplacian operator, Wright function

Satsanit, Wanchak 1

1 Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai, 50290, Thailand
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Satsanit, Wanchak. On the solution of Wave-Schrodinger equation. Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 4, p. 176-179. doi : 10.22436/jnsa.013.04.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.013.04.01/

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

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

[3] Podlubny, I. Fractional Differential Equations, Acedemic Press, San Diego, 1999 | Zbl

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

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