Existence and uniqueness of solution of Schrodinger equation in extended Colombeau algebra

Journal of Linear and Topological Algebra

مقاله 2، دوره 03، شماره 02، شهریور 2014، صفحه 67-78   

نویسندگان

M. Alimohammady^* ؛ F. Fattahi

Department of Mathematics, University of Mazandaran, Babolsar, Iran

چکیده

In this paper, we establish the existence and uniqueness result of the linear Schrodinger equation with Marchaud fractional derivative in Colombeau generalized algebra. The purpose of introducing Marchaud fractional derivative is regularizing it in Colombeau sense.

کلیدواژه‌ها

Colombeau algebra؛ Marchaud fractional differentiation؛ Schrodinger equation

مراجع

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[6] M. Stojanovic , Extension of Colombeau algebra to derivatives of arbitrary order $D^{\alpha}$, Application to ODEs and PDEs with entire and fractional derivatives, Nonlinear Analysis 5 (2009), 5458-5475.