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

Subject Areas : Difference and functional equations

M. Alimohammady ¹ , F. Fattahi ²

1 - Department of Mathematics, University of Mazandaran, Babolsar, Iran
2 - Department of Mathematics, University of Mazandaran, Babolsar, Iran

Received: 2014-06-21 Accepted : 2015-09-24 Published : 2014-10-01

Keywords: Colombeau algebra, Marchaud fractional differentiation, Schrodinger equation,

Abstract :

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

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