Title of article :
Existence and uniqueness of solution of Schrodinger equation in extended Colombeau algebra
Author/Authors :
Alimohammady, M. Department of Mathematics - University of Mazandaran, Babolsar, Iran , Fattahi, F. Department of Mathematics - University of Mazandaran, Babolsar, Iran
Abstract :
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.
Keywords :
Colombeau algebra , Marchaud fractional , Marchaud fractional differentiation , Schrodinger equation
Journal title :
Astroparticle Physics