1208.1909 (Myongha Kim)

On explicit representations of Green's function for linear fractional
differential operator with variable coefficients    [PDF]

Myongha Kim

This paper presents explicit representations of Green's functions for general linear fractional differential operators with variable coefficients in the Riemann-Liouvilles sense. We assume that all their coefficients are continuous in [0,\infty). Using the explicit representations for Green's function, we obtain explicit representations for solution of non-homogeneous fractional differential equation with variable coefficients of general type. Therefore the method of Green's function, was developed in previous research for solution of fractional differential equation with constant coefficients, is extended to the case of fractional differential equations with variable coefficients.

View original: http://arxiv.org/abs/1208.1909