×

Use of fractional calculus to solve certain linear differential equations. (English) Zbl 0668.34012

Fractional calculus is used to obtain particular solutions of certain non-homogeneous linear differential equations of second order. We consider differential equations of the hypergeometric-type and Laguerre- type. Corresponding homogeneous cases are also considered. Further, we show that the method Nishimoto uses for obtaining the particular solution of linear non-homogeneous ordinary differential equations can be extended to obtain the corresponding general solution.

MSC:

34A30 Linear ordinary differential equations and systems
PDFBibTeX XMLCite