Article ID Journal Published Year Pages File Type
722549 IFAC Proceedings Volumes 2006 6 Pages PDF
Abstract

This paper is devoted to the study of nonsequential linear fractional differential equations with constant coefficients involving the Caputo fractional derivatives. The Laplace transform is applied to obtain the general explicit solutions for the equations being studied in terms of Mittag-Leffler functions and generalized Wright functions. Conditions are given for obtaining linearly independent solutions which form a fundamental system of solutions. Some examples are presented.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics