CAPUTO LINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

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.