| Popis: |
In this study, the linear Caputo fractional differential equation of order ?? ? 1 < ???? < ?? isinvestigated. First, the solution of the equation of order 0 < ?? < 1, with variable coefficients, isobtained by using the solution of differential equation of integer order which is the least integergreater than fractional order. Moreover, the solution of linear fractional differential equations of order?? ? 1 < ???? < ?? is considered. The solutions of the equation are presented in terms of Mittag-Lefflerfunction with three parameters. The main goal of this study is to present a closed-series form of thesolutions. To demonstrate the accuracy and the effectiveness of the proposed approach, somenumerical solutions are given. |
