In this paper we have obtained solutions of Riemann - Liouville fractional matrix dierential equation ( RLFMDE ) of the form DqX = AX and DqX = AX + XB: We have extended these results to 2nd order and 3rd order RLFMDE and then generalized them to nth order RLFMDE.
Keywords and Phrases
Riemann - Liouville Fractional Matrix Differential Equation, Matrix q - exponential function, fractional cosine matrix function, fractional sine matrix function.
A.M.S. subject classiﬁcation