SOLUTIONS OF RIEMANN-LIOUVILLE FRACTIONAL MATRIX DIFFERENTIAL EQUATIONS

Print ISSN: 2319-1023

Abstract

In this paper we have obtained solutions of Riemann - Liouville fractional matrix di erential 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 Diff erential Equation, Matrix q - exponential function, fractional cosine matrix function, fractional sine matrix function.

A.M.S. subject classification

47G20.

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