SOLUTIONS OF RIEMANN-LIOUVILLE FRACTIONAL MATRIX DIFFERENTIAL EQUATIONS

J. Vasundhara Devi; S. Nagamani; K. Jayalakshmi

J. Vasundhara Devi GVP - Prof.V.Lakshmikantham, Institute for Advanced Studies, Department of Mathematics, GVP College of Engineering, Visakhapatnam - 530 048, AP, India

S. Nagamani Dr. V. S. Krishna Government Junior College(Boys), Visakhapatnam - 530 022, AP, India.

K. Jayalakshmi JNTU(A) College of Engineering, Ananthapuramu - 515 002, AP, India.

Volume 5, Issue 1 Pages 111-126 June 30, 2016 184 downloads

Article overview

Abstract

In this paper we have obtained solutions of Riemann - Liouville fractional matrix dierential equation ( RLFMDE ) of the form D^qX = AX and D^qX = AX + XB: We have extended these results to 2^nd order and 3^rd order RLFMDE and then generalized them to n^th order RLFMDE.

Keywords and Phrases

Riemann - Liouville Fractional Matrix Differential EquationMatrix q - exponential functionfractional cosine matrix functionfractional sine matrix function.

AMS Subject Classification

47G20.

Reference information

How to Cite

J. Vasundhara Devi, S. Nagamani, K. Jayalakshmi (2016). SOLUTIONS OF RIEMANN-LIOUVILLE FRACTIONAL MATRIX DIFFERENTIAL EQUATIONS. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 5(1), 111-126.

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