SOLUTIONS OF RIEMANN-LIOUVILLE FRACTIONAL MATRIX DIFFERENTIAL EQUATIONS

Print ISSN: 2319-1023 | Online ISSN: | Total Downloads : 88

Volume : 5 , Issue : 1
DOI:
Author :
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.)

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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