On a fractional matrix exponential and an explicit method for its calculation

Dr. Marianito Rodrigo (School of Mathematics and Applied Statistics University of Wollongong)
Title: On a fractional matrix exponential and an explicit method for its calculation
Abstract: The matrix exponential arises in many applications, particularly in the solution of linear systems of ordinary differential equations. The nth derivative of the matrix exponential is equal to the nth power of the matrix multiplied by the matrix exponential. What is the analogue of this when the ordinary derivative is replaced by a fractional derivative? In this talk I will define a fractional matrix exponential and then give an explicit method for calculating the fractional matrixexponential. An overview of the fractional calculus will be given.

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