On fractional matrix exponentials and their explicit calculation
RIS ID
108550
Abstract
Fractional matrix exponentials are introduced, which extend the usual matrix exponential involving ordinary derivatives to the case of fractional derivative operators. Two fractional analogues are defined, corresponding to the Caputo and Riemann-Liouville fractional derivatives. Moreover, explicit methods similar to Putzer's method for calculating the usual matrix exponential are developed for these fractional matrix exponentials
Publication Details
Rodrigo, M. R. (2016). On fractional matrix exponentials and their explicit calculation. Journal of Differential Equations, 261 (7), 4223-4243.