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On fractional matrix exponentials and their explicit calculation

Journal Article


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 Date


  • 2016

Citation


  • Rodrigo, M. R. (2016). On fractional matrix exponentials and their explicit calculation. Journal of Differential Equations, 261 (7), 4223-4243.

Scopus Eid


  • 2-s2.0-84977100501

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5946

Number Of Pages


  • 20

Start Page


  • 4223

End Page


  • 4243

Volume


  • 261

Issue


  • 7

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 Date


  • 2016

Citation


  • Rodrigo, M. R. (2016). On fractional matrix exponentials and their explicit calculation. Journal of Differential Equations, 261 (7), 4223-4243.

Scopus Eid


  • 2-s2.0-84977100501

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5946

Number Of Pages


  • 20

Start Page


  • 4223

End Page


  • 4243

Volume


  • 261

Issue


  • 7