Operational calculus for the solution of fractional differential equations with noncommensurate orders

Gabriel Bengochea, Manuel Ortigueira, Luis Verde-Star

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We present an operational method suitable for solving fractional differential equations with two or more noncommensurate orders. The method can be applied in a recursive way in the sense that one can add or remove pseudo-poles or pseudo-zeros and recompute the output from pre-existing solutions. In order to illustrate how the method is applied and its efficiency and simplicity, we present several examples.

Original languageEnglish
JournalMathematical Methods in the Applied Sciences
DOIs
Publication statusAccepted/In press - Jul 2019

Keywords

  • fractional calculus
  • noncommensurate orders
  • operational calculus

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