A class of time-fractional Dirac type operators

Dumitru Baleanu, Joel E. Restrepo, Durvudkhan Suragan

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


By using a Witt basis, a new class of time-fractional Dirac type operators with time-variable coefficients is introduced. These operators lead to considering a wide range of fractional Cauchy problems. Solutions of the considered general fractional Cauchy problems are given explicitly. The representations of the solutions can be used efficiently for analytic and computational purposes. We apply the obtained representation of a solution to recover a variable coefficient solution of an inverse fractional Cauchy problem. Some concrete examples are given to show the diversity of the obtained results.

Original languageEnglish
Article number110590
JournalChaos, Solitons and Fractals
Publication statusPublished - Feb 2021


  • Cauchy problem
  • Fractional integro-differential operator
  • inverse problem
  • time-fractional Dirac operators

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • General Mathematics
  • General Physics and Astronomy
  • Applied Mathematics


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