Hilfer-type fractional differential equations with variable coefficients

Joel E. Restrepo, Durvudkhan Suragan

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


In this paper, we give a representation of the solution of Hilfer-type fractional differential equations with continuous variable coefficients. The solution is represented by convergent infinite series involving composition of Riemann–Liouville fractional integral operators. The obtained representation of the solution can be used effectively for computational and analytic purposes. For the case of constant coefficients, the solution is given by the Riemann-Liouville fractional integral of the multivariate Mittag-Leffler function.

Original languageEnglish
Article number111146
JournalChaos, Solitons and Fractals
Publication statusPublished - Sept 2021


  • Hilfer fractional derivative
  • Linear fractional differential equation
  • Mittag-Leffler function
  • Variable coefficient

ASJC Scopus subject areas

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


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