On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method

A. Abilassan, J. E. Restrepo, D. Suragan

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

By using the Laplace transform method, we revisit the multivariate Mittag-Leffler function as an effective tool to construct a solution for some classes of fractional differential equations with constant coefficients. To support our results, we discuss several particular cases related to classical fractional differential operators. The techniques are not only restricted to fractional derivative operators but also can be applied to general constant coefficient differential equations, including high-order ordinary differential equations.

Original languageEnglish
JournalIntegral Transforms and Special Functions
DOIs
Publication statusAccepted/In press - 2022

Keywords

  • constant coefficients
  • fractional differential equation
  • Laplace transform method
  • Multivariate Mittag-Leffler function
  • ordinary differential equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method'. Together they form a unique fingerprint.

Cite this