ON THE STABILITY OF DIFFERENTIAL SYSTEMS INVOLVING ψ-HILFER FRACTIONAL DERIVATIVE

Authors

  • Norravich Limpanukorn Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi
  • Parinya Sa Ngiamsunthorn Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi
  • Danuruj Songsanga Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi
  • Apassara Suechoei Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi

Abstract

This paper deals with the stability of solutions to ψ-Hilfer fractional differential systems. We derive the fundamental solution for the system by using the generalized Laplacetransform and the Mittag-Leffler function with two parameters. In addition, we obtained some necessary conditions on the stability of the solutions to linear fractional differential systems for homogeneous, non-homogeneous and non-autonomous cases. Numerical examplesare also given to illustrate the behavior of solutions.

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Published

2022-08-26

Issue

Volume 27, Number 3, September 2022

Section

Articles