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

Journal article

Authors/Editors

PARINYA SA-NGIAMSUNTHORN

Strategic Research Themes

Modeling Design and Optimization (Computational Science and Engineering)

Publication Details

Author list: Norravich Limpanukorn, Parinya Sa Ngiamsunthorn, Danuruj Songsanga and Apassara Suechoei

Publication year: 2022

Journal: Nonlinear Functional Analysis and Applications (1229-1595)

Volume number: 27

Issue number: 3

Start page: 513

End page: 532

Number of pages: 20

ISSN: 1229-1595

URL: http://nfaa.kyungnam.ac.kr/journal-nfaa/index.php/NFAA/article/view/1598

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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 Laplace transform 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 examples are also given to illustrate the behavior of solutions.

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