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http://dx.doi.org/10.22771/nfaa.2022.27.03.04

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

Limpanukorn, Norravich (Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi)
Ngiamsunthorn, Parinya Sa (Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi)
Songsanga, Danuruj (Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi)
Suechoei, Apassara (Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi)
Publication Information
Nonlinear Functional Analysis and Applications / v.27, no.3, 2022 , pp. 513-532 More about this Journal
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.
Keywords
${\psi}$-Hilfer fractional derivative; fractional differential system; Mittag-Leffler function; stability analysis;
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