Stability analysis of Hilfer fractional-order differential equations
School of Mathematics and Statistics, University of Hyderabad, 500046, Hyderabad, Telangana, India
Accepted: 9 August 2023
Published online: 22 August 2023
This article considers the linear autonomous systems involving Hilfer fractional derivative. Starting from the generalized version of the well-known Matignon’s stability result for Caputo systems, we present a detailed portrayal of the stability of linear fractional-order systems with the Hilfer derivative. We sketch the phase portraits of such systems in the two-dimensional case. The relation between the singular points and the zeros of Mittag–Leffler functions is also presented.
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