The monotonic property and stability of solutions of fractional differential equations

DOI10.1016/j.na.2011.06.037zbMath1232.34011OpenAlexW2003547403MaRDI QIDQ640185

Sung Kyu Choi, Nam Jip Koo

Publication date: 17 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.06.037

zbMATH Keywords

Mittag-Leffler functionfractional derivativesfractional differential equationsfractional comparison principleMittag-Leffler system

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05) Monotone systems involving ordinary differential equations (34C12) Fractional ordinary differential equations (34A08)

Related Items (12)

Non-existence of finite-time stable equilibria in fractional-order nonlinear systems ⋮ Comments on ``Mittag-Leffler stability of fractional order nonlinear dynamic systems [automatica 45(8) (2009) 1965-1969.] ⋮ Razumikhin-type stability theorems for functional fractional-order differential systems and applications ⋮ Stability analysis of conformable fractional-order nonlinear systems ⋮ \( \alpha \)-fractionally convex functions ⋮ Stability for Caputo fractional differential systems ⋮ Stability analysis of nonlinear fractional differential order systems with Caputo and Riemann--Liouville derivatives ⋮ Analytic study on a state observer synchronizing a class of linear fractional differential systems ⋮ Separation and stability of solutions to nonlinear systems involving Caputo-Fabrizio derivatives ⋮ Unnamed Item ⋮ Stability criterion for a class of nonlinear fractional differential systems ⋮ ON STABILITY CRITERIA OF FRACTAL DIFFERENTIAL SYSTEMS OF CONFORMABLE TYPE

Cites Work

• Basic theory of fractional differential equations
• General uniqueness and monotone iterative technique for fractional differential equations
• Theory of fractional functional differential equations
• Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• Fractional integral inequalities and applications
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