ON STABILITY CRITERIA OF FRACTAL DIFFERENTIAL SYSTEMS OF CONFORMABLE TYPE

DOI10.1142/S0218348X20400095zbMath1482.93503OpenAlexW3021353253MaRDI QIDQ5025575

Awais Younus, Thabet Abdeljawad, Tazeen Gul

Publication date: 2 February 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x20400095

zbMATH Keywords

stabilityconformable derivativefractal derivativenon-linear differential equationsaysmptotic stability

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Asymptotic stability in control theory (93D20) Fractals (28A80) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• The convergence relation between ordinary and delay-integro-differential equations
• On conformable fractional calculus
• The monotonic property and stability of solutions of fractional differential equations
• Lipschitz stability of nonlinear systems of differential equations. II: Lyapunov functions
• A new Lyapunov function for stability of time-varying nonlinear perturbed systems
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system
• Stability analysis of conformable fractional-order nonlinear systems
• Stability of \(q\)-fractional non-autonomous systems
• Mittag-Leffler stability theorem for fractional nonlinear systems with delay
• Comments on ``Lyapunov stability theorem about fractional system without and with delay
• A new definition of fractional derivative

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