Boundedness and Lagrange stability of fractional order perturbed system related to unperturbed systems with initial time difference in Caputo's sense

DOI10.1186/1687-1847-2011-54zbMath1273.34016OpenAlexW2153006461WikidataQ59267843 ScholiaQ59267843MaRDI QIDQ372431

Coşkun Yakar, Muhammed Çiçek, Mustafa Bayram Gücen

Publication date: 7 October 2013

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2011-54

zbMATH Keywords

boundednessLagrange stabilitycomparison resultsfractional-order differential equationinitial time difference (ITD)perturbed fractional-order differential systems

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Growth and boundedness of solutions to ordinary differential equations (34C11) Fractional ordinary differential equations (34A08)

Related Items (5)

Practical stability, boundedness criteria and Lagrange stability of fuzzy differential systems ⋮ Practical stability analysis of perturbed fuzzy control system related to unperturbed fuzzy control system ⋮ Practical stability in terms of two measures for fractional order dynamic systems in Caputo's sense with initial time difference ⋮ Stability of perturbed set differential equations involving causal operators in regard to their unperturbed ones considering difference in initial conditions ⋮ Practical stability with respect to initial time difference for Caputo fractional differential equations

Cites Work

• Practical stability in terms of two measures with initial time difference
• Basic theory of fractional differential equations
• Fractional differential equations in terms of comparison results and Lyapunov stability with initial time difference
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• Razumikhin stability theorem for fractional systems with delay
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Differential inequalities with initial time difference and applications
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