On the Lyapunov theory for functional differential equations of fractional order
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Publication:2790266
DOI10.1090/proc/12822zbMath1373.34118OpenAlexW1763455823MaRDI QIDQ2790266
Publication date: 3 March 2016
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/proc/12822
Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Mittag-Leffler functions and generalizations (33E12) Functional-differential equations with fractional derivatives (34K37)
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Cites Work
- Unnamed Item
- Unnamed Item
- Almost periodic solutions of impulsive differential equations.
- Theory of fractional functional differential equations
- Mittag-Leffler stability of fractional order nonlinear dynamic systems
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Fractional functional differential inclusions with finite delay
- Stability analysis of impulsive functional differential equations
- Theory of functional differential equations. 2nd ed
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Existence results for fractional order functional differential equations with infinite delay
- Novel criteria for exponential stability of functional differential equations
- Uniform Asymptotic Stability Via Liapunov-Razumikhin Technique
- Lipschitz stability criteria for functional differential systems of fractional order
- Almost periodic solutions for impulsive fractional differential equations
- Computation of the generalized Mittag-Leffler function and its inverse in the complex plane
- Towards the fractional quantum Hall effect: a noncommutative geometry perspective
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