Studia Universitatis Babes-Bolyai Matematica · 2020 · 16 citations · 2 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsContinuous Dynamical SystemsControl TheoryNonlinear DynamicsNumerical StabilityStability TheorySystems Of Differential EquationsFractional Differential EquationsLyapunov FunctionsLyapunov StabilityNonlinear Stability
In this note we obtain sufficient conditions under which we can guarantee the stability of solutions of a fractional differential equations of non conformable type and we obtain some fractional analogous theorems of the direct Lyapunov method for a given class of equations of motion.
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A new definition of fractional derivative
Roshdi Khalil, Mohammed Al Horani, A. Yousef et al. · Journal of Computational and Applied Mathematics · 2014 · 3.4K citations