Impulsive Fractional-Like Differential Equations: Practical Stability and Boundedness with Respect to h-Manifolds
Abstract
:1. Introduction
2. Preliminaries
- V is defined on G, V has nonnegative values and for ;
- V is continuous in G, —differentiable in t and locally Lipschitz continuous with respect to its second argument on each of the sets ;
- For each and , there exist the finite limits
3. Main Results
3.1. Practical Stability Criteria
3.2. Boundedness Results
4. Applications
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Stamov, G.; Martynyuk, A.; Stamova, I. Impulsive Fractional-Like Differential Equations: Practical Stability and Boundedness with Respect to h-Manifolds. Fractal Fract. 2019, 3, 50. https://doi.org/10.3390/fractalfract3040050
Stamov G, Martynyuk A, Stamova I. Impulsive Fractional-Like Differential Equations: Practical Stability and Boundedness with Respect to h-Manifolds. Fractal and Fractional. 2019; 3(4):50. https://doi.org/10.3390/fractalfract3040050
Chicago/Turabian StyleStamov, Gani, Anatoliy Martynyuk, and Ivanka Stamova. 2019. "Impulsive Fractional-Like Differential Equations: Practical Stability and Boundedness with Respect to h-Manifolds" Fractal and Fractional 3, no. 4: 50. https://doi.org/10.3390/fractalfract3040050