New class of conformable derivatives and applications to differential impulsive systems
From MaRDI portal
Publication:725390
DOI10.1007/s40324-017-0135-zzbMath1400.26012OpenAlexW2762527498MaRDI QIDQ725390
Yousef Gholami, Kazem Ghanbari
Publication date: 1 August 2018
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-017-0135-z
qualitative behaviorimpulsive effectsLyapunov inequalitiesconformable fractional derivatives and integralsfractional linear system
Fractional derivatives and integrals (26A33) Linear ordinary differential equations and systems (34A30) Fractional ordinary differential equations (34A08)
Related Items (4)
Lyapunov inequalities for two-parametric quantum Hamiltonian systems and their applications ⋮ Asymptotic behaviour of solution and non-existence of global solution to a class of conformable time-fractional stochastic equation ⋮ Existence of solution to a nonlocal conformable fractional thermistor problem ⋮ On an impulsive hybrid system of conformable fractional differential equations with boundary conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lyapunov-type inequality for a class of even-order linear differential equations
- On conformable fractional calculus
- A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel
- Almost periodic solutions of impulsive differential equations.
- Liapunov-type inequalities for third-order half-linear equations and applications to boundary value problems
- No violation of the Leibniz rule. No fractional derivative
- Stability under persistent disturbances of impulsive differential- difference equations of neutral type
- Lyapunov-type inequality for higher order difference equations
- On the multivariate Lyapunov inequalities
- Lyapunov inequalities for discrete linear Hamiltonian systems
- On a Lyapunov-type inequality for certain higher-order differential equations
- On Lyapunov-type inequalities for certain higher order differential equations
- On a Lyapunov-type inequality and the zeros of a certain Mittag-Leffler function
- On chain rule for fractional derivatives
- A new definition of fractional derivative
- On the Lyapunov-type inequalities of a three-point boundary value problem for third order linear differential equations
- A Lyapunov-type inequality for a fractional boundary value problem
- Lyapunov-type inequalities for a class of higher-order linear differential equations
- Stability criteria for linear periodic impulsive Hamiltonian systems
- Lyapunov-type inequalities for a fractional differential equation with mixed boundary conditions
- Stability criterion for second order linear impulsive differential equations with periodic coefficients
- Fractional Lyapunov inequalities on spherical shells
- Fractional-order boundary value problem with Sturm-Liouville boundary conditions
- A New Approach to Generalized Fractional Derivatives
- Properties of the Katugampola fractional derivative with potential application in quantum mechanics
This page was built for publication: New class of conformable derivatives and applications to differential impulsive systems
