Existence and finite-time stability of solutions for a class of nonlinear fractional differential equations with time-varying delays and non-instantaneous impulses

DOI10.1186/s13662-019-2101-9zbMath1459.34032OpenAlexW2946998044WikidataQ127987661 ScholiaQ127987661MaRDI QIDQ2632913

Danfeng Luo, Zhi-guo Luo

Publication date: 15 May 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-019-2101-9

zbMATH Keywords

existencenon-instantaneous impulsestime-varying delaysfinite-time stability\(\psi\)-Hilfer fractional differential equation

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Functional-differential equations with impulses (34K45) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items (7)

Existence of positive solution to the boundary value problems for coupled system of nonlinear fractional differential equations ⋮ Existence, continuous dependence and finite time stability for Riemann-Liouville fractional differential equations with a constant delay ⋮ Existence and finite-time stability results for impulsive Caputo-type fractional stochastic differential equations with time delays ⋮ Existence and Hyers-Ulam stability of solutions for a mixed fractional-order nonlinear delay difference equation with parameters ⋮ On the novel finite-time stability results for uncertain fractional delay differential equations involving noninstantaneous impulses ⋮ Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses ⋮ Some results on finite-time stability of stochastic fractional-order delay differential equations

Cites Work

• Unnamed Item
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• Existence and uniqueness of solutions for impulsive fractional differential equations
• Existence and finite-time stability results for impulsive fractional differential equations with maxima
• Finite time stability of fractional delay differential equations
• On the concept and existence of solution for impulsive fractional differential equations
• Topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions
• Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential
• Existence and \(\beta\)-Ulam-Hyers stability for a class of fractional differential equations with non-instantaneous impulses
• On some new integral inequalities of Gronwall-Bellman-Bihari type with delay for discontinuous functions and their applications
• On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
• Advances in mathematical inequalities and applications
• On variational methods to non-instantaneous impulsive fractional differential equation
• Integral boundary value problems for nonlinear non-instantaneous impulsive differential equations
• Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives
• Existence results in Banach space for a nonlinear impulsive system
• Uniqueness and novel finite-time stability of solutions for a class of nonlinear fractional delay difference systems
• Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
• On fractional neutral integro-differential systems with state-dependent delay and non-instantaneous impulses
• Periodic boundary value problems for fractional semilinear integro-differential equations with non-instantaneous impulses
• On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
• Finite-time stability of discrete fractional delay systems: Gronwall inequality and stability criterion
• On the \(\psi\)-Hilfer fractional derivative
• Fractional logistic models in the frame of fractional operators generated by conformable derivatives
• Variational approach to differential equations with not instantaneous impulses
• Solvability of a non-local problem with integral transmitting condition for mixed type equation with Caputo fractional derivative
• Asymptotic properties of the solutions of nonlinear non-instantaneous impulsive differential equations
• Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations
• On existence of a globally attractive periodic solution of impulsive delay logarithmic population model
• On a new class of abstract impulsive differential equations
• Caputo fractional differential equations with non-instantaneous impulses and strict stability by Lyapunov functions
• Ulam stability for delay fractional differential equations with a generalized Caputo derivative
• Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative
• Stability analysis of fractional differential equations with unknown parameters
• Non-Instantaneous Impulses in Differential Equations
• Non-instantaneous impulsive fractional-order implicit differential equations with random effects
• Basic Theory of Fractional Differential Equations
• Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives

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