Ulam-Hyers-Mittag-Leffler stability of fractional difference equations with delay

DOI10.1216/RMJ.2021.51.891zbMath1480.39012OpenAlexW3191926198MaRDI QIDQ1983217

Publication date: 10 September 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj.2021.51.891

zbMATH Keywords

fractional calculus Mittag-Leffler stability

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13) Stability theory for difference equations (39A30)

Cites Work

Unnamed Item
A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation
On the stability of some discrete fractional nonautonomous systems
Hyers-Ulam stability of fractional nabla difference equations
On Riemann and Caputo fractional differences
Stability analysis of linear fractional differential system with multiple time delays
Novel Mittag-Leffler stability of linear fractional delay difference equations with impulse
Existence and Hyers-Ulam stability for three-point boundary value problems with Riemann-Liouville fractional derivatives and integrals
Ulam-Hyers stability analysis to a class of nonlinear implicit impulsive fractional differential equations with three point boundary conditions
Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations
Stability analysis of impulsive fractional difference equations
Blind in a commutative world: simple illustrations with functions and chaotic attractors
Stability analysis of Caputo-like discrete fractional systems
Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
Finite-time stability of discrete fractional delay systems: Gronwall inequality and stability criterion
Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel
On delta and nabla Caputo fractional differences and dual identities
On explicit stability conditions for a linear fractional difference system
Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
Discrete Fractional Calculus
On Ulam's type stability for a class of impulsive fractional differential equations with nonlinear integral boundary conditions
Ulam stability for delay fractional differential equations with a generalized Caputo derivative
Ulam–Hyers–Mittag-Leffler stability of fractional-order delay differential equations
On the Stability of the Linear Functional Equation

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