Fractional averaging theory for discrete fractional-order system with impulses

Functional-differential equations with impulses (34K45) Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13) Functional-differential equations with fractional derivatives (34K37) Averaging for functional-differential equations (34K33)

Cites Work

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On Riemann and Caputo fractional differences
Fundamental theorems of averaging for functional differential equations
The averaging principle for stochastic differential equations with Caputo fractional derivative
The solution of a new Caputo-like fractional \(h\)-difference equation
Stability analysis of Caputo-like discrete fractional systems
Averaging theory for fractional differential equations
Averaging principle for fractional stochastic differential equations with \(L^p\) convergence
Asymptotic stability of fractional difference equations with bounded time delays
On the averaging for differential equations with retarded argument
The \(q\)-fractional analogue for Gronwall-type inequality
Averaging methods for differential equations with retarded arguments and a small parameter
Discrete Fractional Calculus
Averaging analysis for discrete time and sampled data adaptive systems
Averaging Theory for Delay Difference Equations with Time-Varying Delays
The influence of delays when averaging slow and fast oscillating systems: overview
Existence and rapid convergence results for nonlinear Caputo nabla fractional difference equations
Overview of Fractional h-difference Operators
Monotonicity results for nabla fractional h‐difference operators
ASYMPTOTIC BEHAVIOR OF NABLA HALF ORDER H-DIFFERENCE EQUATIONS
Gronwall's inequality for a nabla fractional difference system with a retarded argument and an application
Averaging methods in nonlinear dynamical systems
On the averaging principle for stochastic differential equations involving Caputo fractional derivative

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