Lyapunov functions for Riemann-Liouville-like fractional difference equations

From MaRDI portal
Publication:1740096

DOI10.1016/j.amc.2017.06.019zbMath1426.39010OpenAlexW2742441742MaRDI QIDQ1740096

Guo-Cheng Wu, Dumitru Baleanu, Wei-Hua Luo

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.06.019




Related Items (76)

Investigation of linear difference equations with random effectsFinite time stability of fractional delay difference systems: a discrete delayed Mittag-Leffler matrix function approachDiscrete fractional solutions to the effective mass Schrödinger equation by mean of nabla operatorOn stability of a class of second alpha-order fractal differential equationsA discrete fractional-order Cournot duopoly gameFurther results on the asymptotic stability of Riemann-Liouville fractional neutral systems with variable delaysAsymptotical stabilization of the nonlinear upper triangular fractional-order systemsDifferent dimensional fractional-order discrete chaotic systems based on the Caputo \(h\)-difference discrete operator: dynamics, control, and synchronizationA brief note on fractal dynamics of fractional Mandelbrot setsGlobal Mittag-Leffler synchronization of discrete-time fractional-order neural networks with time delaysExistence and asymptotic behaviors of nonlinear neutral Caputo nabla fractional difference equationsChaotic vibration, bifurcation, stabilization and synchronization control for fractional discrete-time systemsBackstepping control for fractional discrete-time systemsEditorial: Overview and Some New DirectionsSUPPRESSING SPIRAL WAVE TURBULENCE IN A SIMPLE FRACTIONAL-ORDER DISCRETE NEURON MAP USING IMPULSE TRIGGERINGDYNAMICAL ANALYSIS OF A NOVEL DISCRETE FRACTIONAL SITRS MODEL FOR COVID-19ON DYNAMIC BEHAVIOR OF A DISCRETE FRACTIONAL-ORDER NONLINEAR PREY–PREDATOR MODELMULTI-AUV DYNAMIC MANEUVER DECISION-MAKING BASED ON INTUITIONISTIC FUZZY COUNTER-GAME AND FRACTIONAL-ORDER PARTICLE SWARM OPTIMIZATIONFractional chaotic maps with \(q\)-deformationDiscrete fractional Bihari inequality and uniqueness theorem of solutions of nabla fractional difference equations with non-Lipschitz nonlinearitiesNyquist-based stability analysis of non-commensurate fractional-order delay systemsOn stability and feedback control of discrete fractional order singular systems with multiple time-varying delaysLyapunov theorem for stability analysis of nonlinear nabla fractional order systemsLyapunov stability analysis for incommensurate nabla fractional order systemsSolvability and stability of nonlinear hybrid \(\Delta\)-difference equations of fractional-orderQuasi-synchronization and stabilization of discrete-time fractional-order memristive neural networks with time delaysA class of nonlinear non-instantaneous impulsive differential equations involving parameters and fractional orderQuasi-synchronization of discrete-time fractional-order quaternion-valued memristive neural networks with time delays and uncertain parametersOn discrete fractional-order Lotka-Volterra model based on the Caputo difference discrete operatorAsymptotic stability of fractional difference equations with bounded time delaysMittag-Leffler stability of nabla discrete fractional-order dynamic systemsExploring a new discrete delayed Mittag–Leffler matrix function to investigate finite‐time stability of Riemann–Liouville fractional‐order delay difference systemsA new collection of real world applications of fractional calculus in science and engineeringExistence and uniqueness of uncertain fractional backward difference equations of Riemann-Liouville typeStabilization of a class of fractional-order nonautonomous systems using quadratic Lyapunov functionsA fractional-order form of a system with stable equilibria and its synchronizationProjective synchronization of fractional-order delayed neural networks based on the comparison principleGeneralized and inverse generalized synchronization of fractional-order discrete-time chaotic systems with non-identical dimensionsInverse Mittag-Leffler stability of structural derivative nonlinear dynamical systemsAn efficient meshless method based on RBFs for the time fractional diffusion-wave equationUniqueness and novel finite-time stability of solutions for a class of nonlinear fractional delay difference systemsOn the complete synchronization of a time-fractional reaction–diffusion system with the Newton–Leipnik nonlinearityThe fractional form of a new three-dimensional generalized Hénon mapExistence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditionsComparison theorems and distributions of solutions to uncertain fractional difference equationsContainment control for multi-agent systems with fractional Brownian motionRobust stability and stabilization of hybrid fractional-order multi-dimensional systems with interval uncertainties: an LMI approachA Mittag-Leffler fractional-order difference observerA practical formula of solutions for a family of linear non-autonomous fractional nabla difference equationsContainment control of fractional discrete-time multi-agent systems with nonconvex constraintsAsymptotic stability of \((q, h)\)-fractional difference equationsClosed-loop time response analysis of irrational fractional-order systems with numerical Laplace transform techniqueTwo asymptotic results of solutions for nabla fractional (q; h)-difference equationsStability analysis for a class of nabla (q; h)-fractional difference equationsRandom fractional generalized Airy differential equations: a probabilistic analysis using mean square calculusAnti-synchronization of fractional-order chaotic complex systems with unknown parameters via adaptive controlDiscrete fractional calculus for interval-valued systemsSynchronization for fractional-order discrete-time neural networks with time delaysMittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point techniqueStability analysis of impulsive fractional difference equationsRobust state estimation for fractional-order complex-valued delayed neural networks with interval parameter uncertainties: LMI approachDiscussion on the Leibniz rule and Laplace transform of fractional derivatives using series representationOn Hilfer fractional difference operatorFinite difference method for Riesz space fractional diffusion equations with delay and a nonlinear source termOn the Dynamics and Control of a Fractional Form of the Discrete Double ScrollTime fractional derivative model with Mittag-Leffler function kernel for describing anomalous diffusion: analytical solution in bounded-domain and model comparisonIdentification of chaos in fractional chaotic mapConsensus of multiagent systems described by various noninteger derivativesQuasi-matrix and quasi-inverse-matrix projective synchronization for delayed and disturbed fractional order neural networkExistence of \((N, \lambda)\)-periodic solutions for abstract fractional difference equationsOn the novel Ulam-Hyers stability for a class of nonlinear \(\psi\)-Hilfer fractional differential equation with time-varying delaysA transformation method for delta partial difference equations on discrete time scaleCaputo and related fractional derivatives in singular systemsNew complex projective synchronization strategies for drive-response networks with fractional complex-variable dynamicsON FRACTIONAL ORDER MAPS AND THEIR SYNCHRONIZATIONStability analysis of a fractional-order SIS model on complex networks with linear treatment function



Cites Work


This page was built for publication: Lyapunov functions for Riemann-Liouville-like fractional difference equations