A novel delayed discrete fractional Mittag-Leffler function: representation and stability of delayed fractional difference system (Q6584728)

scientific article; zbMATH DE number 7893830

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English	A novel delayed discrete fractional Mittag-Leffler function: representation and stability of delayed fractional difference system	scientific article; zbMATH DE number 7893830

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instance of

scholarly article

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title

A novel delayed discrete fractional Mittag-Leffler function: representation and stability of delayed fractional difference system (English)

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author

Muath Awadalla

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Nazim Idrisoglu Mahmudov

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Jihan Alahmadi

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published in

Journal of Applied Mathematics and Computing

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publication date

8 August 2024

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zbMATH Keywords

discrete delayed perturbation

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fractional difference system

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nabla discrete Mittag-Leffler function

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time-delay

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Representation of solutions of linear discrete systems with constant coefficients and pure delay

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Representation of solutions of discrete delayed system \(x(k+1)=Ax(k)+Bx(k-m)+f(k)\) with commutative matrices

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Representation of solutions of discrete linear delay systems with non-permutable matrices

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Delayed linear difference equations: The method of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mo>Ƶ</mml:mo></mml:math>-transform

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Representation of solutions of systems of linear differential equations with multiple delays and linear parts given by nonpermutable matrices

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A new collection of real world applications of fractional calculus in science and engineering

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Variable-order fractional discrete-time recurrent neural networks

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Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations

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Finite time stability of fractional delay differential equations

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Representation of solution of a Riemann-Liouville fractional differential equation with pure delay

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Delayed perturbation of Mittag‐Leffler functions and their applications to fractional linear delay differential equations

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Finite time stability and relative controllability of Riemann‐Liouville fractional delay differential equations

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Lyapunov functions for Riemann-Liouville-like fractional difference equations

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Discrete fractional calculus with the nabla operator

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Finite-time stability of discrete fractional delay systems: Gronwall inequality and stability criterion

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Finite-time stability of a class of nonlinear fractional delay difference systems

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New variable-order fractional chaotic systems for fast image encryption

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Discrete fractional calculus for interval-valued systems

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A study on discrete and discrete fractional pharmacokinetics-pharmacodynamics models for tumor growth and anti-cancer effects

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Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels

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Fractional difference operators with discrete generalized Mittag-Leffler kernels

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Discrete Mittag-Leffler functions in linear fractional difference equations

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A generalized discrete fractional Gronwall inequality and its application on the uniqueness of solutions for nonlinear delay fractional difference system

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On Riemann and Caputo fractional differences

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Gronwall's inequality on discrete fractional calculus

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Linear systems of fractional nabla difference equations

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Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique

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Finite-time stability of linear fractional time-delay \(q\)-difference dynamical system

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Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach

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Comparison theorems and asymptotic behavior of solutions of discrete fractional equations

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Discrete Fractional Calculus

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On the Hyers-Ulam stability of the first-order difference equation

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Hyers-Ulam stability of the first-order matrix difference equations

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Hyers-Ulam stability of first-order nonhomogeneous linear difference equations with a constant stepsize

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Theory of discrete fractional Sturm-Liouville equations and visual results

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Existence and uniqueness theorem of the solution to a class of nonlinear nabla fractional difference system with a time delay

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Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities

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Hyers-Ulam stability of fractional nabla difference equations

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Ulam‐Hyers stability of Caputo fractional difference equations

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Representation of solutions and finite-time stability for fractional delay oscillation difference equations

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Exact solutions and Hyers-Ulam stability of fractional equations with double delays

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Analyses of solutions of Riemann‐Liouville fractional oscillatory differential equations with pure delay

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Finite time stability of fractional delay difference systems: a discrete delayed Mittag-Leffler matrix function approach

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Identifiers

zbMATH Open document ID

1544.33017

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Mathematics Subject Classification ID

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10.1007/S12190-024-02012-8

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Sitelinks

Mathematics(1 entry)

mardi Publication:6584728