Mittag–Leffler Stability of Systems of Fractional Nabla Difference Equations

DOI10.4134/BKMS.b180749zbMath1423.39020OpenAlexW3006124389MaRDI QIDQ5242392

Jonnalagadda Jagan Mohan, Paul W. Eloe

Publication date: 8 November 2019

Full work available at URL: http://koreascience.or.kr:80/article/JAKO201921467620258.pdf

zbMATH Keywords

Mittag-Leffler stability\(N\)-transformdiscrete Mittag-Leffler functiondiscrete exponential functionfractional order nabla difference

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Fractional ordinary differential equations (34A08) Stability theory for difference equations (39A30)

Related Items

Positive solutions of nabla fractional boundary value problem, Green's function for a discrete fractional boundary value problem, Lyapunov theorem for stability analysis of nonlinear nabla fractional order systems, Lyapunov stability analysis for incommensurate nabla fractional order systems, Unnamed Item, Pharmacokinetics and pharmacodynamics models of tumor growth and anticancer effects in discrete time

Cites Work

• Unnamed Item
• Linear systems of fractional nabla difference equations
• On Riemann and Caputo fractional differences
• On the definitions of nabla fractional operators
• Analysis of a system of nonlinear fractional nabla difference equations
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• Nabla discrete fractional calculus and nabla inequalities
• First and second order linear dynamic equations on time scales
• Comparison theorems and asymptotic behavior of solutions of discrete fractional equations
• Solutions of fractional nabla difference equations - existence and uniqueness
• Discrete Fractional Calculus
• Discrete fractional calculus with the nabla operator
• On a New Definition of the Fractional Difference
• Exponential functions of discrete fractional calculus
• The asymptotic behavior of Caputo delta fractional equations