Existence and asymptotic behaviors of nonlinear neutral Caputo nabla fractional difference equations

DOI10.1007/S13370-022-01020-WOpenAlexW4287921996WikidataQ114219864 ScholiaQ114219864MaRDI QIDQ2163337

Naveed Iqbal, Mouataz Billah Mesmouli, Abdelouaheb Ardjouni

Publication date: 10 August 2022

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-022-01020-w

zbMATH Keywords

fixed point theoremfractional difference equationsArzela-Ascoli's theoremnabla discrete Mittag-Leffler functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Difference and functional equations (39-XX)

Cites Work

• Unnamed Item
• On the definitions of nabla fractional operators
• Modeling with fractional difference equations
• Novel Mittag-Leffler stability of linear fractional delay difference equations with impulse
• Monotonicity analysis of a nabla discrete fractional operator with discrete Mittag-Leffler kernel
• Lyapunov functions for Riemann-Liouville-like fractional difference equations
• Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions
• Stability analysis by fixed point theorems for a class of non-linear Caputo nabla fractional difference equation
• On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions
• Different type kernel \(h\)-fractional differences and their fractional \(h\)-sums
• Fractional difference operators with discrete generalized Mittag-Leffler kernels
• Variable-order fractional discrete-time recurrent neural networks
• On delta and nabla Caputo fractional differences and dual identities
• \(PD^\vartheta\) control strategy for a fractional-order chaotic financial model
• A fixed-point theorem of Krasnoselskii
• Discrete Fractional Calculus
• Discrete fractional calculus with the nabla operator
• Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments
• Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique

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