Stability analysis by fixed point theorems for a class of non-linear Caputo nabla fractional difference equation

DOI10.1186/s13662-020-02674-1zbMath1482.39004OpenAlexW3028895610WikidataQ114061278 ScholiaQ114061278MaRDI QIDQ2078160

Thabet Abdeljawad, Rabia Ilyas Butt, Mujeeb Ur Rehman

Publication date: 25 February 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02674-1

zbMATH Keywords

stabilitySchauder's fixed point theoremBanach contraction principleKrasnoselskii's fixed point theoremCaputo nabla fractional difference

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Difference equations, scaling ((q)-differences) (39A13) Stability theory for difference equations (39A30)

Related Items

Ulam's type stability analysis of fractional difference equation with impulse: Gronwall inequality approach, Existence and asymptotic behaviors of nonlinear neutral Caputo nabla fractional difference equations, A uniqueness criterion for nontrivial solutions of the nonlinear higher-order ∇-difference systems of fractional-order, Analysis of mathematical model involving nonlinear systems of Caputo-Fabrizio fractional differential equation, Solvability for two dimensional functional integral equations via Petryshyn's fixed point theorem

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