NONLINEAR NEUTRAL CAPUTO-FRACTIONAL DIFFERENCE EQUATIONS WITH APPLICATIONS TO LOTKA-VOLTERRA NEUTRAL MODEL

DOI10.22190/FUMI2005475MzbMath1499.39022OpenAlexW3133731208MaRDI QIDQ5011312

Abdelouaheb Ardjouni, Mouataz Billah Mesmouli, Ahcene Djoudi

Publication date: 27 August 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi2005475m

zbMATH Keywords

existence and uniquenessKrasnoselskii fixed point theoremfractional difference equationscontraction operatorArzela-Ascoli's theoremneutral discrete fractional Lotka-Volterra model

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13)

Cites Work

• Unnamed Item
• On the definitions of nabla fractional operators
• Modeling with fractional difference equations
• On delta and nabla Caputo fractional differences and dual identities
• Discrete fractional calculus with the nabla operator
• Caputo fractional differential inclusions of arbitrary order with nonlocal integro-multipoint boundary conditions

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