Discrete fractional calculus and the Saalschutz theorem

DOI10.1016/J.BULSCI.2021.103086OpenAlexW3213660139WikidataQ113878792 ScholiaQ113878792MaRDI QIDQ2071443

Rui A. C. Ferreira

Publication date: 28 January 2022

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.11605

zbMATH Keywords

Leibniz rulefractional differencesSaalschutz's theorem

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)

Cites Work

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• Modeling with fractional difference equations
• A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity
• Sum and Difference Compositions in Discrete Fractional Calculus
• A new look at Bernoulli’s inequality
• Discrete Fractional Calculus
• Initial value problems in discrete fractional calculus
• On a New Definition of the Fractional Difference
• The Poisson distribution, abstract fractional difference equations, and stability
• A discrete fractional Gronwall inequality

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