Convexity in fractional h-discrete calculus

DOI10.7153/dea-2022-14-22zbMath1499.39014OpenAlexW4285141113WikidataQ113998158 ScholiaQ113998158MaRDI QIDQ5078858

Jonnalagadda Jagan Mohan, F. Merdivenci Atici

Publication date: 25 May 2022

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2022-14-22

zbMATH Keywords

monotonicityconvexityfractional \(h\)-discrete operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)

Cites Work

• Monotonicity results for \(h\)-discrete fractional operators and application
• Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions
• A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity
• A convexity result for fractional differences
• A monotonicity result for discrete fractional difference operators
• Monotonicity and convexity for nabla fractional (q, h)-differences
• Monotonicity results for nabla fractional h‐difference operators
• Monotonicity results for delta and nabla caputo and Riemann fractional differences via dual identities
• Analysis of discrete fractional operators
• Monotonicity results for delta fractional differences revisited