Oscillatory behavior of solutions of certain fractional difference equations

DOI10.1186/s13662-018-1905-3zbMath1448.39010OpenAlexW2903511786WikidataQ128838563 ScholiaQ128838563MaRDI QIDQ1716342

Hakan Adıgüzel

Publication date: 4 February 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-018-1905-3

zbMATH Keywords

oscillationRiccati techniqueoscillation criteriaHardy inequalitiesfractional difference equationsRiemann-Liouvillefractional difference operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13) Oscillation theory for difference equations (39A21)

Related Items (7)

A uniqueness criterion for nontrivial solutions of the nonlinear higher-order ∇-difference systems of fractional-order ⋮ Oscillation of linear and half-linear differential equations via generalized Riccati technique ⋮ Oscillation and nonoscillation of perturbed nonlinear equations with p‐Laplacian ⋮ Oscillation of linear and half-linear difference equations via modified Riccati transformation ⋮ New conditionally oscillatory class of equations with coefficients containing slowly varying and periodic functions ⋮ Oscillation criteria for a class of nonlinear discrete fractional order equations with damping term ⋮ Oscillation behaviour of solutions for a class of a discrete nonlinear fractional-order derivatives

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