A uniformly sharp monotonicity result for discrete fractional sequential differences
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Publication:1692347
DOI10.1007/s00013-017-1106-4zbMath1384.39011OpenAlexW2765210472MaRDI QIDQ1692347
Publication date: 26 January 2018
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-017-1106-4
Fractional derivatives and integrals (26A33) Difference operators (39A70) Monotonic functions, generalizations (26A48) Oscillation theory for difference equations (39A21)
Related Items (17)
Monotonicity results for CFC nabla fractional differences with negative lower bound ⋮ Analysis of convexity results for discrete fractional nabla operators ⋮ Analytical and numerical monotonicity results for discrete fractional sequential differences with negative lower bound ⋮ A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity ⋮ Positivity and monotonicity results for triple sequential fractional differences via convolution ⋮ Qualitative properties of nonlocal discrete operators ⋮ On positivity and monotonicity analysis for discrete fractional operators with discrete Mittag–Leffler kernel ⋮ Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order ⋮ An analysis of polynomial sequences and their application to discrete fractional operators ⋮ Existence and uniqueness theorem of the solution to a class of nonlinear nabla fractional difference system with a time delay ⋮ An analysis of the sharpness of monotonicity results via homotopy for sequential fractional operators ⋮ A uniformly sharp convexity result for discrete fractional sequential differences ⋮ Sharp monotonicity results for fractional nabla sequential differences ⋮ Mixed order monotonicity results for sequential fractional nabla differences ⋮ Existence and uniqueness of solutions for a class of higher-order fractional boundary value problems with the nonlinear term satisfying some inequalities ⋮ Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound ⋮ Monotonicity results for sequential fractional differences of mixed orders with negative lower bound
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