The relation between Nabla fractional differences and Nabla integer differences

DOI10.2298/FIL1706741BzbMath1488.26011OpenAlexW2410263444WikidataQ114043036 ScholiaQ114043036MaRDI QIDQ4956615

Jia Baoguo, Christopher S. Goodrich, Lynn H. Erbe, Allan C. Peterson

Publication date: 2 September 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1706741b

zbMATH Keywords

integration by partsTaylor monomialnabla fractional difference

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Difference operators (39A70) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)

Related Items (14)

Analysis of convexity results for discrete fractional nabla operators ⋮ 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 ⋮ A uniformly sharp monotonicity result for discrete fractional sequential differences ⋮ Unnamed Item ⋮ 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 ⋮ New monotonicity conditions in discrete fractional calculus with applications to extremality conditions ⋮ A uniformly sharp convexity result for discrete fractional sequential differences ⋮ Caputo nabla fractional boundary value problems ⋮ Sharp monotonicity results for fractional nabla sequential differences ⋮ Mixed order monotonicity results for sequential fractional nabla differences ⋮ 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

Cites Work

• Unnamed Item
• Two monotonicity results for nabla and delta fractional differences
• Discrete fractional logistic map and its chaos
• Sum and Difference Compositions in Discrete Fractional Calculus
• Discrete Fractional Calculus
• Convexity for nabla and delta fractional differences

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