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Article detail · 2021

Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions

Journal

Journal of Function Spaces
OpenAlex Open access · gold SJR Q3 JCR Q2 Citations 53 Top 1% Percentile 99.7% FWCI 16.06
Year
2021
DOI
10.1155/2021/1055434
Type
article

Data source split

  • YÖKSİS venue Journal of Function Spaces
  • OpenAlex OpenAlex enrichment (abstract, citations, topics)

OpenAlex record

Abstract

OpenAlex · English

Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defined by Atangana and Baleanu (Atangana and Baleanu, 2016). In this study, firstly, a new identity by using Atangana-Baleanu fractional integral operators is proved. Then, new fractional integral inequalities have been obtained for convex and concave functions with the help of this identity and some certain integral inequalities.

Topics

Citations

OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.

53 citations

OpenAlex cited_by_count (cache / database)

15 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).

  1. Integral inequalities for differentiable s-convex functions in the second sense via Atangana-Baleanu fractional integral operators 2023 Citations 10 · OpenAlex
  2. Novel Estimations of Hadamard-Type Integral Inequalities for Raina’s Fractional Operators 2024 Citations 4 · OpenAlex
  3. Construction of new fractional inequalities via generalized n-fractional polynomial s-type convexity 2024 Citations 4 · OpenAlex
  4. The dependence on fractional orders of mild solutions to the fractional diffusion equation with memory 2022 Citations 3 · OpenAlex
  5. A new approach to the directional derivative of fractional order 2025 Citations 2 · OpenAlex
  6. New integral inequalities for synchronous functions via Atangana–Baleanu fractional integral operators 2024 Citations 2 · OpenAlex
  7. New integral inequalities for synchronous functions via Atangana–Baleanu fractional integral operators 2024 Citations 2 · OpenAlex
  8. New approaches for m-convex functions via fractional integral operators with strong kernels 2023 Citations 1 · OpenAlex
  9. New approaches for m-convex functions via fractional integral operators with strong kernels 2023 Citations 1 · OpenAlex
  10. Some Fractal-Fractional Integral Inequalities for Different Kinds of Convex Functions. 2022 Citations 1 · OpenAlex

Authors

  1. AHMET OCAK AKDEMİR AĞRI İBRAHİM ÇEÇEN ÜNİVERSİTESİ