Some well-known inequalities of Ostrowski like for Caputo derivatives
This paper aims to provide new versions of some known inequalities by applying Caputo fractional derivatives. Ostrowski, Hermite-Hadamard and Ostrowski-Grüss-type inequalities are given. Generalized conditions of existing inequalities are analysed to get new inequalities. Special cases are discussed to prove the general nature of former inequalities.
Authors
- Jong‐Suk Ro
- Mawahib Elamin
- S. Abdel‐Khalek (ORCID: https://orcid.org/0000-0003-1822-2456)
- Ghulam Farid (ORCID: https://orcid.org/0000-0002-8895-4460)
- Yonghong Liu (ORCID: https://orcid.org/0000-0003-2307-5200)
Institutions
- Qassim University (SA)
- COMSATS University Islamabad (PK)
- Taif University (SA)
- Chengdu University (CN)
- Chung-Ang University (KR)
Publication Details
- Journal
- Applied Mathematics in Science and Engineering
- Published
- 2025-02-04
- DOI
- https://doi.org/10.1080/27690911.2025.2455190
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministry of Trade, Industry and Energy
- National Research Foundation of Korea
- Korea Institute of Energy Technology Evaluation and Planning