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...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2025-12-01
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| Series: | Applied Mathematics in Science and Engineering |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/27690911.2025.2455190 |
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| _version_ | 1832540593421549568 |
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| author | Yonghong Liu Ghulam Farid Jongsuk Ro Mawahib Elamin Sayed Abdel-Khalek |
| author_facet | Yonghong Liu Ghulam Farid Jongsuk Ro Mawahib Elamin Sayed Abdel-Khalek |
| author_sort | Yonghong Liu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-45c04856cd6c41a498a340b4a6bc29f7 |
| institution | Kabale University |
| issn | 2769-0911 |
| language | English |
| publishDate | 2025-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Applied Mathematics in Science and Engineering |
| spelling | doaj-art-45c04856cd6c41a498a340b4a6bc29f72025-02-04T19:51:20ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112025-12-0133110.1080/27690911.2025.2455190Some well-known inequalities of Ostrowski like for Caputo derivativesYonghong Liu0Ghulam Farid1Jongsuk Ro2Mawahib Elamin3Sayed Abdel-Khalek4School of Computer Science, Chengdu University, Chengdu, People's Republic of ChinaDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, PakistanSchool of Electrical and Electronics Engineering, Chung-Ang University, Dongjak-gu, Seoul, Republic of KoreaDepartment of Mathematics, College of Science, Qassim University, Buraydah, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Taif University, Taif, Saudi ArabiaThis 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.https://www.tandfonline.com/doi/10.1080/27690911.2025.2455190Ostrowski inequalityHadamard inequalityGrüss inequalityCaputo fractional derivatives26A2426A33 |
| spellingShingle | Yonghong Liu Ghulam Farid Jongsuk Ro Mawahib Elamin Sayed Abdel-Khalek Some well-known inequalities of Ostrowski like for Caputo derivatives Applied Mathematics in Science and Engineering Ostrowski inequality Hadamard inequality Grüss inequality Caputo fractional derivatives 26A24 26A33 |
| title | Some well-known inequalities of Ostrowski like for Caputo derivatives |
| title_full | Some well-known inequalities of Ostrowski like for Caputo derivatives |
| title_fullStr | Some well-known inequalities of Ostrowski like for Caputo derivatives |
| title_full_unstemmed | Some well-known inequalities of Ostrowski like for Caputo derivatives |
| title_short | Some well-known inequalities of Ostrowski like for Caputo derivatives |
| title_sort | some well known inequalities of ostrowski like for caputo derivatives |
| topic | Ostrowski inequality Hadamard inequality Grüss inequality Caputo fractional derivatives 26A24 26A33 |
| url | https://www.tandfonline.com/doi/10.1080/27690911.2025.2455190 |
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